See Gaussian prime on Wiktionary
{ "forms": [ { "form": "Gaussian primes", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "Gaussian prime (plural Gaussian primes)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ { "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w" }, { "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with entries", "parents": [], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Mathematics", "orig": "en:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "glosses": [ "A Gaussian integer a + bi such that either one of a, b is zero and the absolute value of the other is a prime number of the form 4n + 3 (with m a nonnegative integer); or both are nonzero and a² + b² is a prime number (which will not be of the form 4n + 3)." ], "id": "en-Gaussian_prime-en-noun-8q3IQdbA", "links": [ [ "mathematics", "mathematics" ], [ "Gaussian integer", "Gaussian integer" ], [ "absolute value", "absolute value" ] ], "raw_glosses": [ "(mathematics) A Gaussian integer a + bi such that either one of a, b is zero and the absolute value of the other is a prime number of the form 4n + 3 (with m a nonnegative integer); or both are nonzero and a² + b² is a prime number (which will not be of the form 4n + 3)." ], "topics": [ "mathematics", "sciences" ] } ], "word": "Gaussian prime" }
{ "forms": [ { "form": "Gaussian primes", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "Gaussian prime (plural Gaussian primes)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ "English countable nouns", "English entries with incorrect language header", "English eponyms", "English lemmas", "English multiword terms", "English nouns", "Pages with 1 entry", "Pages with entries", "en:Mathematics" ], "glosses": [ "A Gaussian integer a + bi such that either one of a, b is zero and the absolute value of the other is a prime number of the form 4n + 3 (with m a nonnegative integer); or both are nonzero and a² + b² is a prime number (which will not be of the form 4n + 3)." ], "links": [ [ "mathematics", "mathematics" ], [ "Gaussian integer", "Gaussian integer" ], [ "absolute value", "absolute value" ] ], "raw_glosses": [ "(mathematics) A Gaussian integer a + bi such that either one of a, b is zero and the absolute value of the other is a prime number of the form 4n + 3 (with m a nonnegative integer); or both are nonzero and a² + b² is a prime number (which will not be of the form 4n + 3)." ], "topics": [ "mathematics", "sciences" ] } ], "word": "Gaussian prime" }
Download raw JSONL data for Gaussian prime meaning in All languages combined (1.2kB)
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.