Schinzel's Conjecture
Schinzel's Conjecture is a hypothesis in number theory proposed by mathematician Hugo Schinzel. It suggests that for any finite set of irreducible polynomials with integer coefficients, there exist infinitely many integers that produce prime numbers when substituted into these polynomials.
The conjecture implies that if the polynomials are chosen carefully, they can generate an infinite sequence of prime numbers. This idea connects to broader topics in mathematics, such as the distribution of prime numbers and the behavior of polynomials in number theory. Despite its simplicity, the conjecture remains unproven for general cases.