Sierpiński number
= Sierpiński number
{wiki=Sierpiński_number}
A Sierpiński number is a specific type of integer related to the properties of certain sequences in number theory. More formally, a Sierpiński number is a positive odd integer \\( k \\) such that: \\\[ k \\cdot 2^n + 1 \\\] is composite for all positive integers \\( n \\).