MathDB

2

Part of 1996 Dutch Mathematical Olympiad

Problems(1)

(m^2 + n) and (n^2 + m) are both perfect squares

Source: Dutch NMO 1996 p2

1/29/2020
Investigate whether for two positive integers mm and nn the numbers m2+nm^2 + n and n2+mn^2 + m can be both squares of integers.
Perfect SquaresPerfect Squarenumber theory