Should I Count Them Up?

Number Theory Level 4

Let N Be The Total Number Of Natural Numbers From 1 to 2010 (Both Included)

Which Can Be Expressed As Difference Of Squares Of Two Non Negative Integers.

Let P Denote The Number Obtained By Reversing Digits Of N .

Calculate The Remainder When The Sum Of N And P Is Divided By 8 .

Note- Reversing Digits Means If A Number is abcd then after reversal it will

become dcba

This Problem Is Original (Although After Posting This I Saw A Similar Problem On AOPS )


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