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July 6, 2015

Homework Help: Math algebra

Posted by Bob on Saturday, May 11, 2013 at 2:35am.

Let N be the sum of all positive integers q of the form q=p^k with prime p, such that for at least four different integer values of x from 1 to q,
x^3−3x≡123(modq).
What are the last 3 digits of N?

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