Linnik's theorem

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo arithmetic progressions
gptkbp:countryOfOrigin gptkb:Soviet_Union
gptkbp:field number theory
gptkbp:hasConstant gptkb:Linnik_constant
https://www.w3.org/2000/01/rdf-schema#label Linnik's theorem
gptkbp:influenced analytic number theory
gptkbp:namedAfter gptkb:Yuri_Linnik
gptkbp:relatedTo least prime in arithmetic progression
gptkbp:sentence There exists a constant L such that for every sufficiently large odd integer n, the least prime p congruent to a given residue class modulo n is less than n^L.
gptkbp:yearProved 1944
gptkbp:bfsParent gptkb:Dirichlet's_theorem_on_arithmetic_progressions
gptkbp:bfsLayer 5