On Wilson's Theorem and Polignac Conjecture

Details On Wilson's Theorem and Polignac Conjecture On Wilson's Theorem and Polignac Conjecture

2004-08-02

arxiv.org/abs/math/0408018v1

Mathematics

Number Theory

8 pages

Scientific paper

We introduce Wilson's theorem and Clement's result and present a necessary
and sufficient condition for p and p+2k to be primes where k is a positive
integer. By using Simiov's Theorem, we derive an improved version of Clement's
result and characterizations of Polignac twin primes which parallel previous
characterizations.

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