Possible Duplicate:
Triangular Factorials
Extending this question, what are the solutions $(m,n)$ of this equation?
$\sum_{k=1}^m{k} = n!$
I know $(1,1)$, $(3,3)$, and $(15,5)$. Are there any more? How can I prove the solution set is finite?
Possible Duplicate:
Triangular Factorials
Extending this question, what are the solutions $(m,n)$ of this equation?
$\sum_{k=1}^m{k} = n!$
I know $(1,1)$, $(3,3)$, and $(15,5)$. Are there any more? How can I prove the solution set is finite?