MathDB

7

Part of 2010 Switzerland - Final Round

Problems(1)

m+n+1 divides 2(m^2+n^2)-1

Source: Swiss Math Olympiad 2010 - final round, problem 7

3/16/2010
Let m m, n n be natural numbers such that m\plus{}n\plus{}1 is prime and divides 2(m^2\plus{}n^2)\minus{}1. Prove that m\equal{}n.
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