See semiprime on Wiktionary
{ "etymology_templates": [ { "args": { "1": "en", "2": "semi", "3": "prime" }, "expansion": "semi- + prime", "name": "prefix" } ], "etymology_text": "From semi- + prime.", "forms": [ { "form": "semiprimes", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "semiprime (plural semiprimes)", "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": "38 62", "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w+disamb" }, { "_dis": "40 60", "kind": "other", "name": "English terms prefixed with semi-", "parents": [], "source": "w+disamb" }, { "_dis": "36 64", "kind": "other", "name": "Entries with translation boxes", "parents": [], "source": "w+disamb" }, { "_dis": "38 62", "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w+disamb" }, { "_dis": "35 65", "kind": "other", "name": "Pages with entries", "parents": [], "source": "w+disamb" }, { "_dis": "35 65", "kind": "other", "name": "Terms with Finnish translations", "parents": [], "source": "w+disamb" }, { "_dis": "33 67", "kind": "other", "name": "Terms with German translations", "parents": [], "source": "w+disamb" }, { "_dis": "33 67", "kind": "other", "name": "Terms with Italian translations", "parents": [], "source": "w+disamb" }, { "_dis": "36 64", "kind": "other", "name": "Terms with Polish translations", "parents": [], "source": "w+disamb" }, { "_dis": "32 68", "kind": "other", "name": "Terms with Spanish translations", "parents": [], "source": "w+disamb" } ], "derived": [ { "word": "discrete semiprime" }, { "word": "distinct semiprime" } ], "examples": [ { "ref": "2010, Jason Earls, The Lowbrow Experimental Mathematician, Lulu.com, page 145:", "text": "Again, to be perfectly clear, we are looking for c values that produce a low density of semiprimes when employing Euler's basic polynomial but changing the c values, in the range of x=1 to 10000. Some very early standouts are: c=4 which produces 799 semiprimes; c=6 which produces 532 semiprimes; c=12 which produces only 431 semiprimes; c=18 which produces 364 semiprimes, and c=30 which produces only 320 semiprimes.", "type": "quote" }, { "text": "2015, Jie Wang, Zachary A. Kissel, Introduction to Network Security: Theory and Practice, Wiley [under licence from Higher Education Press], page 113,\nFirstly, we should change semiprimes from time to time, where a particular semiprime should only be used in a time interval shorter than the time required to factor an RSA challenge number of a similar length. Secondly, we should use semiprimes that consist of more than 200 decimal digits." }, { "ref": "2015, Marius Coman, Two Hundred and Thirteen Conjectures on Primes: Collected Papers, Education Publishing, page 46:", "text": "In this paper I will define four sequences of numbers obtained through concatenation, definitions which also use the notion of “sum of the digits of a number”, sequences that have the property to produce many primes, semiprimes and products of very few prime factors.", "type": "quote" } ], "glosses": [ "A natural number that is the product of two (not necessarily distinct) prime numbers." ], "id": "en-semiprime-en-noun-Lmvvl5Rk", "links": [ [ "number theory", "number theory" ], [ "natural number", "natural number" ], [ "product", "product" ], [ "prime number", "prime number" ] ], "raw_glosses": [ "(number theory) A natural number that is the product of two (not necessarily distinct) prime numbers." ], "synonyms": [ { "sense": "product of two primes, not necessarily distinct", "word": "biprime" } ], "topics": [ "mathematics", "number-theory", "sciences" ], "translations": [ { "code": "fi", "lang": "Finnish", "sense": "number that is the product of two primes", "word": "puolialkuluku" }, { "code": "de", "lang": "German", "sense": "number that is the product of two primes", "tags": [ "feminine" ], "word": "Semiprimzahl" }, { "code": "it", "lang": "Italian", "sense": "number that is the product of two primes", "tags": [ "masculine" ], "word": "numero semiprimo" }, { "code": "it", "lang": "Italian", "sense": "number that is the product of two primes", "tags": [ "masculine" ], "word": "semiprimo" }, { "code": "pl", "lang": "Polish", "sense": "number that is the product of two primes", "tags": [ "feminine" ], "word": "liczba