See prime number in All languages combined, or Wiktionary
{ "antonyms": [ { "sense": "antonym(s) of “natural number divisible only by itself and 1”", "word": "composite number" } ], "forms": [ { "form": "prime numbers", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "prime number (plural prime numbers)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ { "kind": "topical", "langcode": "en", "name": "Number theory", "orig": "en:Number theory", "parents": [ "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "_dis": "72 28", "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w+disamb" }, { "_dis": "78 22", "kind": "other", "name": "Entries with translation boxes", "parents": [], "source": "w+disamb" }, { "_dis": "68 32", "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w+disamb" }, { "_dis": "72 28", "kind": "other", "name": "Pages with entries", "parents": [], "source": "w+disamb" }, { "_dis": "70 30", "kind": "other", "name": "Terms with Afrikaans translations", "parents": [], "source": "w+disamb" }, { "_dis": "70 30", "kind": "other", "name": "Terms with Albanian translations", "parents": [], "source": "w+disamb" }, { "_dis": "74 26", "kind": "other", "name": "Terms with Amharic translations", "parents": [], "source": "w+disamb" }, { "_dis": "70 30", "kind": "other", "name": "Terms with Arabic translations", "parents": [], "source": "w+disamb" }, { "_dis": "70 30", "kind": "other", "name": "Terms with Armenian translations", "parents": [], "source": "w+disamb" }, { "_dis": "70 30", "kind": "other", "name": "Terms with Azerbaijani translations", "parents": [], "source": "w+disamb" }, { "_dis": "68 32", "kind": "other", "name": "Terms with Basque translations", "parents": [], "source": "w+disamb" }, { "_dis": "69 31", "kind": "other", "name": "Terms with Belarusian translations", "parents": [], "source": "w+disamb" }, { "_dis": "71 29", "kind": "other", "name": "Terms with Bengali translations", "parents": [], "source": "w+disamb" }, { "_dis": "70 30", "kind": "other", "name": "Terms with Breton translations", "parents": [], "source": "w+disamb" }, { "_dis": "69 31", "kind": "other", "name": "Terms with Bulgarian translations", "parents": [], "source": "w+disamb" }, { "_dis": "69 31", "kind": "other", "name": "Terms with Burmese translations", "parents": [], "source": "w+disamb" }, { "_dis": "71 29", "kind": "other", "name": "Terms with Cantonese translations", "parents": [], "source": "w+disamb" }, { "_dis": "67 33", "kind": "other", "name": "Terms with Catalan translations", "parents": [], "source": "w+disamb" }, { "_dis": "70 30", "kind": "other", "name": "Terms with Corsican translations", "parents": [], "source": "w+disamb" }, { "_dis": "63 37", "kind": "other", "name": "Terms with Czech translations", "parents": [], "source": "w+disamb" }, { "_dis": "76 24", "kind": "other", "name": "Terms with Danish translations", "parents": [], "source": "w+disamb" }, { "_dis": "70 30", "kind": "other", "name": "Terms with Dutch translations", "parents": [], "source": "w+disamb" }, { "_dis": "72 28", "kind": "other", "name": "Terms with Esperanto translations", "parents": [], "source": "w+disamb" }, { "_dis": "71 29", "kind": "other", "name": "Terms with Estonian translations", "parents": [], "source": "w+disamb" }, { "_dis": "72 28", "kind": "other", "name": "Terms with Finnish translations", "parents": [], "source": "w+disamb" }, { "_dis": "75 25", "kind": "other", "name": "Terms with French translations", "parents": [], "source": "w+disamb" }, { "_dis": "69 31", "kind": "other", "name": "Terms with Galician translations", "parents": [], "source": "w+disamb" }, { "_dis": "69 31", "kind": "other", "name": "Terms with Georgian translations", "parents": [], "source": "w+disamb" }, { "_dis": "74 26", "kind": "other", "name": "Terms with German translations", "parents": [], "source": "w+disamb" }, { "_dis": "71 29", "kind": "other", "name": "Terms with Greek translations", "parents": [], "source": "w+disamb" }, { "_dis": "68 32", "kind": "other", "name": "Terms with Hausa translations", "parents": [], "source": "w+disamb" }, { "_dis": "71 29", "kind": "other", "name": "Terms with Hebrew translations", "parents": [], "source": "w+disamb" }, { "_dis": "67 33", "kind": "other", "name": "Terms with Hindi translations", "parents": [], "source": "w+disamb" }, { "_dis": "71 29", "kind": "other", "name": "Terms with Hokkien translations", "parents": [], "source": "w+disamb" }, { "_dis": "69 31", "kind": "other", "name": "Terms with Hungarian translations", "parents": [], "source": "w+disamb" }, { "_dis": "68 32", "kind": "other", "name": "Terms with Icelandic translations", "parents": [], "source": "w+disamb" }, { "_dis": "69 31", "kind": "other", "name": "Terms with Igbo translations", "parents": [], "source": "w+disamb" }, { "_dis": "71 29", "kind": "other", "name": "Terms with Indonesian translations", "parents": [], "source": "w+disamb" }, { "_dis": "67 33", "kind": "other", "name": "Terms with Irish translations", "parents": [], "source": "w+disamb" }, { "_dis": "77 23", "kind": "other", "name": "Terms with Italian translations", "parents": [], "source": "w+disamb" }, { "_dis": "77 23", "kind": "other", "name": "Terms with Japanese translations", "parents": [], "source": "w+disamb" }, { "_dis": "70 30", "kind": "other", "name": "Terms with Javanese translations", "parents": [], "source": "w+disamb" }, { "_dis": "71 29", "kind": "other", "name": "Terms with Kannada translations", "parents": [], "source": "w+disamb" }, { "_dis": "70 30", "kind": "other", "name": "Terms with Kazakh translations", "parents": [], "source": "w+disamb" }, { "_dis": "68 32", "kind": "other", "name": "Terms with Khmer translations", "parents": [], "source": "w+disamb" }, { "_dis": "72 28", "kind": "other", "name": "Terms with Korean translations", "parents": [], "source": "w+disamb" }, { "_dis": "68 32", "kind": "other", "name": "Terms with Kyrgyz translations", "parents": [], "source": "w+disamb" }, { "_dis": "74 26", "kind": "other", "name": "Terms with Latin translations", "parents": [], "source": "w+disamb" }, { "_dis": "71 29", "kind": "other", "name": "Terms with Latvian translations", "parents": [], "source": "w+disamb" }, { "_dis": "71 29", "kind": "other", "name": "Terms with Lithuanian translations", "parents": [], "source": "w+disamb" }, { "_dis": "63 37", "kind": "other", "name": "Terms with Lombard translations", "parents": [], "source": "w+disamb" }, { "_dis": "66 34", "kind": "other", "name": "Terms with Low German translations", "parents": [], "source": "w+disamb" }, { "_dis": "71 29", "kind": "other", "name": "Terms with Luxembourgish translations", "parents": [], "source": "w+disamb" }, { "_dis": "71 29", "kind": "other", "name": "Terms with Macedonian translations", "parents": [], "source": "w+disamb" }, { "_dis": "70 30", "kind": "other", "name": "Terms with Malay translations", "parents": [], "source": "w+disamb" }, { "_dis": "74 26", "kind": "other", "name": "Terms with Malayalam translations", "parents": [], "source": "w+disamb" }, { "_dis": "68 32", "kind": "other", "name": "Terms with Maltese translations", "parents": [], "source": "w+disamb" }, { "_dis": "67 33", "kind": "other", "name": "Terms with Mandarin translations", "parents": [], "source": "w+disamb" }, { "_dis": "68 32", "kind": "other", "name": "Terms with Manx translations", "parents": [], "source": "w+disamb" }, { "_dis": "68 32", "kind": "other", "name": "Terms with Maori translations", "parents": [], "source": "w+disamb" }, { "_dis": "68 32", "kind": "other", "name": "Terms with Mongolian translations", "parents": [], "source": "w+disamb" }, { "_dis": "68 32", "kind": "other", "name": "Terms with Norwegian Bokmål translations", "parents": [], "source": "w+disamb" }, { "_dis": "74 26", "kind": "other", "name": "Terms with Norwegian Nynorsk translations", "parents": [], "source": "w+disamb" }, { "_dis": "71 29", "kind": "other", "name": "Terms with Persian translations", "parents": [], "source": "w+disamb" }, { "_dis": "67 33", "kind": "other", "name": "Terms with Polish translations", "parents": [], "source": "w+disamb" }, { "_dis": "75 25", "kind": "other", "name": "Terms with Portuguese translations", "parents": [], "source": "w+disamb" }, { "_dis": "69 31", "kind": "other", "name": "Terms with Punjabi translations", "parents": [], "source": "w+disamb" }, { "_dis": "72 28", "kind": "other", "name": "Terms with Romanian translations", "parents": [], "source": "w+disamb" }, { "_dis": "74 26", "kind": "other", "name": "Terms with Russian translations", "parents": [], "source": "w+disamb" }, { "_dis": "68 32", "kind": "other", "name": "Terms with Scottish Gaelic translations", "parents": [], "source": "w+disamb" }, { "_dis": "70 30", "kind": "other", "name": "Terms with Serbo-Croatian translations", "parents": [], "source": "w+disamb" }, { "_dis": "68 32", "kind": "other", "name": "Terms with Sicilian translations", "parents": [], "source": "w+disamb" }, { "_dis": "70 30", "kind": "other", "name": "Terms with Sinhalese translations", "parents": [], "source": "w+disamb" }, { "_dis": "71 29", "kind": "other", "name": "Terms with Slovak translations", "parents": [], "source": "w+disamb" }, { "_dis": "70 30", "kind": "other", "name": "Terms with Slovene translations", "parents": [], "source": "w+disamb" }, { "_dis": "83 17", "kind": "other", "name": "Terms with Southern Altai translations", "parents": [], "source": "w+disamb" }, { "_dis": "78 22", "kind": "other", "name": "Terms with Spanish translations", "parents": [], "source": "w+disamb" }, { "_dis": "70 30", "kind": "other", "name": "Terms with Sundanese translations", "parents": [], "source": "w+disamb" }, { "_dis": "71 29", "kind": "other", "name": "Terms with Swahili translations", "parents": [], "source": "w+disamb" }, { "_dis": "67 33", "kind": "other", "name": "Terms with Swedish translations", "parents": [], "source": "w+disamb" }, { "_dis": "71 29", "kind": "other", "name": "Terms with Tagalog translations", "parents": [], "source": "w+disamb" }, { "_dis": "70 30", "kind": "other", "name": "Terms with Tajik translations", "parents": [], "source": "w+disamb" }, { "_dis": "71 29", "kind": "other", "name": "Terms with Tamil translations", "parents": [], "source": "w+disamb" }, { "_dis": "68 32", "kind": "other", "name": "Terms with Telugu translations", "parents": [], "source": "w+disamb" }, { "_dis": "71 29", "kind": "other", "name": "Terms with Thai translations", "parents": [], "source": "w+disamb" }, { "_dis": "69 31", "kind": "other", "name": "Terms with Turkish translations", "parents": [], "source": "w+disamb" }, { "_dis": "68 