perplexus.info :: Numbers : Square OR 2*square

Square OR 2*square (Posted on 2017-01-14)

Given p is a prime number and that there are 2 distinct positive integers u and v such that p^2 is the mean of u^2 and v^2.

Prove that 2p−u−v is either a square or twice a square.

No Solution Yet Submitted by Ady TZIDON

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