półpierwsza" }, { "code": "es", "lang": "Spanish", "sense": "number that is the product of two primes", "tags": [ "masculine" ], "word": "semiprimo" }, { "code": "es", "lang": "Spanish", "sense": "number that is the product of two primes", "tags": [ "masculine" ], "word": "biprimo" } ] } ], "wikipedia": [ "semiprime" ], "word": "semiprime" } { "etymology_templates": [ { "args": { "1": "en", "2": "semi", "3": "prime" }, "expansion": "semi- + prime", "name": "prefix" } ], "etymology_text": "From semi- + prime.", "head_templates": [ { "args": { "1": "-" }, "expansion": "semiprime (not comparable)", "name": "en-adj" } ], "lang": "English", "lang_code": "en", "pos": "adj", "senses": [ { "categories": [ { "kind": "topical", "langcode": "en", "name": "Mathematics", "orig": "en:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "examples": [ { "ref": "1974, Thomas W. Hungerford, Algebra, Springer, page 446:", "text": "The final part of the semiprime-semisimple analogy is given by\nProposition 4.4. A ring #x5C;mathbf#x7B;R#x7D; is semiprime if and only if #x5C;mathbf#x7B;R#x7D; is isomorphic to a subdirect product of prime rings.", "type": "quote" }, { "ref": "1982, K. A. Zhevlakov, A. M. Slin'ko, I. P. Shestakov, A. I. Shirshov, translated by Harry F. Smith, Rings That Are Nearly Associative, Academic Press, page 176:", "text": "In this chapter we shall study the structure of semiprime alternative algebras.", "type": "quote" }, { "ref": "2003, John N. Mordeson, Davender S. Malik, Nobuaki Kuroki, Fuzzy Semigroups, Springer, page 213:", "text": "Let f be a semiprime fuzzy ideal of S and x#x5C;inS.", "type": "quote" } ], "glosses": [ "That has properties derived directly or by extension from a semiprime." ], "id": "en-semiprime-en-adj-YVhdX4vp", "links": [ [ "mathematics", "mathematics" ] ], "raw_glosses": [ "(mathematics) That has properties derived directly or by extension from a semiprime." ], "tags": [ "not-comparable" ], "topics": [ "mathematics", "sciences" ], "translations": [ { "code": "it", "lang": "Italian", "sense": "Translations", "word": "semiprimo" } ] } ], "wikipedia": [ "semiprime" ], "word": "semiprime" }
{ "categories": [ "English adjectives", "English countable nouns", "English entries with incorrect language header", "English lemmas", "English nouns", "English terms prefixed with semi-", "English uncomparable adjectives", "Entries with translation boxes", "Pages with 1 entry", "Pages with entries", "Terms with Finnish translations", "Terms with German translations", "Terms with Italian translations", "Terms with Polish translations", "Terms with Spanish translations", "Translation table header lacks gloss" ], "derived": [ { "word": "discrete semiprime" }, { "word": "distinct semiprime" } ], "etymology_templates": [ { "args": { "1": "en", "2": "semi", "3": "prime" }, "expansion": "semi- + prime", "name": "prefix" } ], "etymology_text": "From semi- + prime.", "forms": [ { "form": "semiprimes", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "semiprime (plural semiprimes)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ "English terms with quotations", "en:Number theory" ], "examples": [ { "ref": "2010, Jason Earls, The Lowbrow Experimental Mathematician, Lulu.com, page 145:", "text": "Again, to be perfectly clear, we are looking for c values that produce a low density of semiprimes when employing Euler's basic polynomial but changing the c values, in the range of x=1 to 10000. Some very early standouts are: c=4 which produces 799 semiprimes; c=6 which produces 532 semiprimes; c=12 which produces only 431 semiprimes; c=18 which produces 364 semiprimes, and c=30 which produces only 320 semiprimes.", "type": "quote" }, { "text": "2015, Jie Wang, Zachary A. Kissel, Introduction to Network Security: Theory and Practice, Wiley [under licence from Higher Education Press], page 113,\nFirstly, we should change semiprimes from time to time, where a particular semiprime should only be used in a time interval shorter than the time required to factor an RSA challenge number of a similar length. Secondly, we should use semiprimes that consist of more than 200 decimal digits." }, { "ref": "2015, Marius Coman, Two Hundred and Thirteen Conjectures on Primes: Collected Papers, Education Publishing, page 46:", "text": "In