Question 89
Find all prime numbers $p$ for which the natural number
$$
3^{p}+4^{p}+5^{p}+9^{p}-98
$$
has at most 6 positive divisors.
$$
3^{p}+4^{p}+5^{p}+9^{p}-98
$$
has at most 6 positive divisors.
Math Olympiad Vault · MathNet 2023-part-04 — 191 problems (EN–VI)