Find all pairs of natural numbers $(m,n)$ such that:
$m!n! = m!+n!$
I just found the solution $(2,2)$
2026-04-02 05:05:30.1775106330
Solve the Diophantine equation $m!n! = m!+n!$.
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$$ (m!-1)(n!-1) = 1 $$ and both factors are nonnegative integers