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Dan
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Dec 12 '12 at 22:34
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If $\gcd(a,b)=1$, then $\gcd(a+b,a^2 -ab+b^2)=1$ or $3$.
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If p is an odd prime, prove $1^p + 2^p + 3^p +\cdots+(p-1)^p$ is congruent to $0\pmod p$ [duplicate]
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If p is an odd prime, prove $1^p + 2^p + 3^p +\cdots+(p-1)^p$ is congruent to $0\pmod p$
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If $\gcd(a,b)=1$, then $\gcd(a+b,a^2 -ab+b^2)=1$ or $3$.
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