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Class of numbers in number theory From Wikipedia, the free encyclopedia
In number theory, a Williams number base b is a natural number of the form for integers b ≥ 2 and n ≥ 1.[1] 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.[2]
It is conjectured that for every b ≥ 2, there are infinitely many Williams primes for base b.
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