this paper I will define four sequences of numbers obtained through concatenation, definitions which also use the notion of “sum of the digits of a number”, sequences that have the property to produce many primes, semiprimes and products of very few prime factors.", "type": "quote" } ], "glosses": [ "A natural number that is the product of two (not necessarily distinct) prime numbers." ], "links": [ [ "number theory", "number theory" ], [ "natural number", "natural number" ], [ "product", "product" ], [ "prime number", "prime number" ] ], "raw_glosses": [ "(number theory) A natural number that is the product of two (not necessarily distinct) prime numbers." ], "topics": [ "mathematics", "number-theory", "sciences" ] } ], "synonyms": [ { "sense": "product of two primes, not necessarily distinct", "word": "biprime" } ], "translations": [ { "code": "fi", "lang": "Finnish", "sense": "number that is the product of two primes", "word": "puolialkuluku" }, { "code": "de", "lang": "German", "sense": "number that is the product of two primes", "tags": [ "feminine" ], "word": "Semiprimzahl" }, { "code": "it", "lang": "Italian", "sense": "number that is the product of two primes", "tags": [ "masculine" ], "word": "numero semiprimo" }, { "code": "it", "lang": "Italian", "sense": "number that is the product of two primes", "tags": [ "masculine" ], "word": "semiprimo" }, { "code": "pl", "lang": "Polish", "sense": "number that is the product of two primes", "tags": [ "feminine" ], "word": "liczba półpierwsza" }, { "code": "es", "lang": "Spanish", "sense": "number that is the product of two primes", "tags": [ "masculine" ], "word": "semiprimo" }, { "code": "es", "lang": "Spanish", "sense": "number that is the product of two primes", "tags": [ "masculine" ], "word": "biprimo" } ], "wikipedia": [ "semiprime" ], "word": "semiprime" } { "categories": [ "English adjectives", "English countable nouns", "English entries with incorrect language header", "English lemmas", "English nouns", "English terms prefixed with semi-", "English uncomparable adjectives", "Entries with translation boxes", "Pages with 1 entry", "Pages with entries", "Terms with Finnish translations", "Terms with German translations", "Terms with Italian translations", "Terms with Polish translations", "Terms with Spanish translations", "Translation table header lacks gloss" ], "etymology_templates": [ { "args": { "1": "en", "2": "semi", "3": "prime" }, "expansion": "semi- + prime", "name": "prefix" } ], "etymology_text": "From semi- + prime.", "head_templates": [ { "args": { "1": "-" }, "expansion": "semiprime (not comparable)", "name": "en-adj" } ], "lang": "English", "lang_code": "en", "pos": "adj", "senses": [ { "categories": [ "English terms with quotations", "en:Mathematics" ], "examples": [ { "ref": "1974, Thomas W. Hungerford, Algebra, Springer, page 446:", "text": "The final part of the semiprime-semisimple analogy is given by\nProposition 4.4. A ring #x5C;mathbf#x7B;R#x7D; is semiprime if and only if #x5C;mathbf#x7B;R#x7D; is isomorphic to a subdirect product of prime rings.", "type": "quote" }, { "ref": "1982, K. A. Zhevlakov, A. M. Slin'ko, I. P. Shestakov, A. I. Shirshov, translated by Harry F. Smith, Rings That Are Nearly Associative, Academic Press, page 176:", "text": "In this chapter we shall study the structure of semiprime alternative algebras.", "type": "quote" }, { "ref": "2003, John N. Mordeson, Davender S. Malik, Nobuaki Kuroki, Fuzzy Semigroups, Springer, page 213:", "text": "Let f be a semiprime fuzzy ideal of S and x#x5C;inS.", "type": "quote" } ], "glosses": [ "That has properties derived directly or by extension from a semiprime." ], "links": [ [ "mathematics", "mathematics" ] ], "raw_glosses": [ "(mathematics) That has properties derived directly or by extension from a semiprime." ], "tags": [ "not-comparable" ], "topics": [ "mathematics", "sciences" ] } ], "translations": [ { "code": "it", "lang": "Italian", "sense": "Translations", "word": "semiprimo" } ], "wikipedia": [ "semiprime" ], "word": "semiprime" }
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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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.
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