2a

Part of 1999 Abels Math Contest (Norwegian MO)

Problems(1)

2m^2 +n^2 = 2mn+3n diophantine

Source: Norwegian Mathematical Olympiad 1999 - Abel Competition p2a

Find all integers

m

n

2m^2 +n^2 = 2mn+3n

Diophantine equationdiophantinenumber theory