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 A348307 #22 Oct 25 2021 13:27:37
%S A348307 23,21383,26459,28643,111263,137339,217643,333563,342599,423323,
%T A348307 486023,540539,548519,567719,658943,671039,755663,829463,865499,
%U A348307 890063,903803,976883,1108259,1168523,1199183,1308383,1316699,1318379,1342403,1349423,1390199,1501583,1503059,1558079,1563119
%N A348307 Primes p such that (p-1)/2, (p-2)/3, 2*p+1, 3*p+2 are all prime numbers.
%C A348307 For (p-1)/2, those are the safe primes A005385.
%e A348307 23 is a term because: (23-1)/2 = 11, (23-2)/3 = 7, 2*23+1 = 47, 3*23+2 = 71, {23, 11, 7, 47, 71} are all prime numbers.
%t A348307 Select[Range[1, 1.5*10^6, 2], AllTrue[{#, (# - 1)/2, (# - 2)/3, 2*# + 1, 3*# + 2}, PrimeQ] &] (* _Amiram Eldar_, Oct 11 2021 *)
%o A348307 (PARI) isok(p) = iferr(isprime(p) && isprime((p-1)/2) && isprime((p-2)/3) && isprime(2*p+1) && isprime(3*p+2), E, 0); \\ _Michel Marcus_, Oct 11 2021
%Y A348307 Cf. A005385 (safe primes).
%Y A348307 Intersection of A005385 and A094524 and A005384 and A023208.
%K A348307 nonn
%O A348307 1,1
%A A348307 _Marc Morgenegg_, Oct 11 2021
%E A348307 More terms from _Michel Marcus_, Oct 11 2021