Let p be a prime number. Use the fact that Zp is a field to prove that (p-1)! is congruent to -1(mod p). Hint: Pair elements of Zp with their multiplicative inverses.
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Originally Posted by meggnog Let p be a prime number. Use the fact that Zp is a field to prove that (p-1)! is congruent to -1(mod p). Hint: Pair elements of Zp with their multiplicative inverses. That is a huge hint: what've you done so far? Tonio
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