OMath! / Math Forums / Number Theory v / Solve $a!b! = a!+b!+c^2,\quad a,b,c\in\mathbb{N}^+$

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Solve $a!b! = a!+b!+c^2,\quad a,b,c\in\mathbb{N}^+$
02-18-2011, 05:32 PM
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elim Offline
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Solve $a!b! = a!+b!+c^2,\quad a,b,c\in\mathbb{N}^+$
Find positive integer solutions $(a,b,c)$ such that $a! b! = a! + b! + c^2$
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