32", "kind": "other", "name": "Terms with Ukrainian translations", "parents": [], "source": "w+disamb" }, { "_dis": "71 29", "kind": "other", "name": "Terms with Urdu translations", "parents": [], "source": "w+disamb" }, { "_dis": "68 32", "kind": "other", "name": "Terms with Uyghur translations", "parents": [], "source": "w+disamb" }, { "_dis": "70 30", "kind": "other", "name": "Terms with Vietnamese translations", "parents": [], "source": "w+disamb" }, { "_dis": "73 27", "kind": "other", "name": "Terms with Welsh translations", "parents": [], "source": "w+disamb" }, { "_dis": "72 28", "kind": "other", "name": "Terms with Xhosa translations", "parents": [], "source": "w+disamb" }, { "_dis": "71 29", "kind": "other", "name": "Terms with Yiddish translations", "parents": [], "source": "w+disamb" }, { "_dis": "68 32", "kind": "other", "name": "Terms with Yoruba translations", "parents": [], "source": "w+disamb" }, { "_dis": "68 32", "kind": "other", "name": "Terms with Zulu translations", "parents": [], "source": "w+disamb" }, { "_dis": "46 54", "kind": "topical", "langcode": "en", "name": "Numbers", "orig": "en:Numbers", "parents": [ "All topics", "Terms by semantic function", "Fundamental" ], "source": "w+disamb" } ], "examples": [ { "text": "The fundamental theorem of arithmetic states that every natural number greater than 1 can be factorized into prime numbers in a way that is unique up to the order in which the factors are written.", "type": "example" }, { "text": "2007, James Alfred Walker, Julian Francis Miller, Predicting Prime Numbers Using Cartesian Genetic Programming, Marc Ebner, Michael O'Neill, Anikó Ekárt, Anna Isabel Esparcia-Alcázar, Leonardo Vanneschi (editors), Genetic Programming: 10th European Conference, EuroGP 2007, Proceedings, Springer, LNCS 4445, page 215,\nAs the evolved solution for the first 16 prime numbers was capable of accepting inputs up to 31, we decided to extend the experiment to see how the solution generalised on 15 previously unseen inputs (just as we did with the integer-based approach). From the 15 unseen inputs, 7 of the predicted 15 outputs were prime numbers, which is just below 50%, indicating that the solution had learned something about \"primeness\" or favoured prime numbers." }, { "ref": "2010, Colin Foster, Resources for Teaching Mathematics: 14-16, Continuum International Publishing Group, page 168:", "text": "The most common definition of a prime number used in school seems to be 'an integer whose only factors are one and itself', which unfortunately leaves open the question of whether one is itself a prime number. Until the nineteenth century, most mathematicians regarded one as a prime number – Henri Lebesgue (1875–1941) is often said to be the last professional mathematician to call one prime – so it is a little unfair to regard learners as silly for thinking this today, or for questioning why we do not now regard one as a prime number – it is still a good question.", "type": "quote" }, { "ref": "2013 July-August, Sarah Glaz, “Ode to Prime Numbers”, in American Scientist, volume 101, number 4:", "text": "Some poems, echoing the purpose of early poetic treatises on scientific principles, attempt to elucidate the mathematical concepts that underlie prime numbers. Others play with primes’ cultural associations. Still others derive their structure from mathematical patterns involving primes.", "type": "quote" } ], "glosses": [ "Any natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers." ], "id": "en-prime_number-en-noun-2HazstAa", "links": [ [ "number theory", "number theory" ], [ "natural number", "natural number" ], [ "multiply", "multiply" ] ], "raw_glosses": [ "(number theory) Any natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers." ], "topics": [ "mathematics", "number-theory", "sciences" ] }, { "categories": [ { "kind": "topical", "langcode": "en", "name": "Number theory", "orig": "en:Number theory", "parents": [ "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "_dis": "46 54", "kind": "topical", "langcode": "en", "name": "Numbers", "orig": "en:Numbers", "parents": [ "All topics", "Terms by semantic function", "Fundamental" ], "source": "w+disamb" } ], "derived": [ { "_dis1": "29 71", "word": "prime constellation" }, { "_dis1": "29 71", "word": "prime factor" }, { "_dis1": "29 71", "word": "prime factorization" }, { "_dis1": "29 71", "word": "prime number theorem" } ], "glosses": [ "Any natural number (including 1) that is divisible only by itself and 1." ], "hypernyms": [ { "_dis1": "29 71", "word": "integer" }, { "_dis1": "29 71", "word": "natural number" }, { "_dis1": "29 71", "word": "number" } ], "hyponyms": [ { "_dis1": "29 71", "word": "additive prime number" }, { "_dis1": "29 71", "word": "annihilating prime number" }, { "_dis1": "29 71", "word": "Bell number prime number" }, { "_dis1": "29 71", "word": "Carol prime number" }, { "_dis1": "29 71", "word": "Catalan prime number" }, { "_dis1": "29 71", "word": "centered decagonal prime number" }, { "_dis1": "29 71", "word": "centered heptagonal prime number" }, { "_dis1": "29 71", "word": "centered square prime number" }, { "_dis1": "29 71", "word": "centered triangular prime number" }, { "_dis1": "29 71", "word": "Chen prime number" }, { "_dis1": "29 71", "word": "circular prime number" }, { "_dis1": "29 71", "word": "cousin prime number" }, { "_dis1": "29 71", "word": "Cuban prime number" }, { "_dis1": "29 71", "word": "Cullen prime number" }, { "_dis1": "29 71", "word": "Delannoy number prime number" }, { "_dis1": "29 71", "word": "deletable prime number" }, { "_dis1": "29 71", "word": "dihedral prime number" }, { "_dis1": "29 71", "word": "double factorial prime number" }, { "_dis1": "29 71", "word": "double Mersenne prime number" }, { "_dis1": "29 71", "word": "Eisenstein prime number without imaginary part" }, { "_dis1": "29 71", "word": "emirp" }, { "_dis1": "29 71", "word": "Euclid-Mullin Sequence prime number" }, { "_dis1": "29 71", "word": "Euclid prime number" }, { "_dis1": "29 71", "word": "Euler irregular prime number" }, { "_dis1": "29 71", "word": "even prime number" }, { "_dis1": "29 71", "word": "factorial prime number" }, { "_dis1": "29 71", "word": "Fermat prime number" }, { "_dis1": "29 71", "word": "Fibonacci prime number" }, { "_dis1": "29 71", "word": "fortunate prime number" }, { "_dis1": "29 71", "word": "Gaussian prime number" }, { "_dis1": "29 71", "word": "generalized Fermat prime number base 10" }, { "_dis1": "29 71", "word": "Genocchi number prime number" }, { "_dis1": "29 71", "word": "Gilda's prime number" }, { "_dis1": "29 71", "word": "good prime number" }, { "_dis1": "29 71", "word": "happy prime number" }, { "_dis1": "29 71", "word": "harmonic prime number" }, { "_dis1": "29 71", "word": "Higgs prime number for squares" }, { "_dis1": "29 71", "word": "highly cototient number prime number" }, { "_dis1": "29 71", "word": "irregular prime number" }, { "_dis1": "29 71", "word": "isolated prime number" }, { "_dis1": "29 71", "word": "Kynea prime number" }, { "_dis1": "29 71", "word": "left-truncatable prime number" }, { "_dis1": "29 71", "word": "Leyland prime number" }, { "_dis1": "29 71", "word": "long prime number" }, { "_dis1": "29 71", "word": "Lucas prime number" }, { "_dis1": "29 71", "word": "lucky prime number" }, { "_dis1": "29 71", "word": "Markov prime number" }, { "_dis1": "29 71", "word": "Mersenne prime number" }, { "_dis1": "29 71", "word": "Mills prime number" }, { "_dis1": "29 71", "word": "minimal prime number" }, { "_dis1": "29 71", "word": "Motzkin prime number" }, { "_dis1": "29 71", "word": "Newman–Shanks–Williams prime number" }, { "_dis1": "29 71", "word": "non-generous prime number" }, { "_dis1": "29 71", "word": "odd prime number" }, { "_dis1": "29 71", "word": "Padovan prime number" }, { "_dis1": "29 71", "word": "palindromic prime number" }, { "_dis1": "29 71", "word": "palindromic wing prime number" }, { "_dis1": "29 71", "word": "partition prime number" }, { "_dis1": "29 71", "word": "Pell prime number" }, { "_dis1": "29 71", "word": "permutable prime number" }, { "_dis1": "29 71", "word": "Perrin prime number" }, { "_dis1": "29 71", "word": "Pierpont prime number" }, { "_dis1": "29 71", "word": "Pillai prime number" }, { "_dis1": "29 71", "word": "prime number of Binary Quadratic Form" }, { "_dis1": "29 71", "word": "primeval prime number" }, { "_dis1": "29 71", "word": "primorial prime number" }, { "_dis1": "29 71", "word": "Proth prime number" }, { "_dis1": "29 71", "word": "Pythagorean prime number" }, { "_dis1": "29 71", "word": "Quartan prime number" }, { "_dis1": "29 71", "word": "Ramanujan prime number" }, { "_dis1": "29 71", "word": "regular prime number" }, { "_dis1": "29 71", "word": "repunit prime number" }, { "_dis1": "29 71", "word": "right-truncatable prime number" }, { "_dis1": "29 71", "word": "safe prime number" }, { "_dis1": "29 71", "word": "Schröder-Hipparchus number prime number" }, { "_dis1": "29 71", "word": "Schröder prime number" }, { "_dis1": "29 71", "word": "self prime number" }, { "_dis1": "29 71", "word": "sexy prime number" }, { "_dis1": "29 71", "word": "Smarandache-Wellin prime number" }, { "_dis1": "29 71", "word": "Smarandache–Wellin prime number" }, { "_dis1": "29 71", "word": "Solinas prime number" }, { "_dis1": "29 71", "word": "Sophie Germain prime number" }, { "_dis1": "29 71", "word": "star prime number" }, { "_dis1": "29 71", "word": "Stern prime number" }, { "_dis1": "29 71", "word": "super-prime number" }, { "_dis1": "29 71", "word": "supersingular prime number" }, { "_dis1": "29 71", "word": "swinging prime number" }, { "_dis1": "29 71", "word": "Thabit number prime number" }, { "_dis1": "29 71", "word": "twin prime number" }, { "_dis1": "29 71", "word": "two-sided prime number" }, { "_dis1": "29 71", "word": "Ulam number prime number" }, { "_dis1": "29 71", "word": "unique prime number" }, { "_dis1": "29 71", "word": "Wagstaff prime number" }, { "_dis1": "29 71", "word": "Wall–Sun–Sun prime number" }, { "_dis1": "29 71", "word": "Weakly prime numbers" }, { "_dis1": "29 71", "word": "Wedderburn-Etherington number prime number" }, { "_dis1": "29 71", "word": "Wieferich prime number" }, { "_dis1": "29 71", "word": "Wilson prime number" }, { "_dis1": "29 71", "word": "Wolstenholme prime number" }, { "_dis1": "29 71", "word": "Woodall prime number" } ], "id": "en-prime_number-en-noun-ehD8mB7V", "links": [ [ "number theory", "number theory" ], [ "natural number", "natural number" ], [ "divisible", "divisible" ] ], "raw_glosses": [ "(obsolete, number theory) Any natural number (including 1) that is divisible only by itself and 1." ], "related": [ { "_dis1": "29 71", "word": "primality" }, { "_dis1": "29 71", "word": "divisor" }, { "_dis1": "29 71", "word": "factor" } ], "synonyms": [ { "_dis1": "36 64", "sense": "natural number >1 divisible only by itself and 1", "word": "prime" } ], "tags": [ "obsolete" ], "topics": [ "mathematics", "number-theory", "sciences" ], "translations": [ { "_dis1": "42 58", "code": "af", "lang": "Afrikaans", "sense": "natural number", "word": "priemgetal" }, { "_dis1": "42 58", "code": "sq", "lang": "Albanian", "sense": "natural number", "word": "numri kryesor" }, { "_dis1": "42 58", "code": "am", "lang": "Amharic", "roman": "pəraym ḳuṭr", "sense": "natural number", "word": "ፕራይም ቁጥር" }, { "_dis1": "42 58", "code": "ar", "lang": "Arabic", "roman": "ʕadad ʔawwaliyy", "sense": "natural number", "tags": [ "masculine" ], "word": "عَدَد أَوَّلِيّ" }, { "_dis1": "42 58", "code": "hy", "lang": "Armenian", "roman": "parz tʻiv", "sense": "natural number", "word": "պարզ թիվ" }, { "_dis1": "42 58", "code": "az", "lang": "Azerbaijani", "sense": "natural number", "word": "sadə ədəd" }, { "_dis1": "42 58", "code": "az", "lang": "Azerbaijani", "sense": "natural number", "word": "əsli ədəd" }, { "_dis1": "42 58", "code": "eu", "lang": "Basque", "sense": "natural number", "word": "zenbaki lehen" }, { "_dis1": "42 58", "code": "be", "lang": "Belarusian", "roman": "prostý lik", "sense": "natural number", "tags": [ "masculine" ], "word": "просты́ лік" }, { "_dis1": "42 58", "code": "bn", "lang": "Bengali", "roman": "mōulik śoṅkha", "sense": "natural number", "word": "মৌলিক সংখ্যা" }, { "_dis1": "42 58", "code": "br", "lang": "Breton", "sense": "natural number", "word": "niveroù kentael" }, { "_dis1": "42 58", "code": "bg", "lang": "Bulgarian", "roman": "prostó čisló", "sense": "natural number", "tags": [ "neuter" ], "word": "просто́ число́" }, { "_dis1": "42 58", "code": "my", "lang": "Burmese", "roman": "sudda.kin:", "sense": "natural number", "word": "သုဒ္ဒကိန်း" }, { "_dis1": "42 58", "code": "ca", "lang": "Catalan", "sense": "natural number", "tags": [ "masculine" ], "word": "nombre primer" }, { "_dis1": "42 58", "code": "yue", "lang": "Chinese Cantonese", "roman": "zat¹ sou³", "sense": "natural number", "word": "質數 /质数" }, { "_dis1": "42 58", "code": "nan-hbl", "lang": "Chinese", "roman": "sò͘-sò͘", "sense": "natural number", "tags": [ "Hokkien" ], "word": "素數 /素数" }, { "_dis1": "42 58", "code": "nan-hbl", "lang": "Chinese", "roman": "chit-sò͘", "sense": "natural number", "tags": [ "Hokkien" ], "word": "質數 /质数" }, { "_dis1": "42 58", "code": "cmn", "lang": "Chinese Mandarin", "roman": "sùshù", "sense": "natural number", "word": "素數 /素数" }, { "_dis1": "42 58", "code": "cmn", "lang": "Chinese Mandarin", "roman": "zhìshù, zhíshù", "sense": "natural number", "word": "質數 /质数" }, { "_dis1": "42 58", "code": "co", "lang": "Corsican", "sense": "natural number", "word": "numeru primu" }, { "_dis1": "42 58", "code": "cs", "lang": "Czech", "sense": "natural number", "tags": [ "neuter" ], "word": "prvočíslo" }, { "_dis1": "42 58", "code": "da", "lang": "Danish", "sense": "natural number", "word": "primtal" }, { "_dis1": "42 58", "code": "nl", "lang": "Dutch", "sense": "natural number", "tags": [ "neuter" ], "word": "priemgetal" }, { "_dis1": "42 58", "code": "eo", "lang": "Esperanto", "sense": "natural number", "word": "primo" }, { "_dis1": "42 58", "code": "et", "lang": "Estonian", "sense": "natural number", "word": "algarv" }, { "_dis1": "42 58", "code": "fi", "lang": "Finnish", "sense": "natural number", "word": "alkuluku" }, { "_dis1": "42 58", "code": "fr", "lang": "French", "sense": "natural number", "tags": [ "masculine" ], "word": "nombre premier" }, { "_dis1": "42 58", "code": "gl", "lang": "Galician", "sense": "natural number", "tags": [ "masculine" ], "word": "número primo" }, { "_dis1": "42 58", "code": "ka", "lang": "Georgian", "roman": "marṭivi ricxvi", "sense": "natural number", "word": "მარტივი რიცხვი" }, { "_dis1": "42 58", "code": "de", "lang": "German", "sense": "natural number", "tags": [ "feminine" ], "word": "Primzahl" }, { "_dis1": "42 58", "code": "el", "lang": "Greek", "roman": "prótos arithmós", "sense": "natural number", "tags": [ "masculine" ], "word": "πρώτος αριθμός" }, { "_dis1": "42 58", "code": "ha", "lang": "Hausa", "sense": "natural number", "word": "firayim yawan" }, { "_dis1": "42 58", "code": "he", "lang": "Hebrew", "sense": "natural number", "tags": [ "masculine" ], "word": "מִסְפָּר רִאשׁוֹנִי" }, { "_dis1": "42 58", "code": "hi", "lang": "Hindi", "roman": "abhājya saṅkhyā", "sense": "natural number", "word": "अभाज्य संख्या" }, { "_dis1": "42 58", "code": "hu", "lang": "Hungarian", "sense": "natural number", "word": "prímszám" }, { "_dis1": "42 58", "code": "is", "lang": "Icelandic", "sense": "natural number", "tags": [ "feminine" ], "word": "frumtala" }, { "_dis1": "42 58", "code": "is", "lang": "Icelandic", "sense": "natural number", "tags": [ "feminine" ], "word": "prímtala" }, { "_dis1": "42 58", "code": "ig", "lang": "Igbo", "sense": "natural number", "word": "praịm nọmba" }, { "_dis1": "42 58", "code": "id", "lang": "Indonesian", "sense": "natural number", "word": "bilangan prima" }, { "_dis1": "42 58", "code": "ga", "lang": "Irish", "sense": "natural number", "tags": [ "feminine" ], "word": "uimhir phríomha" }, { "_dis1": "42 58", "code": "it", "lang": "Italian", "sense": "natural number", "tags": [ "masculine" ], "word": "numero primo" }, { "_dis1": "42 58", "alt": "そすう", "code": "ja", "lang": "Japanese", "roman": "sosū", "sense": "natural number", "word": "素数" }, { "_dis1": "42 58", "code": "jv", "lang": "Javanese", "sense": "natural number", "word": "wilangan prima" }, { "_dis1": "42 58", "code": "jv", "lang": "Javanese", "sense": "natural number", "word": "angka prima" }, { "_dis1": "42 58", "code": "kn", "lang": "Kannada", "roman": "avibhājya saṅkhye", "sense": "natural number", "word": "ಅವಿಭಾಜ್ಯ ಸಂಖ್ಯೆ" }, { "_dis1": "42 58", "code": "kk", "lang": "Kazakh", "roman": "jai san", "sense": "natural number", "word": "жай сан" }, { "_dis1": "42 58", "code": "km", "lang": "Khmer", "roman": "cɑmnuən paʼthɑm", "sense": "natural number", "word": "ចំនួនបឋម" }, { "_dis1": "42 58", "alt": "素數", "code": "ko", "lang": "Korean", "roman": "sosu", "sense": "natural number", "word": "소수" }, { "_dis1": "42 58", "code": "ko", "lang": "Korean", "roman": "ssisu", "sense": "natural number", "tags": [ "North-Korea" ], "word": "씨수" }, { "_dis1": "42 58", "code": "ky", "lang": "Kyrgyz", "roman": "jönököy san", "sense": "natural number", "word": "жөнөкөй сан" }, { "_dis1": "42 58", "code": "la", "lang": "Latin", "sense": "natural number", "tags": [ "masculine" ], "word": "numerus primus" }, { "_dis1": "42 58", "code": "lv", "lang": "Latvian", "sense": "natural number", "tags": [ "masculine" ], "word": "pirmskaitlis" }, { "_dis1": "42 58", "code": "lt", "lang": "Lithuanian", "sense": "natural number", "word": "pirminis skaičius" }, { "_dis1": "42 58", "code": "lmo", "lang": "Lombard", "sense": "natural number", "word": "nümar primm" }, { "_dis1": "42 58", "code": "nds", "lang": "Low German", "sense": "natural number", "word": "Primtall" }, { "_dis1": "42 58", "code": "lb", "lang": "Luxembourgish", "sense": "natural number", "word": "Primzuel" }, { "_dis1": "42 58", "code": "mk", "lang": "Macedonian", "roman": "prost broj", "sense": "natural number", "word": "прост број" }, { "_dis1": "42 58", "code": "ms", "lang": "Malay", "sense": "natural number", "word": "nombor perdana" }, { "_dis1": "42 58", "code": "ml", "lang": "Malayalam", "roman": "praiṁ nampaṟ", "sense": "natural number", "word": "പ്രൈം നമ്പർ" }, { "_dis1": "42 58", "code": "ml", "lang": "Malayalam", "roman": "abhājyasaṅkhya", "sense": "natural number", "word": "അഭാജ്യസംഖ്യ" }, { "_dis1": "42 58", "code": "mt", "lang": "Maltese", "sense": "natural number", "word": "numru prim" }, { "_dis1": "42 58", "code": "gv", "lang": "Manx", "sense": "natural number", "tags": [ "masculine" ], "word": "ard-earroo" }, { "_dis1": "42 58", "code": "mi", "lang": "Maori", "sense": "natural number", "word": "tau toitū" }, { "_dis1": "42 58", "code": "mn", "lang": "Mongolian", "roman": "anxny too", "sense": "natural number", "word": "анхны тоо" }, { "_dis1": "42 58", "code": "nb", "lang": "Norwegian Bokmål", "sense": "natural number", "tags": [ "neuter" ], "word": "primtall" }, { "_dis1": "42 58", "code": "nn", "lang": "Norwegian Nynorsk", "sense": "natural number", "tags": [ "neuter" ], "word": "primtal" }, { "_dis1": "42 58", "code": "fa", "lang": "Persian", "roman": "'adad avval", "sense": "natural number", "word": "عدد اول" }, { "_dis1": "42 58", "code": "pl", "lang": "Polish", "sense": "natural number", "tags": [ "feminine" ], "word": "liczba pierwsza" }, { "_dis1": "42 58", "code": "pt", "lang": "Portuguese", "sense": "natural number", "tags": [ "masculine" ], "word": "número primo" }, { "_dis1": "42 58", "code": "pa", "lang": "Punjabi", "roman": "prmukh saṅkhiā", "sense": "natural number", "word": "ਪ੍ਰਮੁਖ ਸੰਖਿਆ" }, { "_dis1": "42 58", "code": "ro", "lang": "Romanian", "sense": "natural number", "word": "număr prim" }, { "_dis1": "42 58", "code": "ru", "lang": "Russian", "roman": "prostóje čisló", "sense": "natural number", "tags": [ "neuter" ], "word": "просто́е число́" }, { "_dis1": "42 58", "code": "gd", "lang": "Scottish Gaelic", "sense": "natural number", "tags": [ "feminine" ], "word": "prìomh-àireamh" }, { "_dis1": "42 58", "code": "sh", "lang": "Serbo-Croatian", "sense": "natural number", "tags": [ "Cyrillic", "masculine" ], "word": "прости број" }, { "_dis1": "42 58", "code": "sh", "lang": "Serbo-Croatian", "sense": "natural number", "tags": [ "Cyrillic", "masculine" ], "word": "прост број" }, { "_dis1": "42 58", "code": "sh", "lang": "Serbo-Croatian", "sense": "natural number", "tags": [ "Roman", "masculine" ], "word": "prosti broj" }, { "_dis1": "42 58", "code": "sh", "lang": "Serbo-Croatian", "sense": "natural number", "tags": [ "Roman", "masculine" ], "word": "prost broj" }, { "_dis1": "42 58", "code": "scn", "lang": "Sicilian", "sense": "natural number", "tags": [ "masculine" ], "word": "nùmmuru primu" }, { "_dis1": "42 58", "code": "si", "lang": "Sinhalese", "roman": "prathamaka saṁkhyāwa", "sense": "natural number", "word": "ප්රථමක සංඛ්යාව" }, { "_dis1": "42 58", "code": "sk", "lang": "Slovak", "sense": "natural number", "tags": [ "neuter" ], "word": "prvočíslo" }, { "_dis1": "42 58", "code": "sl", "lang": "Slovene", "sense": "natural number", "tags": [ "neuter" ], "word": "praštevilo" }, { "_dis1": "42 58", "code": "alt", "lang": "Southern Altai", "roman": "tegin too", "sense": "natural number", "word": "тегин тоо" }, { "_dis1": "42 