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MathNet 2008-part-02 — 165 problems (EN–VI) Question 102

Math Olympiad Vault · MathNet 2008-part-02 — 165 problems (EN–VI)

Question 102

Determine the minimal prime number $p \gt 3$ for which no natural number $n$ satisfies
$$
2^{n} + 3^{n} \equiv 0 \pmod{p}
$$