MathDB

3

Part of 2001 Moldova Team Selection Test

Problems(1)

Is the number $|m^2+1-n^2|$ is a perfect square?

Source: Moldova TST 2001

8/6/2023
Let mm and nn{} be positive integers of the same parity such that n2−1n^2-1 divides ∣m2+1−n2∣|m^2+1-n^2|. Is the number ∣m2+1−n2∣|m^2+1-n^2| is a perfect square?
number theory