KnowraCongruence (number theory)Linked fromLinked fromThe 23 pages that link to Congruence (number theory), each with the reason it gives.All 23Broader topic 1Related 13Narrower topic 9Quadratic reciprocityNarrower topic: Residues and squares in the theorem are defined through congruence.Fermat's theorem on sums of two squaresNarrower topic: The condition p ≡ 1 mod 4 selects exactly the odd primes covered by the representation.Qin JiushaoNarrower topic: Congruences are the modular arithmetic statements combined in Qin’s method.Sum of two squares theoremNarrower topic: The condition distinguishes prime factors by their remainders modulo 4.Cubic reciprocityNarrower topic: Residue symbols encode whether congruences to cubes have solutions.Lifting-the-exponent lemmaNarrower topic: LTE’s assumptions are commonly stated as congruences modulo a prime.Lucas's theoremNarrower topic: Its conclusion is a modular equality, not an equality of ordinary integers.Proth's theoremNarrower topic: The theorem expresses its test as a congruence to −1.Wolstenholme's theoremNarrower topic: The theorem states equality modulo the prime cube, not equality of ordinary integers.