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(m + 1)! + (n + 1)! = m^2n

Source: New Zealand NZMOC Camp Selection Problems 2011 Juniors 4

September 18, 2021

diophantineDiophantine equationnumber theory

Problem Statement

Find all pairs of positive integers

m

and

n

such that

(m + 1)! + (n + 1)! = m^2n.