Prime(k), where k is such that (1 + Sum_{i=1..k} prime(i)^13) / k is an integer.

Terms

a(0) =2a(1) =3a(2) =7a(3) =13a(4) =29a(5) =37a(6) =239a(7) =373a(8) =769a(9) =1531a(10) =2011a(11) =5003a(12) =11939a(13) =14557a(14) =14629a(15) =37361a(16) =204361a(17) =252431a(18) =289193a(19) =1403189a(20) =2201623a(21) =2299541a(22) =6287173a(23) =6734179a(24) =29155393a(25) =29235133a(26) =103558313a(27) =186122161a(28) =531627839a(29) =623579347