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 A176616 #26 May 03 2024 22:17:58 %S A176616 7,29,67,191,277,379,631,947,1129,1327,2017,2557,2851,4561,4951,5779, %T A176616 6217,8647,9181,12721,13367,14029,15401,16111,17579,20707,21529,22367, %U A176616 24091,24977,31627,36857,37951,42487,43661,44851,47279,53629,58997 %N A176616 Primes of the form x^2 + 7*y^2, where x and y=x+1 are consecutive natural numbers. %C A176616 Primes of the form 8*n^2+14*n+7 = (2*n+2)*(4*n+3)+1 = A000384(2*n+2)+1. - _Vincenzo Librandi_, Apr 25 2010 %H A176616 Harvey P. Dale, <a href="/A176616/b176616.txt">Table of n, a(n) for n = 1..1000</a> %t A176616 Select[Table[x^2+7(x+1)^2,{x,0,100}],PrimeQ] (* _Harvey P. Dale_, May 03 2024 *) %o A176616 (Magma) [ a: n in [0..250] | IsPrime(a) where a is 8*n^2+14*n+7 ] // _Vincenzo Librandi_, Apr 25 2010 %Y A176616 Cf. A176608. %Y A176616 A285790 is an almost identical sequence. %K A176616 nonn %O A176616 1,1 %A A176616 _Giovanni Teofilatto_, Apr 22 2010 %E A176616 Definition made more accurate by _R. J. Mathar_, May 04 2010 %E A176616 Corrected (inserted 7) and extended by _Vincenzo Librandi_, Apr 25 2010 %E A176616 Offset corrected by _Mohammed Yaseen_, May 20 2023