A156252 Primes of the form 4*n^2+6*n+43.

43, 53, 71, 97, 131, 173, 223, 281, 347, 421, 503, 593, 691, 797, 911, 1033, 1163, 1301, 1447, 1601, 1933, 2111, 2297, 2693, 2903, 3121, 3347, 3581, 3823, 4073, 4597, 4871, 5153, 5443, 5741, 6047, 6361, 7013, 7351, 8783, 9161, 9547, 9941, 10343, 10753

Offset: 1

Author

Vincenzo Librandi, Feb 07 2009

Keywords

• nonn
• easy

Comments

4*n^2+6*n+43 is a prime number for all n up to 19.

Subsequence of A005846. (Substitute n=2k+1 in the definition of A005846 to show this.) [R. J. Mathar, Feb 19 2009]

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..1000
• Vincenzo Librandi, Prime Generating Polynomials.

Programs

Magma

[a: n in [0..100] | IsPrime(a) where a is 4*n^2+6*n+43 ]; // Vincenzo Librandi, Jul 26 2012

Mathematica

Select[Table[4*n^2+6*n+43,{n,0,700}],PrimeQ] (* Vincenzo Librandi, Jul 26 2012 *)