Schinzel's hypothesis H that for every finite collection \{f_1, \ldots, f_k\} of nonconstant irreducible polynomials over the integers with…

Schinzel's hypothesis H that for every finite collection \{f_1, \ldots, f_k\} of nonconstant irreducible polynomials over the integers with positive leading coefficients, either there are infinitely many positive integers n for which f_1(n), \ldots, f_k(n) are all primes, or there is some fixed divisor m > 1 which, for all n, divides some f_i(n).

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Source: List of unsolved problems in mathematics (CC BY-SA 4.0)