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MathNet 2023-part-04 — 191 problems (EN–VI) Question 89

Math Olympiad Vault · MathNet 2023-part-04 — 191 problems (EN–VI)

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.