This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A307470 #17 Apr 29 2019 21:12:17
%S A307470 2,281,25237,1359329,1603597,6706397,8300797,32106383,33262057,
%T A307470 33312781,37233373,57922687,87938423,124285471,143031971,144784201,
%U A307470 179684179,185763283,186515239,229240489,237863777,248536159,280322407,298010851,375529801,481405411,488236271,498472207
%N A307470 Intersection of A013917 and A013918.
%C A307470 For a number to be a term of this sequence it must satisfy two similar but distinct conditions:
%C A307470 1. The number is prime and is the sum of consecutive primes.
%C A307470 2. The sum of all primes up to and including the number is also a prime number.
%C A307470 See examples below.
%e A307470 2 is a term because 2 is prime and equals Sum_{2}. This is the trivial case.
%e A307470 281 is a term because 281 is prime and equals Sum_{2,3,...,41,43}, also Sum_{2,3,...,41,43,47,...,277,281} = 7699 which is also prime.
%o A307470 (PARI) listp(nn) = {my(s=0); forprime(p=2, nn, s += p; if (isprime(s), my(ss = 0); forprime(q=2, s, ss += q); if (isprime(ss), print1(s, ", "));););} \\ _Michel Marcus_, Apr 11 2019
%Y A307470 Cf. A013917, A013918.
%K A307470 nonn
%O A307470 1,1
%A A307470 _Torlach Rush_, Apr 09 2019
%E A307470 More terms from _Michel Marcus_, Apr 11 2019