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 A093343 #38 Nov 22 2021 11:57:02 %S A093343 17,37,229,2029,14449,22501,25609,28909,32401,42061,57601,72901, %T A093343 116989,176401,181501,265261,304729,324901,378229,462409,497041, %U A093343 695581,804709,1089961,1299721,1416109,1664101,1742401,1932181,1971241,2712709,2873029,3062509,3186229 %N A093343 Primes of form (prime(n)^2 + prime(n+1)^2)/2. %C A093343 Except for the first term, all terms == 1 mod 6. - _Zak Seidov_, Dec 02 2009 %C A093343 Except 17, all terms == 1 mod 12. Primes of the form A028334(n+1)^2 + A024675(n)^2. - _Thomas Ordowski_, Jun 28 2013 %H A093343 Zak Seidov, <a href="/A093343/b093343.txt">Table of n, a(n) for n=1..1000</a> %F A093343 Conjecture: a(n) ~ A224888(n). - _Thomas Ordowski_, Jul 25 2013 %t A093343 Select[Mean/@Partition[Prime[Range[500]]^2,2,1],PrimeQ] (* _Harvey P. Dale_, Jun 16 2021 *) %Y A093343 Cf. A103739. %K A093343 nonn %O A093343 1,1 %A A093343 _Giovanni Teofilatto_, Apr 26 2004 %E A093343 Corrected and extended by _Rick L. Shepherd_, Nov 24 2004