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diophantine with factorials, a! + b! = 2^n

Source: Dutch NMO 2011 p1

September 6, 2019
number theoryfactorialdiophantineDiophantine equation

Problem Statement

Determine all triples of positive integers (a,b,n)(a, b, n) that satisfy the following equation: a!+b!=2na! + b! = 2^n
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