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MathNet 2022-part-05 — 197 problems (EN–VI) Question 144

Math Olympiad Vault · MathNet 2022-part-05 — 197 problems (EN–VI)

Question 144

Find all prime numbers $p$ for which the number
$$
3^p + 4^p + 5^p + 9^p - 98
$$
has at most 6 positive divisors.