Prime partial sums of pentagonal numbers with prime indices.

Terms

a(0) =5a(1) =17a(2) =4957a(3) =129277a(4) =2826443a(5) =3861083a(6) =5126483a(7) =9451573a(8) =19811083a(9) =53751743a(10) =68136617a(11) =98729003a(12) =264616831a(13) =388771421a(14) =498157871a(15) =608312141a(16) =682548511a(17) =779346653a(18) =918754301a(19) =1174179079a(20) =1700023891a(21) =2056298683a(22) =2149703411