Polignac's conjecture
= Polignac's conjecture
{wiki=Polignac's_conjecture}
Polignac's conjecture, also known as the "French conjecture," is a statement in number theory formulated by the French mathematician Alphonse de Polignac in 1849. The conjecture posits that for every positive even integer \\( k \\), there are infinitely many prime pairs \\( p \\) and \\( p + k \\) such that both \\( p \\) and \\( p + k \\) are prime numbers.