Question 110
Find all triples of natural numbers $(a, b, c)$ such that for every natural number $n$ that has no prime divisor smaller than $2015$,
$$
n+c \mid a^{n}+b^{n}+n
$$
$$
n+c \mid a^{n}+b^{n}+n
$$
MathNet 2015-part-06 — 191 problems (EN–VI) Question 110
Math Olympiad Vault · MathNet 2015-part-06 — 191 problems (EN–VI)