Zsigmondy's theorem

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In number theory, the Zsigmondy's theorem states that if a>b>0 are coprime integers, then for any natural number n>1 there is a prime number p (called primitive prime divisor) that divides aⁿ-bⁿ and does not divide a^k-b^k for all k<n, with the following exceptions:

• a=2, b=1, n=6;

• a+b is a power of two and n=2.

Retrieved from "http://en.wikipedia.org../../../z/s/i/Zsigmondy%27s_theorem.html"

Categories: Number theory | Mathematical theorems

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• This page was last modified 14:49, 20 July 2006 by Wikipedia user Bluebot. Based on work by Wikipedia user(s) Oleg Alexandrov and Matikkapoika and Anonymous user(s) of Wikipedia.
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