58", "code": "es", "lang": "Spanish", "sense": "natural number", "tags": [ "masculine" ], "word": "número primo" }, { "_dis1": "42 58", "code": "su", "lang": "Sundanese", "sense": "natural number", "word": "nomer perdana" }, { "_dis1": "42 58", "code": "su", "lang": "Sundanese", "sense": "natural number", "word": "jumlah perdana" }, { "_dis1": "42 58", "code": "sw", "lang": "Swahili", "sense": "natural number", "word": "nambari kuu" }, { "_dis1": "42 58", "code": "sw", "lang": "Swahili", "sense": "natural number", "word": "idadi mkuu" }, { "_dis1": "42 58", "code": "sv", "lang": "Swedish", "sense": "natural number", "tags": [ "neuter" ], "word": "primtal" }, { "_dis1": "42 58", "code": "tl", "lang": "Tagalog", "sense": "natural number", "word": "bilang na lantay" }, { "_dis1": "42 58", "code": "tl", "lang": "Tagalog", "sense": "natural number", "word": "bilang na balho" }, { "_dis1": "42 58", "code": "tg", "lang": "Tajik", "roman": "raqam-i sarvazir", "sense": "natural number", "word": "рақами сарвазир" }, { "_dis1": "42 58", "code": "tg", "lang": "Tajik", "roman": "šumora-yi sarvazir", "sense": "natural number", "word": "шумораи сарвазир" }, { "_dis1": "42 58", "code": "ta", "lang": "Tamil", "roman": "pakā eṇ", "sense": "natural number", "word": "பகா எண்" }, { "_dis1": "42 58", "code": "te", "lang": "Telugu", "roman": "pradhāna saṅkhya", "sense": "natural number", "word": "ప్రధాన సంఖ్య" }, { "_dis1": "42 58", "code": "th", "lang": "Thai", "roman": "jam-nuan chà-pór", "sense": "natural number", "word": "จำนวนเฉพาะ" }, { "_dis1": "42 58", "code": "tr", "lang": "Turkish", "sense": "natural number", "word": "asal sayı" }, { "_dis1": "42 58", "code": "uk", "lang": "Ukrainian", "roman": "prosté čysló", "sense": "natural number", "tags": [ "neuter" ], "word": "просте́ число́" }, { "_dis1": "42 58", "code": "ur", "lang": "Urdu", "sense": "natural number", "word": "مفرد عدد" }, { "_dis1": "42 58", "code": "ur", "lang": "Urdu", "sense": "natural number", "word": "ولی عدد" }, { "_dis1": "42 58", "code": "ug", "lang": "Uyghur", "roman": "tüp san", "sense": "natural number", "word": "تۈپ سان" }, { "_dis1": "42 58", "code": "vi", "lang": "Vietnamese", "sense": "natural number", "word": "số nguyên tố" }, { "_dis1": "42 58", "code": "cy", "lang": "Welsh", "sense": "natural number", "word": "rhif cysefin" }, { "_dis1": "42 58", "code": "xh", "lang": "Xhosa", "sense": "natural number", "word": "oyona nombolo yokuqala" }, { "_dis1": "42 58", "code": "xh", "lang": "Xhosa", "sense": "natural number", "word": "inombolo eyintloko" }, { "_dis1": "42 58", "code": "xh", "lang": "Xhosa", "sense": "natural number", "word": "inombolo eyinhloko" }, { "_dis1": "42 58", "code": "yi", "lang": "Yiddish", "roman": "primtsol", "sense": "natural number", "tags": [ "feminine" ], "word": "פּרימצאָל" }, { "_dis1": "42 58", "code": "yo", "lang": "Yoruba", "sense": "natural number", "word": "nọ́mbà àkọ́kọ́" }, { "_dis1": "42 58", "code": "zu", "lang": "Zulu", "sense": "natural number", "word": "inombolo esiyinhloko" } ] } ], "sounds": [ { "audio": "LL-Q1860 (eng)-PerfectSoundWhatever-prime number.wav", "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/6/64/LL-Q1860_%28eng%29-PerfectSoundWhatever-prime_number.wav/LL-Q1860_%28eng%29-PerfectSoundWhatever-prime_number.wav.mp3", "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/6/64/LL-Q1860_%28eng%29-PerfectSoundWhatever-prime_number.wav/LL-Q1860_%28eng%29-PerfectSoundWhatever-prime_number.wav.ogg" } ], "wikipedia": [ "prime number" ], "word": "prime number" }
{ "antonyms": [ { "sense": "antonym(s) of “natural number divisible only by itself and 1”", "word": "composite number" } ], "categories": [ "English countable nouns", "English entries with incorrect language header", "English lemmas", "English multiword terms", "English nouns", "English pleonastic compound nouns", "Entries with translation boxes", "Pages with 1 entry", "Pages with entries", "Terms with Afrikaans translations", "Terms with Albanian translations", "Terms with Amharic translations", "Terms with Arabic translations", "Terms with Armenian translations", "Terms with Azerbaijani translations", "Terms with Basque translations", "Terms with Belarusian translations", "Terms with Bengali translations", "Terms with Breton translations", "Terms with Bulgarian translations", "Terms with Burmese translations", "Terms with Cantonese translations", "Terms with Catalan translations", "Terms with Corsican translations", "Terms with Czech translations", "Terms with Danish translations", "Terms with Dutch translations", "Terms with Esperanto translations", "Terms with Estonian translations", "Terms with Finnish translations", "Terms with French translations", "Terms with Galician translations", "Terms with Georgian translations", "Terms with German translations", "Terms with Greek translations", "Terms with Hausa translations", "Terms with Hebrew translations", "Terms with Hindi translations", "Terms with Hokkien translations", "Terms with Hungarian translations", "Terms with Icelandic translations", "Terms with Igbo translations", "Terms with Indonesian translations", "Terms with Irish translations", "Terms with Italian translations", "Terms with Japanese translations", "Terms with Javanese translations", "Terms with Kannada translations", "Terms with Kazakh translations", "Terms with Khmer translations", "Terms with Korean translations", "Terms with Kyrgyz translations", "Terms with Latin translations", "Terms with Latvian translations", "Terms with Lithuanian translations", "Terms with Lombard translations", "Terms with Low German translations", "Terms with Luxembourgish translations", "Terms with Macedonian translations", "Terms with Malay translations", "Terms with Malayalam translations", "Terms with Maltese translations", "Terms with Mandarin translations", "Terms with Manx translations", "Terms with Maori translations", "Terms with Mongolian translations", "Terms with Norwegian Bokmål translations", "Terms with Norwegian Nynorsk translations", "Terms with Persian translations", "Terms with Polish translations", "Terms with Portuguese translations", "Terms with Punjabi translations", "Terms with Romanian translations", "Terms with Russian translations", "Terms with Scottish Gaelic translations", "Terms with Serbo-Croatian translations", "Terms with Sicilian translations", "Terms with Sinhalese translations", "Terms with Slovak translations", "Terms with Slovene translations", "Terms with Southern Altai translations", "Terms with Spanish translations", "Terms with Sundanese translations", "Terms with Swahili translations", "Terms with Swedish translations", "Terms with Tagalog translations", "Terms with Tajik translations", "Terms with Tamil translations", "Terms with Telugu translations", "Terms with Thai translations", "Terms with Turkish translations", "Terms with Ukrainian translations", "Terms with Urdu translations", "Terms with Uyghur translations", "Terms with Vietnamese translations", "Terms with Welsh translations", "Terms with Xhosa translations", "Terms with Yiddish translations", "Terms with Yoruba translations", "Terms with Zulu translations", "en:Numbers" ], "derived": [ { "word": "prime constellation" }, { "word": "prime factor" }, { "word": "prime factorization" }, { "word": "prime number theorem" } ], "forms": [ { "form": "prime numbers", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "prime number (plural prime numbers)", "name": "en-noun" } ], "hypernyms": [ { "word": "integer" }, { "word": "natural number" }, { "word": "number" } ], "hyponyms": [ { "word": "additive prime number" }, { "word": "annihilating prime number" }, { "word": "Bell number prime number" }, { "word": "Carol prime number" }, { "word": "Catalan prime number" }, { "word": "centered decagonal prime number" }, { "word": "centered heptagonal prime number" }, { "word": "centered square prime number" }, { "word": "centered triangular prime number" }, { "word": "Chen prime number" }, { "word": "circular prime number" }, { "word": "cousin prime number" }, { "word": "Cuban prime number" }, { "word": "Cullen prime number" }, { "word": "Delannoy number prime number" }, { "word": "deletable prime number" }, { "word": "dihedral prime number" }, { "word": "double factorial prime number" }, { "word": "double Mersenne prime number" }, { "word": "Eisenstein prime number without imaginary part" }, { "word": "emirp" }, { "word": "Euclid-Mullin Sequence prime number" }, { "word": "Euclid prime number" }, { "word": "Euler irregular prime number" }, { "word": "even prime number" }, { "word": "factorial prime number" }, { "word": "Fermat prime number" }, { "word": "Fibonacci prime number" }, { "word": "fortunate prime number" }, { "word": "Gaussian prime number" }, { "word": "generalized Fermat prime number base 10" }, { "word": "Genocchi number prime number" }, { "word": "Gilda's prime number" }, { "word": "good prime number" }, { "word": "happy prime number" }, { "word": "harmonic prime number" }, { "word": "Higgs prime number for squares" }, { "word": "highly cototient number prime number" }, { "word": "irregular prime number" }, { "word": "isolated prime number" }, { "word": "Kynea prime number" }, { "word": "left-truncatable prime number" }, { "word": "Leyland prime number" }, { "word": "long prime number" }, { "word": "Lucas prime number" }, { "word": "lucky prime number" }, { "word": "Markov prime number" }, { "word": "Mersenne prime number" }, { "word": "Mills prime number" }, { "word": "minimal prime number" }, { "word": "Motzkin prime number" }, { "word": "Newman–Shanks–Williams prime number" }, { "word": "non-generous prime number" }, { "word": "odd prime number" }, { "word": "Padovan prime number" }, { "word": "palindromic prime number" }, { "word": "palindromic wing prime number" }, { "word": "partition prime number" }, { "word": "Pell prime number" }, { "word": "permutable prime number" }, { "word": "Perrin prime number" }, { "word": "Pierpont prime number" }, { "word": "Pillai prime number" }, { "word": "prime number of Binary Quadratic Form" }, { "word": "primeval prime number" }, { "word": "primorial prime number" }, { "word": "Proth prime number" }, { "word": "Pythagorean prime number" }, { "word": "Quartan prime number" }, { "word": "Ramanujan prime number" }, { "word": "regular prime number" }, { "word": "repunit prime number" }, { "word": "right-truncatable prime number" }, { "word": "safe prime number" }, { "word": "Schröder-Hipparchus number prime number" }, { "word": "Schröder prime number" }, { "word": "self prime number" }, { "word": "sexy prime number" }, { "word": "Smarandache-Wellin