Wolstenholme prime: Difference between revisions
(Created page with "{{prime number property}} ==Definition== A '''Wolstenholme prime''' is a prime number <math>p</math> such that: <math>\binom{2p - 1}{p - 1} \equiv 1 \pmod{p^4}</math> ...") |
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<math>\binom{2p - 1}{p - 1} \equiv 1 \pmod{p^4}</math> | <math>\binom{2p - 1}{p - 1} \equiv 1 \pmod{p^4}</math> | ||
In other words, it satisfies a stronger version of [[Wolstenholme's theorem]], which is true for all primes | In other words, it satisfies a stronger version of [[Wolstenholme's theorem]], which is true for all primes greater than [[3]]. | ||
==Occurrence== | ==Occurrence== | ||
Latest revision as of 20:39, 3 January 2012
This article defines a property that can be evaluated for a prime number. In other words, every prime number either satisfies this property or does not satisfy this property.
View other properties of prime numbers | View other properties of natural numbers
Definition
A Wolstenholme prime is a prime number such that:
In other words, it satisfies a stronger version of Wolstenholme's theorem, which is true for all primes greater than 3.
Occurrence
Initial examples
Currently there are only two known Wolstenholme primes: 16843 and 2124679.