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 A343683 #20 May 01 2021 22:22:32
%S A343683 29,83,389,1151,2293,2521,2699,2753,4831,7121,9857,12409,13679,24439,
%T A343683 25943,36083,43201,47317,49037,49069,49109,51829,51859,53717,61471,
%U A343683 64091,68449,70271,77047,87337,87911,90709,111109,113173,114577,117577,117889,118051,128549,134837,149533,172489
%N A343683 Primes p1 such that the sum of 9 consecutive primes, p1+p2+p3+p4+p5+p6+p7+p8+p9, and the three sums (p1+p2+p3), (p4+p5+p6), (p7+p8+p9) are all prime numbers.
%e A343683 n=1, p1=29:
%e A343683 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61 = 401,
%e A343683 29 + 31 + 37 = 97, 41 + 43 + 47 = 131, 53 + 59 + 61 = 173, all primes.
%t A343683 Select[Prime@Range@10000,And@@PrimeQ[Flatten@{Total[s=NextPrime[#,0~Range~8]],Total/@Partition[s,3]}]&] (* _Giorgos Kalogeropoulos_, Apr 26 2021 *)
%Y A343683 Cf. A082251 (primes that are the sum of 9 consecutive primes).
%K A343683 nonn
%O A343683 1,1
%A A343683 _Zak Seidov_, Apr 26 2021