Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #16 Sep 08 2022 08:45:50
%S 0,1,2,3,4,6,7,8,9,11,12,13,16,17,19,21,22,23,24,26,29,31,32,33,34,36,
%T 37,38,39,48,49,53,54,56,58,59,61,62,63,64,66,71,77,78,79,82,83,84,86,
%U 88,93,96,99,104,106,108,114,116,118,119,122,123,129,134,136
%N Numbers n such that 5+38*n^2 is a prime.
%D Legendre, Adrien-Marie: Zahlentheorie, (Maser H. transl.), Teubner Verlag, Leipzig 1893, No. 253, p. 326f.
%H Bruno Berselli, <a href="/A173552/b173552.txt">Table of n, a(n) for n = 1..1000</a>
%t Select[Range[0,150],PrimeQ[5+38#^2]&] (* _Harvey P. Dale_, Dec 27 2012 *)
%o (Magma) [n: n in [0..300] | IsPrime(5+38*n^2)]; // _Vincenzo Librandi_, Mar 10 2010
%Y Cf. A173553, A173554 (associated primes), A173555.
%K nonn,easy
%O 1,3
%A _Vincenzo Librandi_, Feb 21 2010
%E Offset corrected and entries recomputed by _Alonso del Arte_ and _N. J. A. Sloane_, Jun 18 2010