Partial sums of primes, but with a twist.

Terms

a(0) =5a(1) =23a(2) =53a(3) =101a(4) =359a(5) =487a(6) =631a(7) =1669a(8) =5407a(9) =6959a(10) =7517a(11) =8093a(12) =9341a(13) =10009a(14) =15427a(15) =17191a(16) =21011a(17) =26489a(18) =30089a(19) =32609a(20) =42281a(21) =45293a(22) =51683a(23) =56747a(24) =60251a(25) =73471a(26) =77509a(27) =79561a(28) =90197a(29) =101513