A recent puzzle asked for the smallest number that can be written as the difference of 2 squares in 4 ways - very interesting but not that challenging.

What is the smallest number that can be written as the (positive) difference of 2 squares in exactly 997 ways?

See solution.

Edited on June 18, 2014, 6:47 am

Posted by broll on 2014-06-15 04:09:26