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Number Theory Level pending

what is the remainder when 96!+1 is divided by 97


The answer is 0.

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1 solution

Anurag Reddy
Apr 18, 2014

wilson's theorem states that if p is a prime then (p-1)!+1 is exactly divisible by p i.e,(p-1)!+1~0(mod p).97 is a prime .when 96!+1 is divided by 97 the remainder is 0

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