See coprime on Wiktionary
Download JSON data for coprime meaning in All languages combined (9.3kB)
{
"etymology_templates": [
{
"args": {
"1": "en",
"2": "co",
"3": "prime"
},
"expansion": "co- + prime",
"name": "prefix"
}
],
"etymology_text": "co- + prime",
"head_templates": [
{
"args": {
"1": "-"
},
"expansion": "coprime (not comparable)",
"name": "en-adj"
}
],
"lang": "English",
"lang_code": "en",
"pos": "adj",
"related": [
{
"_dis1": "0 0 0 0",
"word": "coprimality"
},
{
"_dis1": "0 0 0 0",
"word": "coprimeness"
},
{
"_dis1": "0 0 0 0",
"word": "greatest common divisor"
}
],
"senses": [
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Number theory",
"orig": "en:Number theory",
"parents": [
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"_dis": "24 29 36 12",
"kind": "other",
"name": "English terms prefixed with co-",
"parents": [],
"source": "w+disamb"
}
],
"examples": [
{
"text": "24 and 35 are coprime.",
"type": "example"
}
],
"glosses": [
"Having no positive integer factors in common, aside from 1."
],
"id": "en-coprime-en-adj-v2I1KdER",
"links": [
[
"number theory",
"number theory"
],
[
"no",
"no"
],
[
"factor",
"factor"
],
[
"in common",
"in common"
],
[
"1",
"1"
]
],
"raw_glosses": [
"(number theory, of two or more positive integers) Having no positive integer factors in common, aside from 1."
],
"raw_tags": [
"of two or more positive integers"
],
"synonyms": [
{
"_dis1": "58 38 4 0",
"sense": "having no factors in common",
"word": "relatively prime"
},
{
"_dis1": "55 41 3 1",
"sense": "having no factors in common with",
"word": "relatively prime"
}
],
"tags": [
"not-comparable"
],
"topics": [
"mathematics",
"number-theory",
"sciences"
],
"translations": [
{
"_dis1": "49 36 3 11",
"code": "bg",
"lang": "Bulgarian",
"roman": "vzaimno prosti",
"sense": "(of two or more positive integers) having no factors in common",
"tags": [
"plural"
],
"word": "взаимно прости"
},
{
"_dis1": "49 36 3 11",
"code": "yue",
"lang": "Chinese Cantonese",
"roman": "wu⁶ sou³",
"sense": "(of two or more positive integers) having no factors in common",
"word": "互素"
},
{
"_dis1": "49 36 3 11",
"code": "cmn",
"lang": "Chinese Mandarin",
"sense": "(of two or more positive integers) having no factors in common",
"word": "互質"
},
{
"_dis1": "49 36 3 11",
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "hùzhì, hùzhí",
"sense": "(of two or more positive integers) having no factors in common",
"word": "互质"
},
{
"_dis1": "49 36 3 11",
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "hùsù",
"sense": "(of two or more positive integers) having no factors in common",
"word": "互素"
},
{
"_dis1": "49 36 3 11",
"code": "cs",
"lang": "Czech",
"sense": "(of two or more positive integers) having no factors in common",
"word": "nesoudělný"
},
{
"_dis1": "49 36 3 11",
"code": "fi",
"lang": "Finnish",
"sense": "(of two or more positive integers) having no factors in common",
"tags": [
"plural"
],
"word": "keskenään jaottomia"
},
{
"_dis1": "49 36 3 11",
"code": "fr",
"lang": "French",
"sense": "(of two or more positive integers) having no factors in common",
"word": "premiers entre eux"
},
{
"_dis1": "49 36 3 11",
"code": "de",
"lang": "German",
"sense": "(of two or more positive integers) having no factors in common",
"word": "teilerfremd"
},
{
"_dis1": "49 36 3 11",
"code": "de",
"lang": "German",
"sense": "(of two or more positive integers) having no factors in common",
"word": "relativ prim"
},
{
"_dis1": "49 36 3 11",
"code": "he",
"lang": "Hebrew",
"roman": "zar",
"sense": "(of two or more positive integers) having no factors in common",
"word": "זר"
},
{
"_dis1": "49 36 3 11",
"code": "hu",
"lang": "Hungarian",
"sense": "(of two or more positive integers) having no factors in common",
"tags": [
"plural"
],
"word": "relatív prímek"
},
{
"_dis1": "49 36 3 11",
"code": "is",
"lang": "Icelandic",
"sense": "(of two or more positive integers) having no factors in common",
"tags": [
"masculine"
],
"word": "ósamþátta"
},
{
"_dis1": "49 36 3 11",
"code": "is",
"lang": "Icelandic",
"sense": "(of two or more positive integers) having no factors in common",
