Prove that for any integer x, the value of x^2+7x+18 is not divisible by 529.

Simply compute the expression mod 23^2 for the successive values of x between 1 and 529 - very easy in Excel.

0 is not an accessible value; nor for that matter are {5,7,10,11,14,15,…}

Edited on July 25, 2016, 2:46 pm

Posted by broll on 2016-07-25 14:38:59