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find prime p such that 1 + p\cdot 2^{p} is a perfect square

Source: IMAC Arhimede 2008 p1

May 4, 2019
number theoryprimePerfect Square

Problem Statement

Find all prime numbers p p for which 1+pā‹…2p 1 + p\cdot 2^{p} is a perfect square.
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