Schinzel's hypothesis H

Etymology
Named after.

Proper noun

 * 1)  A famous open problem in mathematics, the hypothesis stating that, for every finite collection $$\{f_1,f_2,\ldots,f_k\}$$ of non-constant irreducible polynomials over the integers with positive leading coefficients, one of the following conditions holds: (i) there are infinitely many positive integers $$n$$ such that all of $$f_1(n),f_2(n),\ldots,f_k(n)$$ are simultaneously prime numbers, or (ii) there is an integer $$m>1$$ (called a fixed divisor) which always divides the product $$f_1(n)f_2(n)\cdots f_k(n)$$.