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"
}
Download raw JSONL data for semiprime meaning in All languages combined (6.0kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). 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.