Prime partial sums of triangular numbers with prime indices.

Terms

a(0) =3a(1) =1759a(2) =3323a(3) =469303a(4) =605113a(5) =641969a(6) =1110587a(7) =1426669a(8) =11148289a(9) =18352349a(10) =20473721a(11) =21820391a(12) =24710753a(13) =30048589a(14) =36690923a(15) =40785301a(16) =97060681a(17) =155135369a(18) =160593239a(19) =168132247a(20) =361391623a(21) =377965069a(22) =416572171a(23) =645803201