# Not enough pairs

**Number Theory**Level 3

\[ \large n!+1=m^2\]

Let the pairs \((m,n)\) be positive integers such that the equation above is fulfilled.

How many pairs of \((x,y) \) there are such that \(m<100\)?

\[ \large n!+1=m^2\]

Let the pairs \((m,n)\) be positive integers such that the equation above is fulfilled.

How many pairs of \((x,y) \) there are such that \(m<100\)?

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