A092968 - OEIS

%I #24 Sep 08 2022 08:45:13

%S 0,1,2,3,4,5,6,7,8,9,10,13,15,16,18,19,20,23,24,28,29,30,31,37,41,42,

%T 43,46,49,50,52,54,60,62,63,65,69,70,71,75,83,85,87,91,94,95,96,98,

%U 100,106,108,109,114,123,124,128,130,134,136,137,139,145,146,151,152,153,158

%N Numbers n such that 2n^2 + 11 is a prime.

%H Vincenzo Librandi and Zak Seidov, <a href="/A092968/b092968.txt">Table of n, a(n) for n = 1..10000</a> (First 1000 terms from Vincenzo Librandi.)

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Prime-GeneratingPolynomial.html">Prime-Generating Polynomial</a>

%F a(n) = sqrt((A050265(n)-11)/2). - _Zak Seidov_, Jul 25 2015

%t Select[Range[0, 200], PrimeQ[2#^2+11]&]

%o (Magma) [n: n in [1..160] | IsPrime(2*n^2 + 11)]; // _Vincenzo Librandi_, Dec 04 2012

%Y Cf. A050265.

%K nonn,easy

%O 1,3

%A _Giovanni Teofilatto_, Apr 20 2004

%E More terms from _T. D. Noe_, Dec 31 2004