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%I #17 Sep 08 2022 08:45:41
%S 43,53,71,97,131,173,223,281,347,421,503,593,691,797,911,1033,1163,
%T 1301,1447,1601,1933,2111,2297,2693,2903,3121,3347,3581,3823,4073,
%U 4597,4871,5153,5443,5741,6047,6361,7013,7351,8783,9161,9547,9941,10343,10753
%N Primes of the form 4*n^2+6*n+43.
%C 4*n^2+6*n+43 is a prime number for all n up to 19.
%C Subsequence of A005846. (Substitute n=2k+1 in the definition of A005846 to show this.) [_R. J. Mathar_, Feb 19 2009]
%H Vincenzo Librandi, <a href="/A156252/b156252.txt">Table of n, a(n) for n = 1..1000</a>
%H Vincenzo Librandi, <a href="http://mathforum.org/kb/message.jspa?messageID=310692">Prime Generating Polynomials</a>.
%t Select[Table[4*n^2+6*n+43,{n,0,700}],PrimeQ] (* _Vincenzo Librandi_, Jul 26 2012 *)
%o (Magma) [a: n in [0..100] | IsPrime(a) where a is 4*n^2+6*n+43 ]; // _Vincenzo Librandi_, Jul 26 2012
%K nonn,easy
%O 1,1
%A _Vincenzo Librandi_, Feb 07 2009
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