prime number" }, { "word": "Smarandache–Wellin prime number" }, { "word": "Solinas prime number" }, { "word": "Sophie Germain prime number" }, { "word": "star prime number" }, { "word": "Stern prime number" }, { "word": "super-prime number" }, { "word": "supersingular prime number" }, { "word": "swinging prime number" }, { "word": "Thabit number prime number" }, { "word": "twin prime number" }, { "word": "two-sided prime number" }, { "word": "Ulam number prime number" }, { "word": "unique prime number" }, { "word": "Wagstaff prime number" }, { "word": "Wall–Sun–Sun prime number" }, { "word": "Weakly prime numbers" }, { "word": "Wedderburn-Etherington number prime number" }, { "word": "Wieferich prime number" }, { "word": "Wilson prime number" }, { "word": "Wolstenholme prime number" }, { "word": "Woodall prime number" } ], "lang": "English", "lang_code": "en", "pos": "noun", "related": [ { "word": "primality" }, { "word": "divisor" }, { "word": "factor" } ], "senses": [ { "categories": [ "English terms with quotations", "English terms with usage examples", "en:Number theory" ], "examples": [ { "text": "The fundamental theorem of arithmetic states that every natural number greater than 1 can be factorized into prime numbers in a way that is unique up to the order in which the factors are written.", "type": "example" }, { "text": "2007, James Alfred Walker, Julian Francis Miller, Predicting Prime Numbers Using Cartesian Genetic Programming, Marc Ebner, Michael O'Neill, Anikó Ekárt, Anna Isabel Esparcia-Alcázar, Leonardo Vanneschi (editors), Genetic Programming: 10th European Conference, EuroGP 2007, Proceedings, Springer, LNCS 4445, page 215,\nAs the evolved solution for the first 16 prime numbers was capable of accepting inputs up to 31, we decided to extend the experiment to see how the solution generalised on 15 previously unseen inputs (just as we did with the integer-based approach). From the 15 unseen inputs, 7 of the predicted 15 outputs were prime numbers, which is just below 50%, indicating that the solution had learned something about \"primeness\" or favoured prime numbers." }, { "ref": "2010, Colin Foster, Resources for Teaching Mathematics: 14-16, Continuum International Publishing Group, page 168:", "text": "The most common definition of a prime number used in school seems to be 'an integer whose only factors are one and itself', which unfortunately leaves open the question of whether one is itself a prime number. Until the nineteenth century, most mathematicians regarded one as a prime number – Henri Lebesgue (1875–1941) is often said to be the last professional mathematician to call one prime – so it is a little unfair to regard learners as silly for thinking this today, or for questioning why we do not now regard one as a prime number – it is still a good question.", "type": "quote" }, { "ref": "2013 July-August, Sarah Glaz, “Ode to Prime Numbers”, in American Scientist, volume 101, number 4:", "text": "Some poems, echoing the purpose of early poetic treatises on scientific principles, attempt to elucidate the mathematical concepts that underlie prime numbers. Others play with primes’ cultural associations. Still others derive their structure from mathematical patterns involving primes.", "type": "quote" } ], "glosses": [ "Any natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers." ], "links": [ [ "number theory", "number theory" ], [ "natural number", "natural number" ], [ "multiply", "multiply" ] ], "raw_glosses": [ "(number theory) Any natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers." ], "topics": [ "mathematics", "number-theory", "sciences" ] }, { "categories": [ "English terms with obsolete senses", "en:Number theory" ], "glosses": [ "Any natural number (including 1) that is divisible only by itself and 1." ], "links": [ [ "number theory", "number theory" ], [ "natural number", "natural number" ], [ "divisible", "divisible" ] ], "raw_glosses": [ "(obsolete, number theory) Any natural number (including 1) that is divisible only by itself and 1." ], "tags": [ "obsolete" ], "topics": [ "mathematics", "number-theory", "sciences" ] } ], "sounds": [ { "audio": "LL-Q1860 (eng)-PerfectSoundWhatever-prime number.wav", "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/6/64/LL-Q1860_%28eng%29-PerfectSoundWhatever-prime_number.wav/LL-Q1860_%28eng%29-PerfectSoundWhatever-prime_number.wav.mp3", "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/6/64/LL-Q1860_%28eng%29-PerfectSoundWhatever-prime_number.wav/LL-Q1860_%28eng%29-PerfectSoundWhatever-prime_number.wav.ogg" } ], "synonyms": [ { "sense": "natural number >1 divisible only by itself and 1", "word": "prime" } ], "translations": [ { "code": "af", "lang": "Afrikaans", "sense": "natural number", "word": "priemgetal" }, { "code": "sq", "lang": "Albanian", "sense": "natural number", "word": "numri kryesor" }, { "code": "am", "lang": "Amharic", "roman": "pəraym ḳuṭr", "sense": "natural number", "word": "ፕራይም ቁጥር" }, { "code": "ar", "lang": "Arabic", "roman": "ʕadad ʔawwaliyy", "sense": "natural number", "tags": [ "masculine" ], "word": "عَدَد أَوَّلِيّ" }, { "code": "hy", "lang": "Armenian", "roman": "parz tʻiv", "sense": "natural number", "word": "պարզ թիվ" }, { "code": "az", "lang": "Azerbaijani", "sense": "natural number", "word": "sadə ədəd" }, { "code": "az", "lang": "Azerbaijani", "sense": "natural number", "word": "əsli ədəd" }, { "code": "eu", "lang": "Basque", "sense": "natural number", "word": "zenbaki lehen" }, { "code": "be", "lang": "Belarusian", "roman": "prostý lik", "sense": "natural number", "tags": [ "masculine" ], "word": "просты́ лік" }, { "code": "bn", "lang": "Bengali", "roman": "mōulik śoṅkha", "sense": "natural number", "word": "মৌলিক সংখ্যা" }, { "code": "br", "lang": "Breton", "sense": "natural number", "word": "niveroù kentael" }, { "code": "bg", "lang": "Bulgarian", "roman": "prostó čisló", "sense": "natural number", "tags": [ "neuter" ], "word": "просто́ число́" }, { "code": "my", "lang": "Burmese", "roman": "sudda.kin:", "sense": "natural number", "word": "သုဒ္ဒကိန်း" }, { "code": "ca", "lang": "Catalan", "sense": "natural number", "tags": [ "masculine" ], "word": "nombre primer" }, { "code": "yue", "lang": "Chinese Cantonese", "roman": "zat¹ sou³", "sense": "natural number", "word": "質數 /质数" }, { "code": "nan-hbl", "lang": "Chinese", "roman": "sò͘-sò͘", "sense": "natural number", "tags": [ "Hokkien" ], "word": "素數 /素数" }, { "code": "nan-hbl", "lang": "Chinese", "roman": "chit-sò͘", "sense": "natural number", "tags": [ "Hokkien" ], "word": "質數 /质数" }, { "code": "cmn", "lang": "Chinese Mandarin", "roman": "sùshù", "sense": "natural number", "word": "素數 /素数" }, { "code": "cmn", "lang": "Chinese Mandarin", "roman": "zhìshù, zhíshù", "sense": "natural number", "word": "質數 /质数" }, { "code": "co", "lang": "Corsican", "sense": "natural number", "word": "numeru primu" }, { "code": "cs", "lang": "Czech", "sense": "natural number", "tags": [ "neuter" ], "word": "prvočíslo" }, { "code": "da", "lang": "Danish", "sense": "natural number", "word": "primtal" }, { "code": "nl", "lang": "Dutch", "sense": "natural number", "tags": [ "neuter" ], "word": "priemgetal" }, { "code": "eo", "lang": "Esperanto", "sense": "natural number", "word": "primo" }, { "code": "et", "lang": "Estonian", "sense": "natural number", "word": "algarv" }, { "code": "fi", "lang": "Finnish", "sense": "natural number", "word": "alkuluku" }, { "code": "fr", "lang": "French", "sense": "natural number", "tags": [ "masculine" ], "word": "nombre premier" }, { "code": "gl", "lang": "Galician", "sense": "natural number", "tags": [ "masculine" ], "word": "número primo" }, { "code": "ka", "lang": "Georgian", "roman": "marṭivi ricxvi", "sense": "natural number", "word": "მარტივი რიცხვი" }, { "code": "de", "lang": "German", "sense": "natural number", "tags": [ "feminine" ], "word": "Primzahl" }, { "code": "el", "lang": "Greek", "roman": "prótos arithmós", "sense": "natural number", "tags": [ "masculine" ], "word": "πρώτος αριθμός" }, { "code": "ha", "lang": "Hausa", "sense": "natural number", "word": "firayim yawan" }, { "code": "he", "lang": "Hebrew", "sense": "natural number", "tags": [ "masculine" ], "word": "מִסְפָּר רִאשׁוֹנִי" }, { "code": "hi", "lang": "Hindi", "roman": "abhājya saṅkhyā", "sense": "natural number", "word": "अभाज्य संख्या" }, { "code": "hu", "lang": "Hungarian", "sense": "natural number", "word": "prímszám" }, { "code": "is", "lang": "Icelandic", "sense": "natural number", "tags": [ "feminine" ], "word": "frumtala" }, { "code": "is", "lang": "Icelandic", "sense": "natural number", "tags": [ "feminine" ], "word": "prímtala" }, { "code": "ig", "lang": "Igbo", "sense": "natural number", "word": "praịm nọmba" }, { "code": "id", "lang": "Indonesian", "sense": "natural number", "word": "bilangan prima" }, { "code": "ga", "lang": "Irish", "sense": "natural number", "tags": [ "feminine" ], "word": "uimhir phríomha" }, { "code": "it", "lang": "Italian", "sense": "natural number", "tags": [ "masculine" ], "word": "numero primo" }, { "alt": "そすう", "code": "ja", "lang": "Japanese", "roman": "sosū", "sense": "natural number", "word": "素数" }, { "code": "jv", "lang": "Javanese", "sense": "natural number", "word": "wilangan prima" }, { "code": "jv", "lang": "Javanese", "sense": "natural number", "word": "angka prima" }, { "code": "kn", "lang": "Kannada", "roman": "avibhājya saṅkhye", "sense": "natural number", "word": "ಅವಿಭಾಜ್ಯ ಸಂಖ್ಯೆ" }, { "code": "kk", "lang": "Kazakh", "roman": "jai san", "sense": "natural number", "word": "жай сан" }, { "code": "km", "lang": "Khmer", "roman": "cɑmnuən paʼthɑm", "sense": "natural number", "word": "ចំនួនបឋម" }, { "alt": "素數", "code": "ko", "lang": "Korean", "roman": "sosu", "sense": "natural number", "word": "소수" }, { "code": "ko", "lang": "Korean", "roman": "ssisu", "sense": "natural number", "tags": [ "North-Korea" ], "word": "씨수" }, { "code": "ky", "lang": "Kyrgyz", "roman": "jönököy san", "sense": "natural number", "word": "жөнөкөй сан" }, { "code": "la", "lang": "Latin", "sense": "natural number", "tags": [ "masculine" ], "word": "numerus primus" }, { "code": "lv", "lang": "Latvian", "sense": "natural number", "tags": [ "masculine" ], "word": "pirmskaitlis" }, { "code": "lt", "lang": "Lithuanian", "sense": "natural number", "word": "pirminis skaičius" }, { "code": "lmo", "lang": "Lombard", "sense": "natural number", "word": "nümar primm" }, { "code": "nds", "lang": "Low German", "sense": "natural number", "word": "Primtall" }, { "code": "lb", "lang": "Luxembourgish", "sense": "natural number", "word": "Primzuel" }, { "code": "mk", "lang": "Macedonian", "roman": "prost