Prime(n), where n is such that (1+Sum_{i=1..n} prime(i)^5) / n is an integer.

Terms

a(0) =2a(1) =3a(2) =7a(3) =13a(4) =29a(5) =37a(6) =79a(7) =271a(8) =907a(9) =2447a(10) =3301a(11) =4969a(12) =9241a(13) =26111a(14) =27941a(15) =38039a(16) =58603a(17) =90071a(18) =243469a(19) =617579a(20) =849143a(21) =6994363a(22) =10661177a(23) =68783413a(24) =122137849a(25) =131221879a(26) =187987693a(27) =194658539a(28) =283102597a(29) =329015387