"tags": [
"masculine"
],
"word": "ósamþættur"
},
{
"_dis1": "49 36 3 11",
"code": "id",
"lang": "Indonesian",
"sense": "(of two or more positive integers) having no factors in common",
"word": "relatif prima"
},
{
"_dis1": "49 36 3 11",
"code": "ja",
"lang": "Japanese",
"roman": "tagai ni so",
"sense": "(of two or more positive integers) having no factors in common",
"word": "互いに素"
},
{
"_dis1": "49 36 3 11",
"code": "ko",
"lang": "Korean",
"roman": "seoroso",
"sense": "(of two or more positive integers) having no factors in common",
"word": "서로소"
},
{
"_dis1": "49 36 3 11",
"code": "pl",
"lang": "Polish",
"sense": "(of two or more positive integers) having no factors in common",
"tags": [
"plural"
],
"word": "względnie pierwsze"
},
{
"_dis1": "49 36 3 11",
"code": "pt",
"lang": "Portuguese",
"sense": "(of two or more positive integers) having no factors in common",
"word": "coprimo"
},
{
"_dis1": "49 36 3 11",
"code": "ru",
"lang": "Russian",
"roman": "vzaímno prostój",
"sense": "(of two or more positive integers) having no factors in common",
"word": "взаи́мно просто́й"
},
{
"_dis1": "49 36 3 11",
"code": "ru",
"lang": "Russian",
"roman": "vzaímno prostýje",
"sense": "(of two or more positive integers) having no factors in common",
"tags": [
"plural"
],
"word": "взаи́мно просты́е"
},
{
"_dis1": "49 36 3 11",
"code": "sv",
"lang": "Swedish",
"sense": "(of two or more positive integers) having no factors in common",
"word": "relativt prima"
},
{
"_dis1": "49 36 3 11",
"code": "tr",
"lang": "Turkish",
"sense": "(of two or more positive integers) having no factors in common",
"word": "aralarında asal"
},
{
"_dis1": "47 37 13 3",
"code": "fi",
"lang": "Finnish",
"sense": "(of a positive integer) having no factor in common with...",
"word": "keskenään jaoton ... kanssa"
},
{
"_dis1": "47 37 13 3",
"code": "de",
"lang": "German",
"sense": "(of a positive integer) having no factor in common with...",
"word": "teilerfremd"
},
{
"_dis1": "47 37 13 3",
"code": "de",
"lang": "German",
"sense": "(of a positive integer) having no factor in common with...",
"word": "relativ prim"
},
{
"_dis1": "47 37 13 3",
"code": "he",
"lang": "Hebrew",
"roman": "zár",
"sense": "(of a positive integer) having no factor in common with...",
"word": "זר"
},
{
"_dis1": "47 37 13 3",
"code": "hu",
"lang": "Hungarian",
"sense": "(of a positive integer) having no factor in common with...",
"word": "relatív prím"
},
{
"_dis1": "47 37 13 3",
"code": "pl",
"lang": "Polish",
"sense": "(of a positive integer) having no factor in common with...",
"tags": [
"feminine"
],
"word": "względnie pierwsza"
},
{
"_dis1": "47 37 13 3",
"code": "pt",
"lang": "Portuguese",
"sense": "(of a positive integer) having no factor in common with...",
"word": "coprimo"
}
]
},
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Number theory",
"orig": "en:Number theory",
"parents": [
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"_dis": "24 29 36 12",
"kind": "other",
"name": "English terms prefixed with co-",
"parents": [],
"source": "w+disamb"
}
],
"examples": [
{
"text": "24 is coprime to 35.",
"type": "example"
}
],
"glosses": [
"Having no positive integer factors, aside from 1, in common with one or more specified other positive integers."
],
"id": "en-coprime-en-adj-x3jtU7xl",
"links": [
[
"number theory",
"number theory"
]
],
"raw_glosses": [
"(number theory, of a positive integer) Having no positive integer factors, aside from 1, in common with one or more specified other positive integers."
],
"raw_tags": [
"of a positive integer"
],
"tags": [
"not-comparable"
],
"topics": [
"mathematics",
"number-theory",
"sciences"
]
},
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Algebra",
"orig": "en:Algebra",
"parents": [
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"_dis": "19 19 47 15",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
},
{
"_dis": "24 29 36 12",
"kind": "other",
"name": "English terms prefixed with co-",
"parents": [],
"source": "w+disamb"
}
],
"glosses": [
"Whose greatest common divisor is a nonzero constant (i.e., polynomial of degree 0)."
