MathDB

6

Part of 2018 Polish Junior MO First Round

Problems(1)

Integers, equation

Source: XIII Polish Junior MO 2018 First Round - Problem 6

4/24/2018
Positive integers k,m,nk, m, n satisfy the equation m2+n=k2+km^2 + n = k^2 + k. Show that m≤nm \le n.
number theoryequationalgebraPoland