See Dickson's conjecture on Wiktionary
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{ "etymology_text": "Introduced by Leonard Eugene Dickson in 1904.", "head_templates": [ { "args": {}, "expansion": "Dickson's conjecture", "name": "en-prop" } ], "lang": "English", "lang_code": "en", "pos": "name", "senses": [ { "categories": [ "English entries with incorrect language header", "English eponyms", "English lemmas", "English multiword terms", "English proper nouns", "English uncountable nouns", "Pages with 1 entry", "Pages with entries", "en:Number theory" ], "glosses": [ "The conjecture that, for a finite set of linear forms a₁ + b₁n, a₂ + b₂n, ..., aₖ + bₖn with bᵢ ≥ 1, there are infinitely many positive integers n for which they are all prime, unless there is a congruence condition preventing this." ], "links": [ [ "number theory", "number theory" ], [ "positive", "positive" ], [ "integer", "integer" ], [ "prime", "prime" ], [ "congruence", "congruence" ] ], "raw_glosses": [ "(number theory) The conjecture that, for a finite set of linear forms a₁ + b₁n, a₂ + b₂n, ..., aₖ + bₖn with bᵢ ≥ 1, there are infinitely many positive integers n for which they are all prime, unless there is a congruence condition preventing this." ], "topics": [ "mathematics", "number-theory", "sciences" ], "wikipedia": [ "Leonard Eugene Dickson" ] } ], "word": "Dickson's conjecture" }
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