MathDB
2013-2014 Fall OMO #22

Source:

October 30, 2013
Online Math Openmodular arithmeticnumber theoryrelatively prime

Problem Statement

Find the sum of all integers mm with 1≤m≤3001 \le m \le 300 such that for any integer nn with n≥2n \ge 2, if 2013m2013m divides nn−1n^n-1 then 2013m2013m also divides n−1n-1.
Proposed by Evan Chen
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