Prime(k), where k is such that (1 + Sum_{i=1..k} prime(i)^2) / k is an integer.

Terms

a(0) =2a(1) =3a(2) =5a(3) =7a(4) =13a(5) =23a(6) =37a(7) =41a(8) =101a(9) =107a(10) =197a(11) =317a(12) =1033a(13) =2029a(14) =2357a(15) =2473a(16) =2879a(17) =5987a(18) =6173a(19) =35437a(20) =56369a(21) =81769a(22) =195691a(23) =199457a(24) =793187a(25) =850027a(26) =1062931a(27) =1840453a(28) =2998421a(29) =4217771