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2(1991m^2+1993mn+1995n^2) newver perfect square

Source: 1993 Greece MO p1

September 6, 2024
number theoryPerfect SquaresPerfect Square

Problem Statement

Prove that number 2(1991m2+1993mn+1995n2)2(1991m^2+1993mn+1995n^2) where m,nm,n are poitive integers, cannot be a square of an integer.
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