Wilson prime facts for kids
A Wilson prime is a special kind of prime number. A prime number p is a Wilson prime if (and only if [ iff ])
where n is a positive integer (sometimes called natural number). Wilson primes were first described by Emma Lehmer.
The only known Wilson primes are 5, 13, and 563 (sequence A007540 in OEIS); if any others exist, they must be greater than 5×108. It has been conjectured that there are an infinite number of Wilson primes, and that the number of Wilson primes in an interval [x , y] is about
.
Compare this with Wilson's theorem, which states that every prime p divides (p − 1)! + 1.
Related pages
- Wieferich prime
- Wall-Sun-Sun prime
- Wolstenholme prime
- Eric W. Weisstein, Wilson prime at MathWorld.
See also
In Spanish: Número primo de Wilson para niños
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Wilson prime Facts for Kids. Kiddle Encyclopedia.