a(n) is the smallest palindrome > a(n-1) such that a(1)+a(2)+...+a(n) is a prime.

Terms

a(0) =2a(1) =3a(2) =6a(3) =8a(4) =22a(5) =66a(6) =242a(7) =252a(8) =262a(9) =414a(10) =444a(11) =626a(12) =676a(13) =686a(14) =808a(15) =2442a(16) =2552a(17) =2992a(18) =4664a(19) =4884a(20) =6006a(21) =6226a(22) =6666a(23) =8228a(24) =20202a(25) =20302a(26) =20402a(27) =40204a(28) =40304a(29) =60606