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 A153377 #14 Oct 04 2021 08:39:31
%S A153377 7,11,43,47,103,107,127,229,337,383,571,653,739,757,877,977,1097,1129,
%T A153377 1171,1223,1399,1511,2069,2137,2203,2333,2371,2411,2711,2713,3719,
%U A153377 4793,4831,5023,5059,5179,5483,5503,6007,6029,6829,6959,6971,7109,7219,7481
%N A153377 Larger of two consecutive prime numbers such that p1*p2*d + d = average of twin prime pairs, d (delta) = p2 - p1.
%C A153377 See A153376 for the corresponding lesser prime.
%H A153377 Amiram Eldar, <a href="/A153377/b153377.txt">Table of n, a(n) for n = 1..10000</a>
%e A153377 5*7*2 + 2 = 72 and 72 +- 1 are primes, so 7 is a term.
%e A153377 7*11*4 + 4 = 312 and 312 +- 1 are primes, so 11 is a term.
%t A153377 lst={};Do[p1=Prime[n];p2=Prime[n+1];d=p2-p1;a=p1*p2*d+d;If[PrimeQ[a-1]&&PrimeQ[a+1],AppendTo[lst,p2]],{n,7!}];lst
%Y A153377 Cf. A099349, A153374, A153375, A153376.
%K A153377 nonn
%O A153377 1,1
%A A153377 _Vladimir Joseph Stephan Orlovsky_, Dec 24 2008