Problem - 03 - National Math Camp 2021 Number Theory Exam - "Infinitely many prime divisors"
- Anindya Biswas
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Let $P(x)$ be a nonzero integer polynomial, that is, the coefficients are all integers. We call a prime $q$ "interesting" if there exists some natural number $n$ for which $q|2^n+P(n)$. Prove that there exist infinitely many “interesting” primes.
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— John von Neumann
— John von Neumann