],
"id": "en-coprime-en-adj-lIbe2cP3",
"links": [
[
"algebra",
"algebra"
],
[
"greatest common divisor",
"greatest common divisor"
]
],
"raw_glosses": [
"(algebra, by extension, of two or more polynomials) Whose greatest common divisor is a nonzero constant (i.e., polynomial of degree 0)."
],
"raw_tags": [
"of two or more polynomials"
],
"tags": [
"broadly",
"not-comparable"
],
"topics": [
"algebra",
"mathematics",
"sciences"
]
},
{
"categories": [
{
"_dis": "24 29 36 12",
"kind": "other",
"name": "English terms prefixed with co-",
"parents": [],
"source": "w+disamb"
}
],
"glosses": [
"(of two or more ideals of a ring) Whose sum is the whole ring; (of two or more elements of a ring) generating the whole ring."
],
"id": "en-coprime-en-adj-4h766JWT",
"links": [
[
"ideal",
"ideal"
],
[
"ring",
"ring"
],
[
"sum",
"sum"
],
[
"element",
"element"
],
[
"generating",
"generate"
]
],
"qualifier": "ring theory",
"raw_glosses": [
"(ring theory, by extension) (of two or more ideals of a ring) Whose sum is the whole ring; (of two or more elements of a ring) generating the whole ring."
],
"tags": [
"broadly",
"not-comparable"
]
}
],
"synonyms": [
{
"_dis1": "0 0 0 0",
"word": "co-prime"
}
],
"wikipedia": [
"coprime"
],
"word": "coprime"
}
{
"categories": [
"English adjectives",
"English entries with incorrect language header",
"English lemmas",
"English terms prefixed with co-",
"English uncomparable adjectives"
],
"etymology_templates": [
{
"args": {
"1": "en",
"2": "co",
"3": "prime"
},
"expansion": "co- + prime",
"name": "prefix"
}
],
"etymology_text": "co- + prime",
"head_templates": [
{
"args": {
"1": "-"
},
"expansion": "coprime (not comparable)",
"name": "en-adj"
}
],
"lang": "English",
"lang_code": "en",
"pos": "adj",
"related": [
{
"word": "coprimality"
},
{
"word": "coprimeness"
},
{
"word": "greatest common divisor"
}
],
"senses": [
{
"categories": [
"English terms with usage examples",
"en:Number theory"
],
"examples": [
{
"text": "24 and 35 are coprime.",
"type": "example"
}
],
"glosses": [
"Having no positive integer factors in common, aside from 1."
],
"links": [
[
"number theory",
"number theory"
],
[
"no",
"no"
],
[
"factor",
"factor"
],
[
"in common",
"in common"
],
[
"1",
"1"
]
],
"raw_glosses": [
"(number theory, of two or more positive integers) Having no positive integer factors in common, aside from 1."
],
"raw_tags": [
"of two or more positive integers"
],
"tags": [
"not-comparable"
],
"topics": [
"mathematics",
"number-theory",
"sciences"
]
},
{
"categories": [
"English terms with usage examples",
"en:Number theory"
],
"examples": [
{
"text": "24 is coprime to 35.",
"type": "example"
}
],
"glosses": [
"Having no positive integer factors, aside from 1, in common with one or more specified other positive integers."
],
"links": [
[
"number theory",
"number theory"
]
],
"raw_glosses": [
"(number theory, of a positive integer) Having no positive integer factors, aside from 1, in common with one or more specified other positive integers."
],
"raw_tags": [
"of a positive integer"
],
"tags": [
"not-comparable"
],
"topics": [
"mathematics",
"number-theory",
"sciences"
]
},
{
"categories": [
"en:Algebra"
],
"glosses": [
"Whose greatest common divisor is a nonzero constant (i.e., polynomial of degree 0)."
],
"links": [
[
"algebra",
"algebra"
],
[
"greatest common divisor",
"greatest common divisor"
]
],
"raw_glosses": [
"(algebra, by extension, of two or more polynomials) Whose greatest common divisor is a nonzero constant (i.e., polynomial of degree 0)."
],
"raw_tags": [
"of two or more polynomials"
],
"tags": [
"broadly",
"not-comparable"
],
"topics": [
"algebra",
"mathematics",
"sciences"
]
},
{
"glosses": [
"(of two or more ideals of a ring) Whose sum is the whole ring; (of two or more elements of a ring) generating the whole ring."
],
"links": [
[
"ideal",
"ideal"
],
[
"ring",
"ring"
],
[
"sum",
"sum"
],
[
"element",
"element"
],
[
"generating",
"generate"
]
],
"qualifier": "ring theory",
"raw_glosses": [
"(ring theory, by extension) (of two or more ideals of a ring) Whose sum is the whole ring; (of two or more elements of a ring) generating the whole ring."
