A Special Case of Zsigmondy’s Theorem

Theorem (Zsigsmondy):  For two coprime positive integers \(a\) and \(b\) and for any positive integer \(n\), \(a^n-b^n\) has a prime divisor that does not divide \(a^k-b^k\) for all positive integers \(k< n\) with the following exceptions: \(n = 2\) and \(a+b\) is a power of two. \(n=6, a=2, b=1\). For two coprime positive integers \(a\) and \(b\) … Continue reading A Special Case of Zsigmondy’s Theorem →

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