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Indivisibility by 529 (Posted on 2016-07-25) Difficulty: 3 of 5
Prove that for any integer x, the value of x^2+7x+18 is not divisible by 529.

See The Solution Submitted by Brian Smith    
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Brute force. | Comment 1 of 3

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

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