If p is an odd prime, prove that p does not divide 7^p + 1. Would this be done using Fermat's Little Theorem?
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Originally Posted by wingtip If p is an odd prime, prove that p does not divide 7^p + 1. Would this be done using Fermat's Little Theorem? Yes, by the theorem $\displaystyle 7^p+1\equiv8\pmod{p}$ and $\displaystyle 8\not\equiv 0\pmod{p}$ since p is odd.
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