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MathNet 2011 Question 2

Math Olympiad Vault · MathNet 2011

Question 2

Find at least one integer $a$ such that for the polynomial $P(x) = x^5 + a x$ the statement
“if $n \mid P(k) - P(l)$ then $n \mid k - l$, for all $k, l \in \mathbb{Z}$”
holds only for finitely many positive integers $n$, including $n = 95$.