Question 140
Prove that for all natural $n \ge 2$ the following number is composite:
$$
\frac{n^{1003} + n^{1002} + n^{1001} + 1}{n+1}
$$
$$
\frac{n^{1003} + n^{1002} + n^{1001} + 1}{n+1}
$$
MathNet 2016-part-06 — 184 problems (EN–VI) Question 140
Math Olympiad Vault · MathNet 2016-part-06 — 184 problems (EN–VI)