MathDB

1

Part of 1994 Greece National Olympiad

Problems(1)

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

Source: 1993 Greece MO p1

9/6/2024
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.
number theoryPerfect SquaresPerfect Square