See coprime on Wiktionary
{ "derived": [ { "_dis1": "0 0 0 0", "word": "coprimely" } ], "etymology_templates": [ { "args": { "1": "en", "2": "co", "3": "prime" }, "expansion": "co- + prime", "name": "prefix" } ], "etymology_text": "From 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" } ], "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 3 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 37 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 37 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 37 3 11", "code": "cmn", "lang": "Chinese Mandarin", "sense": "(of two or more positive integers) having no factors in common", "word": "互質" }, { "_dis1": "49 37 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 37 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 37 3 11", "code": "cs", "lang": "Czech", "sense": "(of two or more positive integers) having no factors in common", "word": "nesoudělný" }, { "_dis1": "49 37 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 37 3 11", "code": "fr", "lang": "French", "sense": "(of two or more positive integers) having no factors in common", "word": "premiers entre eux" }, { "_dis1": "49 37 3 11", "code": "de", "lang": "German", "sense": "(of two or more positive integers) having no factors in common", "word": "teilerfremd" }, { "_dis1": "49 37 3 11", "code": "de", "lang": "German", "sense": "(of two or more positive integers) having no factors in common", "word": "relativ prim" }, { "_dis1": "49 37 3 11", "code": "he", "lang": "Hebrew", "roman": "zar", "sense": "(of two or more positive integers) having no factors in common", "word": "זר" }, { "_dis1": "49 37 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 37 3 11", "code": "is", "lang": "Icelandic", "sense": "(of two or more positive integers) having no factors in common", "tags": [ "masculine" ], "word": "ósamþátta" }, { "_dis1": "49 37 3 11", "code": "is", "lang": "Icelandic", "sense": "(of two or more positive integers) having no factors in common", "tags": [ "masculine" ], "word": "ósamþættur" }, { "_dis1": "49 37 3 11", "code": "id", "lang": "Indonesian", "sense": "(of two or more positive integers) having no factors in common", "word": "relatif prima" }, { "_dis1": "49 37 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 37 3 11", "code": "ko", "lang": "Korean", "roman": "seoroso", "sense": "(of two or more positive integers) having no factors in common", "word": "서로소" }, { "_dis1": "49 37 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 37 3 11", "code": "pt", "lang": "Portuguese", "sense": "(of two or more positive integers) having no factors in common", "word": "coprimo" }, { "_dis1": "49 37 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 37 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 37 3 11", "code": "sv", "lang": "Swedish", "sense": "(of two or more positive integers) having no factors in common", "word": "relativt prima" }, { "_dis1": "49 37 3 11", "code": "tr", "lang": "Turkish", "sense": "(of two or more positive integers) having no factors in common", "word": "aralarında asal" }, { "_dis1": "50 38 7 4", "code": "fi", "lang": "Finnish", "sense": "(of a positive integer) having no factor in common with...", "word": "keskenään jaoton ... kanssa" }, { "_dis1": "50 38 7 4", "code": "de", "lang": "German", "sense": "(of a positive integer) having no factor in common with...", "word": "teilerfremd" }, { "_dis1": "50 38 7 4", "code": "de", "lang": "German", "sense": "(of a positive integer) having no factor in common with...", "word": "relativ prim" }, { "_dis1": "50 38 7 4", "code": "he", "lang": "Hebrew", "roman": "zár", "sense": "(of a positive integer) having no factor in common with...", "word": "זר" }, { "_dis1": "50 38 7 4", "code": "hu", "lang": "Hungarian", "sense": "(of a positive integer) having no factor in common with...", "word": "relatív prím" }, { "_dis1": "50 38 7 4", "code": "pl", "lang": "Polish", "sense": "(of a positive integer) having no factor in common with...", "tags": [ "feminine" ], "word": "względnie pierwsza" }, { "_dis1": "50 38 7 4", "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": "28 37 20 15", "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": "15 17 38 30", "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w+disamb" }, { "_dis": "13 16 45 26", "kind": "other", "name": "Entries with translation boxes", "parents": [], "source": "w+disamb" }, { "_dis": "20 24 36 20", "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w+disamb" }, { "_dis": "6 8 54 32", "kind": "other", "name": "Pages with entries", "parents": [], "source": "w+disamb" }, { "_dis": "16 18 43 23", "kind": "other", "name": "Terms with Bulgarian translations", "parents": [], "source": "w+disamb" }, { "_dis": "15 17 44 24", "kind": "other", "name": "Terms with Cantonese translations", "parents": [], "source": "w+disamb" }, { "_dis": "16 18 43 23", "kind": "other", "name": "Terms with Czech translations", "parents": [], "source": "w+disamb" }, { "_dis": "15 17 44 24", "kind": "other", "name": "Terms with Finnish translations", "parents": [], "source": "w+disamb" }, { "_dis": "16 19 44 22", "kind": "other", "name": "Terms with French translations", "parents": [], "source": "w+disamb" }, { "_dis": "15 17 44 24", "kind": "other", "name": "Terms with German translations", "parents": [], "source": "w+disamb" }, { "_dis": "15 17 44 24", "kind": "other", "name": "Terms with Hebrew translations", "parents": [], "source": "w+disamb" }, { "_dis": "18 20 42 20", "kind": "other", "name": "Terms with Hungarian translations", "parents": [], "source": "w+disamb" }, { "_dis": "15 17 44 24", "kind": "other", "name": "Terms with Icelandic translations", "parents": [], "source": "w+disamb" }, { "_dis": "14 16 44 26", "kind": "other", "name": "Terms with Indonesian translations", "parents": [], "source": "w+disamb" }, { "_dis": "12 15 49 24", "kind": "other", "name": "Terms with Japanese translations", "parents": [], "source": "w+disamb" }, { "_dis": "15 17 44 24", "kind": "other", "name": "Terms with Korean translations", "parents": [], "source": "w+disamb" }, { "_dis": "18 20 42 20", "kind": "other", "name": "Terms with Mandarin translations", "parents": [], "source": "w+disamb" }, { "_dis": "16 19 42 23", "kind": "other", "name": "Terms with Polish translations", "parents": [], "source": "w+disamb" }, { "_dis": "18 20 39 23", "kind": "other", "name": "Terms with Portuguese translations", "parents": [], "source": "w+disamb" }, { "_dis": "12 15 49 24", "kind": "other", "name": "Terms with Russian translations", "parents": [], "source": "w+disamb" }, { "_dis": "15 17 45 24", "kind": "other", "name": "Terms with Swedish translations", "parents": [], "source": "w+disamb" }, { "_dis": "15 17 45 24", "kind": "other", "name": "Terms with Turkish translations", "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" ] }, { "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", "Entries with translation boxes", "Pages with 1 entry", "Pages with entries", "Terms with Bulgarian translations", "Terms with Cantonese translations", "Terms with Czech translations", "Terms with Finnish translations", "Terms with French translations", "Terms with German translations", "Terms with Hebrew translations", "Terms with Hungarian translations", "Terms with Icelandic translations", "Terms with Indonesian translations", "Terms with Japanese translations", "Terms with Korean translations", "Terms with Mandarin translations", "Terms with Polish translations", "Terms with Portuguese translations", "Terms with Russian translations", "Terms with Swedish translations", "Terms with Turkish translations" ], "derived": [ { "word": "coprimely" } ], "etymology_templates": [ { "args": { "1": "en", "2": "co", "3": "prime" }, "expansion": "co- + prime", "name": "prefix" } ], "etymology_text": "From 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" }
Download raw JSONL data for coprime meaning in All languages combined (8.1kB)
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.
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.