BALTIC-WAY 2013 Problem 20
- Answer
Find all polynomials with non-negative integer coefficients such that for all primes and positive integers there exist a prime and a positive integer such that .
Dataset text NuminaMath olympiads. Quoted with source.
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P(t)=t^{m} \text{ where } m \text{ is a positive integer, and } P(t)=q^{m} \text{ where } q \text{ is a prime and } m \text{ is a positive integer}
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