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4p-3 is a perfect square

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April 22, 2009
number theory unsolvednumber theory

Problem Statement

Let n,pn,p be integers such that n>1n>1 and pp is a prime. If n∣p−1n\mid p-1 and p∣n3−1p\mid n^3-1, show that 4p−34p-3 is a perfect square.
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