Show that if a + b 6= 0, gcd(a, b) = 1 and p is an odd prime, then

gcd(a + b,(a^{p}+ b^{p})/(a+b)) is 1 or p.

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- Apr 15th 2012, 02:16 PMsekozerA greatest common divisor question
Show that if a + b 6= 0, gcd(a, b) = 1 and p is an odd prime, then

gcd(a + b,(a^{p}+ b^{p})/(a+b)) is 1 or p.