Primes that are equal to the sum of the first k proper prime powers for some k.

Terms

a(0) =37a(1) =89a(2) =3391a(3) =6547a(4) =10271a(5) =20233a(6) =88397a(7) =2256827a(8) =6160597a(9) =11073263a(10) =14337313a(11) =15797057a(12) =18938809a(13) =24514339a(14) =28298057a(15) =29442893a(16) =33119963a(17) =40078453a(18) =118950121a(19) =128935063a(20) =135825923a(21) =154641481a(22) =209301217a(23) =244837321a(24) =342462997a(25) =471596659a(26) =498175681