prime sequence

An arithmetic progression of primes is a set of primes of the form p_1 + k d for fixed p_1 and d and consecutive k, i.e., {p_1, p_1 + d, p_1 + 2d, ...}. For example, 199, 409, 619, 829, 1039, 1249, 1459, 1669, 1879, 2089 is a 10-term arithmetic progression of primes with difference 210.

arithmetic progression | Cunningham chain | Dirichlet's theorem | Green-Tao theorem | k-tuple conjecture | Linnik's theorem | prime constellation | prime-generating polynomial | prime number theorem | prime quadruplet | Szemerédi's theorem | twin primes