Question 117
Find the largest integer $n$ such that
$$
\frac{n^{2007}+n^{2006}+\cdots+n^{2}+n+1}{n+2007}
$$
is an integer.
$$
\frac{n^{2007}+n^{2006}+\cdots+n^{2}+n+1}{n+2007}
$$
is an integer.
MathNet 2008-part-03 — 165 problems (EN–VI) Question 117
Math Olympiad Vault · MathNet 2008-part-03 — 165 problems (EN–VI)