Brocard's Problem: No Solution for n! Containing Prime^2, n>7?

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Brocard's problem asks to find integer values of n for which
n! + 1 =m^2 .
where n! is the factorial.Probably I got a proof that there is no solution if n! contains a prime with power exactly 2 & n>7...looking for error...anyone else with any result?
 
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and you did not post your proof because you run out of ink? or maybe your computer crashed.
 
I have enough ink but don't know how to write with ink on computer:smile: trying to find an error in my proof,so asking about any result related to the problem.
 
Using long integer arithmetic, I found (besides n= 4, 5, 7) no other solutions for all n < 100
 
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