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(2n)! = (n-2)!n!(n+2)! factorial diophantine

Source: 1998 Estonia National Olympiad Final Round grade 12 p4

March 11, 2020

factorialdiophantineDiophantine equationnumber theory

Problem Statement

Find all integers

n > 2

for which

(2n)! = (n-2)!n!(n+2)!