Identity in number theory

Feb 2010
114
0
\(\displaystyle p^n-1\) is a multiple of 2 where \(\displaystyle p\) is a prime no and \(\displaystyle p\geq 3\) and \(\displaystyle n\) is a positive integer.
 
Dec 2016
315
171
Earth
That's unremarkable. \(\displaystyle \ p^n - 1 \ \) is a (negative, zero, or positive) multiple
of 2, depending, where p is any negative or positive odd integer, and n is an
integer greater than or equal to zero.

The main point is that there is nothing special about p being a prime (odd).
 
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