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Difference between revisions of "Williams prime"
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| − | Varying both signs, there're four different types of Williams | + | Varying both signs, there're four different types of numbers similiar to Williams numbers: |
*[[:Category:Williams prime MM|Type {{Kbn|(b-1)|b|n}}]] | *[[:Category:Williams prime MM|Type {{Kbn|(b-1)|b|n}}]] | ||
*[[:Category:Williams prime MP|Type {{Kbn|+|(b-1)|b|n}}]] | *[[:Category:Williams prime MP|Type {{Kbn|+|(b-1)|b|n}}]] | ||
Revision as of 11:17, 21 April 2019
Definition
A Williams number is a natural number of the form (b-1)•bn-1 for integers b ≥ 2 and n ≥ 1.
A Williams prime is a Williams number which is prime.
Generalization
Varying both signs, there're four different types of numbers similiar to Williams numbers:
External links
- H. C. Williams: "The primality of certain integers of the form 2Ar^n-1", Acta Arith. 39 (1981), 7-17
- A. Stein, H. C. Williams: "Explicit primality criteria for (p−1)pn−1", Math. Comp. 69 (2000), 1721-1734
- Steven Harvey: Search for original Williams primes
- Williams number
Number classes
| General numbers |
| Special numbers |
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| Prime numbers |
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