MathDB
Does there exist an integer z ?

Source:

September 25, 2010
number theoryfactorialAdditive Number TheoryIMO ShortlistIMO Longlist

Problem Statement

Does there exist an integer zz that can be written in two different ways as z=x!+y!z = x! + y!, where x,yx, y are natural numbers with x≤yx \le y ?
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