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 A098029 #23 Jul 10 2025 11:04:03 %S A098029 7,23,37,47,67,73,233,277,353,479,613,631,647,809,1097,1283,1297,1433, %T A098029 1453,1471,1493,1607,1613,1663,1709,1721,1783,1867,1889,1901,1931, %U A098029 1993,2099,2137,2161,2377,2383,2411,2521,2621,2683,2693,2713,2797,2879,3049 %N A098029 Primes of the form (prime(k)+ prime(k+3))/2. %C A098029 The union of {7}, A119381 and A117876. - _Irina Gerasimova_, Jul 11 2013 %H A098029 Harvey P. Dale, <a href="/A098029/b098029.txt">Table of n, a(n) for n = 1..1000</a> %e A098029 prime(2)=3, prime(2+3)=11. (3+11)/2 = 7 %t A098029 Select[(#[[1]]+#[[4]])/2&/@Partition[Prime[Range[500]],4,1],PrimeQ] (* _Harvey P. Dale_, Nov 30 2017 *) %o A098029 (PARI) f(n,m) = for(x=1,n,y=prime(x)+prime(x+m);if(y%2==0 & isprime(y\2), print1(y\2","))) %K A098029 easy,nonn %O A098029 1,1 %A A098029 _Cino Hilliard_, Sep 10 2004