1!=1^2; 1!+2!+3!=3^2
Are there any other sums of n consecutive factorials that sum up to a perfect square?

Either list them all or prove there are none.

(In reply to re(3): If you don't have to start with 1 ... by xdog)

dang you're right, back to the drawing board, that's what I get for using a quick python script and not double checking my calculations.  Made a quick list of the distinct remainders of squares mod 7 and hosed it up somehow.

Posted by Daniel on 2018-06-26 20:23:20