Prime(k), where k is such that (1 + Sum_{i=1..k} prime(i)^17) / k is an integer.

Terms

a(0) =2a(1) =3a(2) =7a(3) =13a(4) =29a(5) =37a(6) =641a(7) =853a(8) =2143a(9) =18059a(10) =26417a(11) =34283a(12) =48539a(13) =122597a(14) =146539a(15) =254831a(16) =8304757a(17) =19534651a(18) =26528699a(19) =32820527a(20) =47825363a(21) =82199141a(22) =124088207a(23) =312168289a(24) =409464961a(25) =464174839a(26) =1167927947a(27) =1393486043a(28) =1725361103a(29) =1879982849