In number theory, a Williams number base b is a natural number of the form for integers b ≥ 2 and n ≥ 1.Williams primes The Williams numbers base 2 are exactly the Mersenne numbers.
A Williams prime is a Williams number that is prime. They were considered by Hugh C. Williams.See Table 1 in the last page of the paper:
It is conjectured that for every b ≥ 2, there are infinitely many Williams primes for base b.
See also Thabit number
References
External links
The primality of certain integers of the form 2Arn − 1 Some prime numbers of the forms 2·3n + 1 and 2·3n − 1 Williams prime at PrimeWiki