],
"tags": [
"broadly",
"not-comparable"
]
}
],
"synonyms": [
{
"sense": "having no factors in common",
"word": "relatively prime"
},
{
"sense": "having no factors in common with",
"word": "relatively prime"
},
{
"word": "co-prime"
}
],
"translations": [
{
"code": "bg",
"lang": "Bulgarian",
"roman": "vzaimno prosti",
"sense": "(of two or more positive integers) having no factors in common",
"tags": [
"plural"
],
"word": "взаимно прости"
},
{
"code": "yue",
"lang": "Chinese Cantonese",
"roman": "wu⁶ sou³",
"sense": "(of two or more positive integers) having no factors in common",
"word": "互素"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"sense": "(of two or more positive integers) having no factors in common",
"word": "互質"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "hùzhì, hùzhí",
"sense": "(of two or more positive integers) having no factors in common",
"word": "互质"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "hùsù",
"sense": "(of two or more positive integers) having no factors in common",
"word": "互素"
},
{
"code": "cs",
"lang": "Czech",
"sense": "(of two or more positive integers) having no factors in common",
"word": "nesoudělný"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "(of two or more positive integers) having no factors in common",
"tags": [
"plural"
],
"word": "keskenään jaottomia"
},
{
"code": "fr",
"lang": "French",
"sense": "(of two or more positive integers) having no factors in common",
"word": "premiers entre eux"
},
{
"code": "de",
"lang": "German",
"sense": "(of two or more positive integers) having no factors in common",
"word": "teilerfremd"
},
{
"code": "de",
"lang": "German",
"sense": "(of two or more positive integers) having no factors in common",
"word": "relativ prim"
},
{
"code": "he",
"lang": "Hebrew",
"roman": "zar",
"sense": "(of two or more positive integers) having no factors in common",
"word": "זר"
},
{
"code": "hu",
"lang": "Hungarian",
"sense": "(of two or more positive integers) having no factors in common",
"tags": [
"plural"
],
"word": "relatív prímek"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "(of two or more positive integers) having no factors in common",
"tags": [
"masculine"
],
"word": "ósamþátta"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "(of two or more positive integers) having no factors in common",
"tags": [
"masculine"
],
"word": "ósamþættur"
},
{
"code": "id",
"lang": "Indonesian",
"sense": "(of two or more positive integers) having no factors in common",
"word": "relatif prima"
},
{
"code": "ja",
"lang": "Japanese",
"roman": "tagai ni so",
"sense": "(of two or more positive integers) having no factors in common",
"word": "互いに素"
},
{
"code": "ko",
"lang": "Korean",
"roman": "seoroso",
"sense": "(of two or more positive integers) having no factors in common",
"word": "서로소"
},
{
"code": "pl",
"lang": "Polish",
"sense": "(of two or more positive integers) having no factors in common",
"tags": [
"plural"
],
"word": "względnie pierwsze"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "(of two or more positive integers) having no factors in common",
"word": "coprimo"
},
{
"code": "ru",
"lang": "Russian",
"roman": "vzaímno prostój",
"sense": "(of two or more positive integers) having no factors in common",
"word": "взаи́мно просто́й"
},
{
"code": "ru",
"lang": "Russian",
"roman": "vzaímno prostýje",
"sense": "(of two or more positive integers) having no factors in common",
"tags": [
"plural"
],
"word": "взаи́мно просты́е"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "(of two or more positive integers) having no factors in common",
"word": "relativt prima"
},
{
"code": "tr",
"lang": "Turkish",
"sense": "(of two or more positive integers) having no factors in common",
"word": "aralarında asal"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "(of a positive integer) having no factor in common with...",
"word": "keskenään jaoton ... kanssa"
},
{
"code": "de",
"lang": "German",
"sense": "(of a positive integer) having no factor in common with...",
"word": "teilerfremd"
},
{
"code": "de",
"lang": "German",
"sense": "(of a positive integer) having no factor in common with...",
"word": "relativ prim"
},
{
"code": "he",
"lang": "Hebrew",
"roman": "zár",
"sense": "(of a positive integer) having no factor in common with...",
"word": "זר"
},
{
"code": "hu",
"lang": "Hungarian",
"sense": "(of a positive integer) having no factor in common with...",
"word": "relatív prím"
},
{
"code": "pl",
"lang": "Polish",
"sense": "(of a positive integer) having no factor in common with...",
"tags": [
"feminine"
],
"word": "względnie pierwsza"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "(of a positive integer) having no factor in common with...",
"word": "coprimo"
}
],
"wikipedia": [
"coprime"
],
"word": "coprime"
}
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-03 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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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