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 A329578 #23 Feb 28 2025 05:55:44
%S A329578 3565931,3653863,3985903,5425613,5647361,6126971,6292081,6532553,
%T A329578 7133983,7360363,7389493,7700131,7865833,7956163,8467903,8708291,
%U A329578 8972701,9203743,9603361,9863551,10279813,10971743,11998391,12225251,12474251,12620843,12966881,13288211,13376261,13543451
%N A329578 First of three consecutive primes with common gap 48.
%H A329578 Amiram Eldar, <a href="/A329578/b329578.txt">Table of n, a(n) for n = 1..10000</a>
%H A329578 OEIS Wiki, <a href="/wiki/Consecutive_primes_in_arithmetic_progression#CPAP_with_given_gap">Consecutive primes in arithmetic progression</a>, updated Jan. 2020.
%t A329578 Select[Partition[Prime[Range[900000]],3,1],Differences[#]=={48,48}&] [[All,1]] (* _Harvey P. Dale_, Aug 23 2021 *)
%o A329578 (PARI) vecextract( A134123, select(t->t==48, A134123[^1]-A134123[^-1], 1)) \\ Terms of A134123 with indices corresponding to first differences of 48: gives a(1..56) from A134123(1..10^4).
%o A329578 (Magma) [p:p in PrimesUpTo(14000000)| NextPrime(p)-p eq 48 and NextPrime(p+48)-p eq 96]; // _Marius A. Burtea_, Jan 03 2020
%Y A329578 Subsequence of A134123 (first of two primes with common gap 48).
%Y A329578 A067388 (first of four primes with common gap 48) is a subsequence.
%Y A329578 Cf. A047948, A052188, A052189, A052190, A052195, A052197, A052198, A089234 (analog for gaps 2, 4, 6, 12, 18, 24, ..., 60).
%K A329578 nonn
%O A329578 1,1
%A A329578 _M. F. Hasler_, Jan 02 2020