Prime powers that are equal to the sum of the first k prime powers (including 1) for some k.

Terms

a(0) =1a(1) =3a(2) =79a(3) =163a(4) =499a(5) =947a(6) =1279a(7) =5297a(8) =6689a(9) =9629a(10) =10853a(11) =17467a(12) =21001a(13) =23887a(14) =25411a(15) =29761a(16) =32089a(17) =33289a(18) =47947a(19) =49429a(20) =55633a(21) =80687a(22) =84697a(23) =96157a(24) =116719a(25) =119159a(26) =126641a(27) =131783a(28) =136991a(29) =153371