broj", "sense": "natural number", "word": "прост број" }, { "code": "ms", "lang": "Malay", "sense": "natural number", "word": "nombor perdana" }, { "code": "ml", "lang": "Malayalam", "roman": "praiṁ nampaṟ", "sense": "natural number", "word": "പ്രൈം നമ്പർ" }, { "code": "ml", "lang": "Malayalam", "roman": "abhājyasaṅkhya", "sense": "natural number", "word": "അഭാജ്യസംഖ്യ" }, { "code": "mt", "lang": "Maltese", "sense": "natural number", "word": "numru prim" }, { "code": "gv", "lang": "Manx", "sense": "natural number", "tags": [ "masculine" ], "word": "ard-earroo" }, { "code": "mi", "lang": "Maori", "sense": "natural number", "word": "tau toitū" }, { "code": "mn", "lang": "Mongolian", "roman": "anxny too", "sense": "natural number", "word": "анхны тоо" }, { "code": "nb", "lang": "Norwegian Bokmål", "sense": "natural number", "tags": [ "neuter" ], "word": "primtall" }, { "code": "nn", "lang": "Norwegian Nynorsk", "sense": "natural number", "tags": [ "neuter" ], "word": "primtal" }, { "code": "fa", "lang": "Persian", "roman": "'adad avval", "sense": "natural number", "word": "عدد اول" }, { "code": "pl", "lang": "Polish", "sense": "natural number", "tags": [ "feminine" ], "word": "liczba pierwsza" }, { "code": "pt", "lang": "Portuguese", "sense": "natural number", "tags": [ "masculine" ], "word": "número primo" }, { "code": "pa", "lang": "Punjabi", "roman": "prmukh saṅkhiā", "sense": "natural number", "word": "ਪ੍ਰਮੁਖ ਸੰਖਿਆ" }, { "code": "ro", "lang": "Romanian", "sense": "natural number", "word": "număr prim" }, { "code": "ru", "lang": "Russian", "roman": "prostóje čisló", "sense": "natural number", "tags": [ "neuter" ], "word": "просто́е число́" }, { "code": "gd", "lang": "Scottish Gaelic", "sense": "natural number", "tags": [ "feminine" ], "word": "prìomh-àireamh" }, { "code": "sh", "lang": "Serbo-Croatian", "sense": "natural number", "tags": [ "Cyrillic", "masculine" ], "word": "прости број" }, { "code": "sh", "lang": "Serbo-Croatian", "sense": "natural number", "tags": [ "Cyrillic", "masculine" ], "word": "прост број" }, { "code": "sh", "lang": "Serbo-Croatian", "sense": "natural number", "tags": [ "Roman", "masculine" ], "word": "prosti broj" }, { "code": "sh", "lang": "Serbo-Croatian", "sense": "natural number", "tags": [ "Roman", "masculine" ], "word": "prost broj" }, { "code": "scn", "lang": "Sicilian", "sense": "natural number", "tags": [ "masculine" ], "word": "nùmmuru primu" }, { "code": "si", "lang": "Sinhalese", "roman": "prathamaka saṁkhyāwa", "sense": "natural number", "word": "ප්රථමක සංඛ්යාව" }, { "code": "sk", "lang": "Slovak", "sense": "natural number", "tags": [ "neuter" ], "word": "prvočíslo" }, { "code": "sl", "lang": "Slovene", "sense": "natural number", "tags": [ "neuter" ], "word": "praštevilo" }, { "code": "alt", "lang": "Southern Altai", "roman": "tegin too", "sense": "natural number", "word": "тегин тоо" }, { "code": "es", "lang": "Spanish", "sense": "natural number", "tags": [ "masculine" ], "word": "número primo" }, { "code": "su", "lang": "Sundanese", "sense": "natural number", "word": "nomer perdana" }, { "code": "su", "lang": "Sundanese", "sense": "natural number", "word": "jumlah perdana" }, { "code": "sw", "lang": "Swahili", "sense": "natural number", "word": "nambari kuu" }, { "code": "sw", "lang": "Swahili", "sense": "natural number", "word": "idadi mkuu" }, { "code": "sv", "lang": "Swedish", "sense": "natural number", "tags": [ "neuter" ], "word": "primtal" }, { "code": "tl", "lang": "Tagalog", "sense": "natural number", "word": "bilang na lantay" }, { "code": "tl", "lang": "Tagalog", "sense": "natural number", "word": "bilang na balho" }, { "code": "tg", "lang": "Tajik", "roman": "raqam-i sarvazir", "sense": "natural number", "word": "рақами сарвазир" }, { "code": "tg", "lang": "Tajik", "roman": "šumora-yi sarvazir", "sense": "natural number", "word": "шумораи сарвазир" }, { "code": "ta", "lang": "Tamil", "roman": "pakā eṇ", "sense": "natural number", "word": "பகா எண்" }, { "code": "te", "lang": "Telugu", "roman": "pradhāna saṅkhya", "sense": "natural number", "word": "ప్రధాన సంఖ్య" }, { "code": "th", "lang": "Thai", "roman": "jam-nuan chà-pór", "sense": "natural number", "word": "จำนวนเฉพาะ" }, { "code": "tr", "lang": "Turkish", "sense": "natural number", "word": "asal sayı" }, { "code": "uk", "lang": "Ukrainian", "roman": "prosté čysló", "sense": "natural number", "tags": [ "neuter" ], "word": "просте́ число́" }, { "code": "ur", "lang": "Urdu", "sense": "natural number", "word": "مفرد عدد" }, { "code": "ur", "lang": "Urdu", "sense": "natural number", "word": "ولی عدد" }, { "code": "ug", "lang": "Uyghur", "roman": "tüp san", "sense": "natural number", "word": "تۈپ سان" }, { "code": "vi", "lang": "Vietnamese", "sense": "natural number", "word": "số nguyên tố" }, { "code": "cy", "lang": "Welsh", "sense": "natural number", "word": "rhif cysefin" }, { "code": "xh", "lang": "Xhosa", "sense": "natural number", "word": "oyona nombolo yokuqala" }, { "code": "xh", "lang": "Xhosa", "sense": "natural number", "word": "inombolo eyintloko" }, { "code": "xh", "lang": "Xhosa", "sense": "natural number", "word": "inombolo eyinhloko" }, { "code": "yi", "lang": "Yiddish", "roman": "primtsol", "sense": "natural number", "tags": [ "feminine" ], "word": "פּרימצאָל" }, { "code": "yo", "lang": "Yoruba", "sense": "natural number", "word": "nọ́mbà àkọ́kọ́" }, { "code": "zu", "lang": "Zulu", "sense": "natural number", "word": "inombolo esiyinhloko" } ], "wikipedia": [ "prime number" ], "word": "prime number" }
Download raw JSONL data for prime number meaning in English (23.0kB)
{ "called_from": "form_descriptions/1089", "msg": "suspicious unhandled suffix in English: 'generalized Fermat prime number base 10', originally 'generalized Fermat prime number base 10'", "path": [ "prime number" ], "section": "English", "subsection": "noun", "title": "prime number", "trace": "" } { "called_from": "wiktionary/179/20240425uppercase_tags", "msg": "prime number/English/noun: invalid uppercase tag North-Korea not in or uppercase_tags: {\"antonyms\": [{\"sense\": \"antonym(s) of “natural number divisible only by itself and 1”\", \"word\": \"composite number\"}], \"categories\": [\"English countable nouns\", \"English entries with incorrect language header\", \"English lemmas\", \"English multiword terms\", \"English nouns\", \"English pleonastic compound nouns\", \"Entries with translation boxes\", \"Pages with 1 entry\", \"Pages with entries\", \"Terms with Afrikaans translations\", \"Terms with Albanian translations\", \"Terms with Amharic translations\", \"Terms with Arabic translations\", \"Terms with Armenian translations\", \"Terms with Azerbaijani translations\", \"Terms with Basque translations\", \"Terms with Belarusian translations\", \"Terms with Bengali translations\", \"Terms with Breton translations\", \"Terms with Bulgarian translations\", \"Terms with Burmese translations\", \"Terms with Cantonese translations\", \"Terms with Catalan translations\", \"Terms with Corsican translations\", \"Terms with Czech translations\", \"Terms with Danish translations\", \"Terms with Dutch translations\", \"Terms with Esperanto translations\", \"Terms with Estonian translations\", \"Terms with Finnish translations\", \"Terms with French translations\", \"Terms with Galician translations\", \"Terms with Georgian translations\", \"Terms with German translations\", \"Terms with Greek translations\", \"Terms with Hausa translations\", \"Terms with Hebrew translations\", \"Terms with Hindi translations\", \"Terms with Hokkien translations\", \"Terms with Hungarian translations\", \"Terms with Icelandic translations\", \"Terms with Igbo translations\", \"Terms with Indonesian translations\", \"Terms with Irish translations\", \"Terms with Italian translations\", \"Terms with Japanese translations\", \"Terms with Javanese translations\", \"Terms with Kannada translations\", \"Terms with Kazakh translations\", \"Terms with Khmer translations\", \"Terms with Korean translations\", \"Terms with Kyrgyz translations\", \"Terms with Latin translations\", \"Terms with Latvian translations\", \"Terms with Lithuanian translations\", \"Terms with Lombard translations\", \"Terms with Low German translations\", \"Terms with Luxembourgish translations\", \"Terms with Macedonian translations\", \"Terms with Malay translations\", \"Terms with Malayalam translations\", \"Terms with Maltese translations\", \"Terms with Mandarin translations\", \"Terms with Manx translations\", \"Terms with Maori translations\", \"Terms with Mongolian translations\", \"Terms with Norwegian Bokmål translations\", \"Terms with Norwegian Nynorsk translations\", \"Terms with Persian translations\", \"Terms with Polish translations\", \"Terms with Portuguese translations\", \"Terms with Punjabi translations\", \"Terms with Romanian translations\", \"Terms with Russian translations\", \"Terms with Scottish Gaelic translations\", \"Terms with Serbo-Croatian translations\", \"Terms with Sicilian translations\", \"Terms with Sinhalese translations\", \"Terms with Slovak translations\", \"Terms with Slovene translations\", \"Terms with Southern Altai translations\", \"Terms with Spanish translations\", \"Terms with Sundanese translations\", \"Terms with Swahili translations\", \"Terms with Swedish translations\", \"Terms with Tagalog translations\", \"Terms with Tajik translations\", \"Terms with Tamil translations\", \"Terms with Telugu translations\", \"Terms with Thai translations\", \"Terms with Turkish translations\", \"Terms with Ukrainian translations\", \"Terms with Urdu translations\", \"Terms with Uyghur translations\", \"Terms with Vietnamese translations\", \"Terms with Welsh translations\", \"Terms with Xhosa translations\", \"Terms with Yiddish translations\", \"Terms with Yoruba translations\", \"Terms with Zulu translations\", \"en:Numbers\"], \"derived\": [{\"word\": \"prime constellation\"}, {\"word\": \"prime factor\"}, {\"word\": \"prime factorization\"}, {\"word\": \"prime number theorem\"}], \"forms\": [{\"form\": \"prime numbers\", \"tags\": [\"plural\"]}], \"head_templates\": [{\"args\": {}, \"expansion\": \"prime number (plural prime numbers)\", \"name\": \"en-noun\"}], \"hypernyms\": [{\"word\": \"integer\"}, {\"word\": \"natural number\"}, {\"word\": \"number\"}], \"hyponyms\": [{\"word\": \"additive prime number\"}, {\"word\": \"annihilating prime number\"}, {\"word\": \"Bell number prime number\"}, {\"word\": \"Carol prime number\"}, {\"word\": \"Catalan prime number\"}, {\"word\": \"centered decagonal prime number\"}, {\"word\": \"centered heptagonal prime number\"}, {\"word\": \"centered