MathDB

4

Part of 2018 Lusophon Mathematical Olympiad

Problems(1)

m^2=n^2 +m+n+2018 , solve in positive integers

Source: Lusophon 2018 CPLP P4

9/13/2018
Determine the pairs of positive integer numbers mm and nn that satisfy the equation m2=n2+m+n+2018m^2=n^2 +m+n+2018.
Diophantine equationpositive integersnumber theory