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 A255172 #14 Jul 24 2025 20:49:03 %S A255172 126,15190,15924,17180,23047,24410,33553,44049,51019,54358,74240, %T A255172 77460,102494,103168,128522,154518,156386,186056,232346,244086,250216, %U A255172 285095,291306,320942,447634,465803,477517,478415,508078,518164,518861,526764,587712,589208 %N A255172 Integers k such that A072473(k) = A072473(k+1) = A072473(k+2) = A072473(k+3). %C A255172 Corresponding values of A072473(k): 900, 188790, 199218, 216630, 297504, 316572, 446890, 599998, 702990, 752700, 1052898, 1101480, 1488444, 1498860. %H A255172 Andrew Howroyd, <a href="/A255172/b255172.txt">Table of n, a(n) for n = 1..1000</a> %o A255172 (PARI) { my(p=0, q=0, k=0, r=0); for(n=1, 1e6, p=nextprime(1+p); q=nextprime(1+nextprime(1+q)); my(t=q-p); if(t<>r, r=t; k=0); k++; if(k>=4, print1(n+1-k, ", "))) } \\ _Andrew Howroyd_, Nov 11 2018 %Y A255172 Cf. A072473, A072715, A255171. %K A255172 nonn %O A255172 1,1 %A A255172 _Zak Seidov_, Feb 15 2015 %E A255172 Terms a(19) and beyond from _Andrew Howroyd_, Nov 11 2018