square prime number\"}, {\"word\": \"centered triangular prime number\"}, {\"word\": \"Chen prime number\"}, {\"word\": \"circular prime number\"}, {\"word\": \"cousin prime number\"}, {\"word\": \"Cuban prime number\"}, {\"word\": \"Cullen prime number\"}, {\"word\": \"Delannoy number prime number\"}, {\"word\": \"deletable prime number\"}, {\"word\": \"dihedral prime number\"}, {\"word\": \"double factorial prime number\"}, {\"word\": \"double Mersenne prime number\"}, {\"word\": \"Eisenstein prime number without imaginary part\"}, {\"word\": \"emirp\"}, {\"word\": \"Euclid-Mullin Sequence prime number\"}, {\"word\": \"Euclid prime number\"}, {\"word\": \"Euler irregular prime number\"}, {\"word\": \"even prime number\"}, {\"word\": \"factorial prime number\"}, {\"word\": \"Fermat prime number\"}, {\"word\": \"Fibonacci prime number\"}, {\"word\": \"fortunate prime number\"}, {\"word\": \"Gaussian prime number\"}, {\"word\": \"generalized Fermat prime number base 10\"}, {\"word\": \"Genocchi number prime number\"}, {\"word\": \"Gilda's prime number\"}, {\"word\": \"good prime number\"}, {\"word\": \"happy prime number\"}, {\"word\": \"harmonic prime number\"}, {\"word\": \"Higgs prime number for squares\"}, {\"word\": \"highly cototient number prime number\"}, {\"word\": \"irregular prime number\"}, {\"word\": \"isolated prime number\"}, {\"word\": \"Kynea prime number\"}, {\"word\": \"left-truncatable prime number\"}, {\"word\": \"Leyland prime number\"}, {\"word\": \"long prime number\"}, {\"word\": \"Lucas prime number\"}, {\"word\": \"lucky prime number\"}, {\"word\": \"Markov prime number\"}, {\"word\": \"Mersenne prime number\"}, {\"word\": \"Mills prime number\"}, {\"word\": \"minimal prime number\"}, {\"word\": \"Motzkin prime number\"}, {\"word\": \"Newman–Shanks–Williams prime number\"}, {\"word\": \"non-generous prime number\"}, {\"word\": \"odd prime number\"}, {\"word\": \"Padovan prime number\"}, {\"word\": \"palindromic prime number\"}, {\"word\": \"palindromic wing prime number\"}, {\"word\": \"partition prime number\"}, {\"word\": \"Pell prime number\"}, {\"word\": \"permutable prime number\"}, {\"word\": \"Perrin prime number\"}, {\"word\": \"Pierpont prime number\"}, {\"word\": \"Pillai prime number\"}, {\"word\": \"prime number of Binary Quadratic Form\"}, {\"word\": \"primeval prime number\"}, {\"word\": \"primorial prime number\"}, {\"word\": \"Proth prime number\"}, {\"word\": \"Pythagorean prime number\"}, {\"word\": \"Quartan prime number\"}, {\"word\": \"Ramanujan prime number\"}, {\"word\": \"regular prime number\"}, {\"word\": \"repunit prime number\"}, {\"word\": \"right-truncatable prime number\"}, {\"word\": \"safe prime number\"}, {\"word\": \"Schröder-Hipparchus number prime number\"}, {\"word\": \"Schröder prime number\"}, {\"word\": \"self prime number\"}, {\"word\": \"sexy prime number\"}, {\"word\": \"Smarandache-Wellin prime number\"}, {\"word\": \"Smarandache–Wellin prime number\"}, {\"word\": \"Solinas prime number\"}, {\"word\": \"Sophie Germain prime number\"}, {\"word\": \"star prime number\"}, {\"word\": \"Stern prime number\"}, {\"word\": \"super-prime number\"}, {\"word\": \"supersingular prime number\"}, {\"word\": \"swinging prime number\"}, {\"word\": \"Thabit number prime number\"}, {\"word\": \"twin prime number\"}, {\"word\": \"two-sided prime number\"}, {\"word\": \"Ulam number prime number\"}, {\"word\": \"unique prime number\"}, {\"word\": \"Wagstaff prime number\"}, {\"word\": \"Wall–Sun–Sun prime number\"}, {\"word\": \"Weakly prime numbers\"}, {\"word\": \"Wedderburn-Etherington number prime number\"}, {\"word\": \"Wieferich prime number\"}, {\"word\": \"Wilson prime number\"}, {\"word\": \"Wolstenholme prime number\"}, {\"word\": \"Woodall prime number\"}], \"lang\": \"English\", \"lang_code\": \"en\", \"pos\": \"noun\", \"related\": [{\"word\": \"primality\"}, {\"word\": \"divisor\"}, {\"word\": \"factor\"}], \"senses\": [{\"categories\": [\"English terms with quotations\", \"English terms with usage examples\", \"en:Number theory\"], \"examples\": [{\"text\": \"The fundamental theorem of arithmetic states that every natural number greater than 1 can be factorized into prime numbers in a way that is unique up to the order in which the factors are written.\", \"type\": \"example\"}, {\"text\": \"2007, James Alfred Walker, Julian Francis Miller, Predicting Prime Numbers Using Cartesian Genetic Programming, Marc Ebner, Michael O'Neill, Anikó Ekárt, Anna Isabel Esparcia-Alcázar, Leonardo Vanneschi (editors), Genetic Programming: 10th European Conference, EuroGP 2007, Proceedings, Springer, LNCS 4445, page 215,\\nAs the evolved solution for the first 16 prime numbers was capable of accepting inputs up to 31, we decided to extend the experiment to see how the solution generalised on 15 previously unseen inputs (just as we did with the integer-based approach). From the 15 unseen inputs, 7 of the predicted 15 outputs were prime numbers, which is just below 50%, indicating that the solution had learned something about \\\"primeness\\\" or favoured prime numbers.\"}, {\"ref\": \"2010, Colin Foster, Resources for Teaching Mathematics: 14-16, Continuum International Publishing Group, page 168:\", \"text\": \"The most common definition of a prime number used in school seems to be 'an integer whose only factors are one and itself', which unfortunately leaves open the question of whether one is itself a prime number. Until the nineteenth century, most mathematicians regarded one as a prime number – Henri Lebesgue (1875–1941) is often said to be the last professional mathematician to call one prime – so it is a little unfair to regard learners as silly for thinking this today, or for questioning why we do not now regard one as a prime number – it is still a good question.\", \"type\": \"quote\"}, {\"ref\": \"2013 July-August, Sarah Glaz, “Ode to Prime Numbers”, in American Scientist, volume 101, number 4:\", \"text\": \"Some poems, echoing the purpose of early poetic treatises on scientific principles, attempt to elucidate the mathematical concepts that underlie prime numbers. Others play with primes’ cultural associations. Still others derive their structure from mathematical patterns involving primes.\", \"type\": \"quote\"}], \"glosses\": [\"Any natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.\"], \"links\": [[\"number theory\", \"number theory\"], [\"natural number\", \"natural number\"], [\"multiply\", \"multiply\"]], \"raw_glosses\": [\"(number theory) Any natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.\"], \"topics\": [\"mathematics\", \"number-theory\", \"sciences\"]}, {\"categories\": [\"English terms with obsolete senses\", \"en:Number theory\"], \"glosses\": [\"Any natural number (including 1) that is divisible only by itself and 1.\"], \"links\": [[\"number theory\", \"number theory\"], [\"natural number\", \"natural number\"], [\"divisible\", \"divisible\"]], \"raw_glosses\": [\"(obsolete, number theory) Any natural number (including 1) that is divisible only by itself and 1.\"], \"tags\": [\"obsolete\"], \"topics\": [\"mathematics\", \"number-theory\", \"sciences\"]}], \"sounds\": [{\"audio\": \"LL-Q1860 (eng)-PerfectSoundWhatever-prime number.wav\", \"mp3_url\": \"https://upload.wikimedia.org/wikipedia/commons/transcoded/6/64/LL-Q1860_%28eng%29-PerfectSoundWhatever-prime_number.wav/LL-Q1860_%28eng%29-PerfectSoundWhatever-prime_number.wav.mp3\", \"ogg_url\": \"https://upload.wikimedia.org/wikipedia/commons/transcoded/6/64/LL-Q1860_%28eng%29-PerfectSoundWhatever-prime_number.wav/LL-Q1860_%28eng%29-PerfectSoundWhatever-prime_number.wav.ogg\"}], \"synonyms\": [{\"sense\": \"natural number >1 divisible only by itself and 1\", \"word\": \"prime\"}], \"translations\": [{\"code\": \"af\", \"lang\": \"Afrikaans\", \"sense\": \"natural number\", \"word\": \"priemgetal\"}, {\"code\": \"sq\", \"lang\": \"Albanian\", \"sense\": \"natural number\", \"word\": \"numri kryesor\"}, {\"code\": \"am\", \"lang\": \"Amharic\", \"roman\": \"pəraym ḳuṭr\", \"sense\": \"natural number\", \"word\": \"ፕራይም ቁጥር\"}, {\"code\": \"ar\", \"lang\": \"Arabic\", \"roman\": \"ʕadad ʔawwaliyy\", \"sense\": \"natural number\", \"tags\": [\"masculine\"], \"word\": \"عَدَد أَوَّلِيّ\"}, {\"code\": \"hy\", \"lang\": \"Armenian\", \"roman\": \"parz tʻiv\", \"sense\": \"natural number\", \"word\": \"պարզ թիվ\"}, {\"code\": \"az\", \"lang\": \"Azerbaijani\", \"sense\": \"natural number\", \"word\": \"sadə ədəd\"}, {\"code\": \"az\", \"lang\": \"Azerbaijani\", \"sense\": \"natural number\", \"word\": \"əsli ədəd\"}, {\"code\": \"eu\", \"lang\": \"Basque\", \"sense\": \"natural number\", \"word\": \"zenbaki lehen\"}, {\"code\": \"be\", \"lang\": \"Belarusian\", \"roman\": \"prostý lik\", \"sense\": \"natural number\", \"tags\": [\"masculine\"], \"word\": \"просты́ лік\"}, {\"code\": \"bn\", \"lang\": \"Bengali\", \"roman\": \"mōulik śoṅkha\", \"sense\": \"natural number\", \"word\": \"মৌলিক সংখ্যা\"}, {\"code\": \"br\", \"lang\": \"Breton\", \"sense\": \"natural number\", \"word\": \"niveroù kentael\"}, {\"code\": \"bg\", \"lang\": \"Bulgarian\", \"roman\": \"prostó čisló\", \"sense\": \"natural number\", \"tags\": [\"neuter\"], \"word\": \"просто́ число́\"}, {\"code\": \"my\", \"lang\": \"Burmese\", \"roman\": \"sudda.kin:\", \"sense\": \"natural number\", \"word\": \"သုဒ္ဒကိန်း\"}, {\"code\": \"ca\", \"lang\": \"Catalan\", \"sense\": \"natural number\", \"tags\": [\"masculine\"], \"word\": \"nombre primer\"}, {\"code\": \"yue\", \"lang\": \"Chinese Cantonese\", \"roman\": \"zat¹ sou³\", \"sense\": \"natural number\", \"word\": \"質數 /质数\"}, {\"code\": \"nan-hbl\", \"lang\": \"Chinese\", \"roman\": \"sò͘-sò͘\", \"sense\": \"natural number\", \"tags\": [\"Hokkien\"], \"word\": \"素數 /素数\"}, {\"code\": \"nan-hbl\", \"lang\": \"Chinese\", \"roman\": \"chit-sò͘\", \"sense\": \"natural number\", \"tags\": [\"Hokkien\"], \"word\": \"質數 /质数\"}, {\"code\": \"cmn\", \"lang\": \"Chinese Mandarin\", \"roman\": \"sùshù\", \"sense\": \"natural number\", \"word\": \"素數 /素数\"}, {\"code\": \"cmn\", \"lang\": \"Chinese Mandarin\", \"roman\": \"zhìshù, zhíshù\", \"sense\": \"natural number\", \"word\": \"質數 /质数\"}, {\"code\": \"co\", \"lang\": \"Corsican\", \"sense\": \"natural number\", \"word\": \"numeru primu\"}, {\"code\": \"cs\", \"lang\": \"Czech\", \"sense\": \"natural number\", \"tags\": [\"neuter\"], \"word\": \"prvočíslo\"}, {\"code\": \"da\", \"lang\": \"Danish\", \"sense\": \"natural number\", \"word\": \"primtal\"}, {\"code\": \"nl\", \"lang\": \"Dutch\", \"sense\": \"natural