Prime powers that are equal to the sum of the first k prime powers (not including 1) for some k.

Terms

a(0) =2a(1) =5a(2) =9a(3) =29a(4) =49a(5) =137a(6) =281a(7) =359a(8) =449a(9) =1579a(10) =2029a(11) =2281a(12) =2677a(13) =5519a(14) =12527a(15) =13229a(16) =15451a(17) =17047a(18) =22409a(19) =24389a(20) =25931a(21) =29191a(22) =32687a(23) =42937a(24) =45757a(25) =53239a(26) =56443a(27) =59743a(28) =70201a(29) =81677