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Let P be an odd prime. Suppose a,b are elements of N and 1+1/2+1/3+...+1/p-1 = a/b Prove p|a (Hint: Compute the left hand size in Zp).?

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  • Let P be an odd prime. Suppose a,b are elements of N and 1+1/2+1/3+...+1/p-1 = a/b Prove p|a (Hint: Compute the left hand size in Zp).?


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