number\", \"tags\": [\"neuter\"], \"word\": \"priemgetal\"}, {\"code\": \"eo\", \"lang\": \"Esperanto\", \"sense\": \"natural number\", \"word\": \"primo\"}, {\"code\": \"et\", \"lang\": \"Estonian\", \"sense\": \"natural number\", \"word\": \"algarv\"}, {\"code\": \"fi\", \"lang\": \"Finnish\", \"sense\": \"natural number\", \"word\": \"alkuluku\"}, {\"code\": \"fr\", \"lang\": \"French\", \"sense\": \"natural number\", \"tags\": [\"masculine\"], \"word\": \"nombre premier\"}, {\"code\": \"gl\", \"lang\": \"Galician\", \"sense\": \"natural number\", \"tags\": [\"masculine\"], \"word\": \"número primo\"}, {\"code\": \"ka\", \"lang\": \"Georgian\", \"roman\": \"marṭivi ricxvi\", \"sense\": \"natural number\", \"word\": \"მარტივი რიცხვი\"}, {\"code\": \"de\", \"lang\": \"German\", \"sense\": \"natural number\", \"tags\": [\"feminine\"], \"word\": \"Primzahl\"}, {\"code\": \"el\", \"lang\": \"Greek\", \"roman\": \"prótos arithmós\", \"sense\": \"natural number\", \"tags\": [\"masculine\"], \"word\": \"πρώτος αριθμός\"}, {\"code\": \"ha\", \"lang\": \"Hausa\", \"sense\": \"natural number\", \"word\": \"firayim yawan\"}, {\"code\": \"he\", \"lang\": \"Hebrew\", \"sense\": \"natural number\", \"tags\": [\"masculine\"], \"word\": \"מִסְפָּר רִאשׁוֹנִי\"}, {\"code\": \"hi\", \"lang\": \"Hindi\", \"roman\": \"abhājya saṅkhyā\", \"sense\": \"natural number\", \"word\": \"अभाज्य संख्या\"}, {\"code\": \"hu\", \"lang\": \"Hungarian\", \"sense\": \"natural number\", \"word\": \"prímszám\"}, {\"code\": \"is\", \"lang\": \"Icelandic\", \"sense\": \"natural number\", \"tags\": [\"feminine\"], \"word\": \"frumtala\"}, {\"code\": \"is\", \"lang\": \"Icelandic\", \"sense\": \"natural number\", \"tags\": [\"feminine\"], \"word\": \"prímtala\"}, {\"code\": \"ig\", \"lang\": \"Igbo\", \"sense\": \"natural number\", \"word\": \"praịm nọmba\"}, {\"code\": \"id\", \"lang\": \"Indonesian\", \"sense\": \"natural number\", \"word\": \"bilangan prima\"}, {\"code\": \"ga\", \"lang\": \"Irish\", \"sense\": \"natural number\", \"tags\": [\"feminine\"], \"word\": \"uimhir phríomha\"}, {\"code\": \"it\", \"lang\": \"Italian\", \"sense\": \"natural number\", \"tags\": [\"masculine\"], \"word\": \"numero primo\"}, {\"alt\": \"そすう\", \"code\": \"ja\", \"lang\": \"Japanese\", \"roman\": \"sosū\", \"sense\": \"natural number\", \"word\": \"素数\"}, {\"code\": \"jv\", \"lang\": \"Javanese\", \"sense\": \"natural number\", \"word\": \"wilangan prima\"}, {\"code\": \"jv\", \"lang\": \"Javanese\", \"sense\": \"natural number\", \"word\": \"angka prima\"}, {\"code\": \"kn\", \"lang\": \"Kannada\", \"roman\": \"avibhājya saṅkhye\", \"sense\": \"natural number\", \"word\": \"ಅವಿಭಾಜ್ಯ ಸಂಖ್ಯೆ\"}, {\"code\": \"kk\", \"lang\": \"Kazakh\", \"roman\": \"jai san\", \"sense\": \"natural number\", \"word\": \"жай сан\"}, {\"code\": \"km\", \"lang\": \"Khmer\", \"roman\": \"cɑmnuən paʼthɑm\", \"sense\": \"natural number\", \"word\": \"ចំនួនបឋម\"}, {\"alt\": \"素數\", \"code\": \"ko\", \"lang\": \"Korean\", \"roman\": \"sosu\", \"sense\": \"natural number\", \"word\": \"소수\"}, {\"code\": \"ko\", \"lang\": \"Korean\", \"roman\": \"ssisu\", \"sense\": \"natural number\", \"tags\": [\"North-Korea\"], \"word\": \"씨수\"}, {\"code\": \"ky\", \"lang\": \"Kyrgyz\", \"roman\": \"jönököy san\", \"sense\": \"natural number\", \"word\": \"жөнөкөй сан\"}, {\"code\": \"la\", \"lang\": \"Latin\", \"sense\": \"natural number\", \"tags\": [\"masculine\"], \"word\": \"numerus primus\"}, {\"code\": \"lv\", \"lang\": \"Latvian\", \"sense\": \"natural number\", \"tags\": [\"masculine\"], \"word\": \"pirmskaitlis\"}, {\"code\": \"lt\", \"lang\": \"Lithuanian\", \"sense\": \"natural number\", \"word\": \"pirminis skaičius\"}, {\"code\": \"lmo\", \"lang\": \"Lombard\", \"sense\": \"natural number\", \"word\": \"nümar primm\"}, {\"code\": \"nds\", \"lang\": \"Low German\", \"sense\": \"natural number\", \"word\": \"Primtall\"}, {\"code\": \"lb\", \"lang\": \"Luxembourgish\", \"sense\": \"natural number\", \"word\": \"Primzuel\"}, {\"code\": \"mk\", \"lang\": \"Macedonian\", \"roman\": \"prost broj\", \"sense\": \"natural number\", \"word\": \"прост број\"}, {\"code\": \"ms\", \"lang\": \"Malay\", \"sense\": \"natural number\", \"word\": \"nombor perdana\"}, {\"code\": \"ml\", \"lang\": \"Malayalam\", \"roman\": \"praiṁ nampaṟ\", \"sense\": \"natural number\", \"word\": \"പ്രൈം നമ്പർ\"}, {\"code\": \"ml\", \"lang\": \"Malayalam\", \"roman\": \"abhājyasaṅkhya\", \"sense\": \"natural number\", \"word\": \"അഭാജ്യസംഖ്യ\"}, {\"code\": \"mt\", \"lang\": \"Maltese\", \"sense\": \"natural number\", \"word\": \"numru prim\"}, {\"code\": \"gv\", \"lang\": \"Manx\", \"sense\": \"natural number\", \"tags\": [\"masculine\"], \"word\": \"ard-earroo\"}, {\"code\": \"mi\", \"lang\": \"Maori\", \"sense\": \"natural number\", \"word\": \"tau toitū\"}, {\"code\": \"mn\", \"lang\": \"Mongolian\", \"roman\": \"anxny too\", \"sense\": \"natural number\", \"word\": \"анхны тоо\"}, {\"code\": \"nb\", \"lang\": \"Norwegian Bokmål\", \"sense\": \"natural number\", \"tags\": [\"neuter\"], \"word\": \"primtall\"}, {\"code\": \"nn\", \"lang\": \"Norwegian Nynorsk\", \"sense\": \"natural number\", \"tags\": [\"neuter\"], \"word\": \"primtal\"}, {\"code\": \"fa\", \"lang\": \"Persian\", \"roman\": \"'adad avval\", \"sense\": \"natural number\", \"word\": \"عدد اول\"}, {\"code\": \"pl\", \"lang\": \"Polish\", \"sense\": \"natural number\", \"tags\": [\"feminine\"], \"word\": \"liczba pierwsza\"}, {\"code\": \"pt\", \"lang\": \"Portuguese\", \"sense\": \"natural number\", \"tags\": [\"masculine\"], \"word\": \"número primo\"}, {\"code\": \"pa\", \"lang\": \"Punjabi\", \"roman\": \"prmukh saṅkhiā\", \"sense\": \"natural number\", \"word\": \"ਪ੍ਰਮੁਖ ਸੰਖਿਆ\"}, {\"code\": \"ro\", \"lang\": \"Romanian\", \"sense\": \"natural number\", \"word\": \"număr prim\"}, {\"code\": \"ru\", \"lang\": \"Russian\", \"roman\": \"prostóje čisló\", \"sense\": \"natural number\", \"tags\": [\"neuter\"], \"word\": \"просто́е число́\"}, {\"code\": \"gd\", \"lang\": \"Scottish Gaelic\", \"sense\": \"natural number\", \"tags\": [\"feminine\"], \"word\": \"prìomh-àireamh\"}, {\"code\": \"sh\", \"lang\": \"Serbo-Croatian\", \"sense\": \"natural number\", \"tags\": [\"Cyrillic\", \"masculine\"], \"word\": \"прости број\"}, {\"code\": \"sh\", \"lang\": \"Serbo-Croatian\", \"sense\": \"natural number\", \"tags\": [\"Cyrillic\", \"masculine\"], \"word\": \"прост број\"}, {\"code\": \"sh\", \"lang\": \"Serbo-Croatian\", \"sense\": \"natural number\", \"tags\": [\"Roman\", \"masculine\"], \"word\": \"prosti broj\"}, {\"code\": \"sh\", \"lang\": \"Serbo-Croatian\", \"sense\": \"natural number\", \"tags\": [\"Roman\", \"masculine\"], \"word\": \"prost broj\"}, {\"code\": \"scn\", \"lang\": \"Sicilian\", \"sense\": \"natural number\", \"tags\": [\"masculine\"], \"word\": \"nùmmuru primu\"}, {\"code\": \"si\", \"lang\": \"Sinhalese\", \"roman\": \"prathamaka saṁkhyāwa\", \"sense\": \"natural number\", \"word\": \"ප්රථමක සංඛ්යාව\"}, {\"code\": \"sk\", \"lang\": \"Slovak\", \"sense\": \"natural number\", \"tags\": [\"neuter\"], \"word\": \"prvočíslo\"}, {\"code\": \"sl\", \"lang\": \"Slovene\", \"sense\": \"natural number\", \"tags\": [\"neuter\"], \"word\": \"praštevilo\"}, {\"code\": \"alt\", \"lang\": \"Southern Altai\", \"roman\": \"tegin too\", \"sense\": \"natural number\", \"word\": \"тегин тоо\"}, {\"code\": \"es\", \"lang\": \"Spanish\", \"sense\": \"natural number\", \"tags\": [\"masculine\"], \"word\": \"número primo\"}, {\"code\": \"su\", \"lang\": \"Sundanese\", \"sense\": \"natural number\", \"word\": \"nomer perdana\"}, {\"code\": \"su\", \"lang\": \"Sundanese\", \"sense\": \"natural number\", \"word\": \"jumlah perdana\"}, {\"code\": \"sw\", \"lang\": \"Swahili\", \"sense\": \"natural number\", \"word\": \"nambari kuu\"}, {\"code\": \"sw\", \"lang\": \"Swahili\", \"sense\": \"natural number\", \"word\": \"idadi mkuu\"}, {\"code\": \"sv\", \"lang\": \"Swedish\", \"sense\": \"natural number\", \"tags\": [\"neuter\"], \"word\": \"primtal\"}, {\"code\": \"tl\", \"lang\": \"Tagalog\", \"sense\": \"natural number\", \"word\": \"bilang na lantay\"}, {\"code\": \"tl\", \"lang\": \"Tagalog\", \"sense\": \"natural number\", \"word\": \"bilang na balho\"}, {\"code\": \"tg\", \"lang\": \"Tajik\", \"roman\": \"raqam-i sarvazir\", \"sense\": \"natural number\", \"word\": \"рақами сарвазир\"}, {\"code\": \"tg\", \"lang\": \"Tajik\", \"roman\": \"šumora-yi sarvazir\", \"sense\": \"natural number\", \"word\": \"шумораи сарвазир\"}, {\"code\": \"ta\", \"lang\": \"Tamil\", \"roman\": \"pakā eṇ\", \"sense\": \"natural number\", \"word\": \"பகா எண்\"}, {\"code\": \"te\", \"lang\": \"Telugu\", \"roman\": \"pradhāna saṅkhya\", \"sense\": \"natural number\", \"word\": \"ప్రధాన సంఖ్య\"}, {\"code\": \"th\", \"lang\": \"Thai\", \"roman\": \"jam-nuan chà-pór\", \"sense\": \"natural number\", \"word\": \"จำนวนเฉพาะ\"}, {\"code\": \"tr\", \"lang\": \"Turkish\", \"sense\": \"natural number\", \"word\": \"asal sayı\"}, {\"code\": \"uk\", \"lang\": \"Ukrainian\", \"roman\": \"prosté čysló\", \"sense\": \"natural number\", \"tags\": [\"neuter\"], \"word\": \"просте́ число́\"}, {\"code\": \"ur\", \"lang\": \"Urdu\", \"sense\": \"natural number\", \"word\": \"مفرد عدد\"}, {\"code\": \"ur\", \"lang\": \"Urdu\", \"sense\": \"natural number\", \"word\": \"ولی عدد\"}, {\"code\": \"ug\", \"lang\": \"Uyghur\", \"roman\": \"tüp san\", \"sense\": \"natural number\", \"word\": \"تۈپ سان\"}, {\"code\": \"vi\", \"lang\": \"Vietnamese\", \"sense\": \"natural number\", \"word\": \"số nguyên tố\"}, {\"code\": \"cy\", \"lang\": \"Welsh\", \"sense\": \"natural number\", \"word\": \"rhif cysefin\"}, {\"code\": \"xh\", \"lang\": \"Xhosa\", \"sense\": \"natural number\", \"word\": \"oyona nombolo yokuqala\"}, {\"code\": \"xh\", \"lang\": \"Xhosa\", \"sense\": \"natural number\", \"word\": \"inombolo eyintloko\"}, {\"code\": \"xh\", \"lang\": \"Xhosa\", \"sense\": \"natural number\", \"word\": \"inombolo eyinhloko\"}, {\"code\": \"yi\", \"lang\": \"Yiddish\", \"roman\": \"primtsol\", \"sense\": \"natural number\", \"tags\": [\"feminine\"], \"word\": \"פּרימצאָל\"}, {\"code\": \"yo\", \"lang\": \"Yoruba\", \"sense\": \"natural number\", \"word\": \"nọ́mbà àkọ́kọ́\"}, {\"code\": \"zu\", \"lang\": \"Zulu\", \"sense\": \"natural number\", \"word\": \"inombolo esiyinhloko\"}], \"wikipedia\": [\"prime number\"], \"word\": \"prime number\"}", "path": [], "section": "English", "subsection": "noun", "title": "prime number", "trace": "" }
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-01-08 from the enwiktionary dump dated 2025-01-01 using wiktextract (9a96ef4 and 4ed51a5). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.