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997 ways (Posted on 2014-06-14) Difficulty: 3 of 5

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 The Solution Submitted by broll    
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Question A tiny hint NEEDED | Comment 1 of 3

I am totally flabbergasted.

Can it be solved analytically?

Is 997 aspecial number or your solution works for any n ?

A tiny hint (i.e. where to start)  will be appreciated..


  Posted by Ady TZIDON on 2014-06-15 03:48:36
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