MathDB
2013 BMT Individual 16

Source:

January 18, 2022
number theory

Problem Statement

Find the sum of all possible nn such that nn is a positive integer and there exist a,b,ca, b, c real numbers such that for every integer mm, the quantity 2013m3+am2+bm+cn\frac{2013m^3 + am^2 + bm + c}{n} is an integer.
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