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Table of congruences
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Table of congruences : ウィキペディア英語版
Table of congruences
In mathematics, a congruence is an equivalence relation on the integers. The following table lists important or interesting congruences.
\,\! || special case of Fermat's little theorem, satisfied by all odd prime numbers
|-
| 2^ \equiv 1 \pmod\,\! || solutions are called Wieferich primes
|-
| F_ \equiv 0 \pmod || satisfied by all prime numbers
|-
| F_ \equiv 0 \pmod || solutions are called Wall–Sun–Sun primes
|-
| \equiv 1 \pmod || by Wolstenholme's theorem satisfied by all prime numbers greater than 3
|-
| \equiv 1 \pmod, || solutions are called Wolstenholme primes
|-
| (n-1)!\ \equiv\ -1 \pmod n || by Wilson's theorem a natural number ''n'' is prime if and only if it satisfies this congruence
|-
| (p-1)!\ \equiv\ -1 \pmod || solutions are called Wilson primes
|}
==References==


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