A176783 Primes of the form 13*n^2+3*n+1

17, 59, 127, 487, 659, 857, 1607, 2237, 2591, 2971, 4751, 5261, 6359, 6947, 7561, 8867, 15131, 17909, 19891, 20921, 21977, 23059, 25301, 27647, 28859, 30097, 33967, 36677, 42409, 50159, 51787, 53441, 56827, 60317, 69497, 71411, 73351, 81371

Offset

1,1

Comments

If negative n are also admitted, the sequence changes to 11, 17, 47, 59, 109, 127, 197, 311,... [From R. J. Mathar, May 02 2010]

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Mathematica

 Select[Table[13*n^2+3*n+1, {n, 0, 300}], PrimeQ] (* Vincenzo Librandi, Jul 26 2012 *)

Prog

(Magma) [ a: n in [0..250] | IsPrime(a) where a is 13*n^2+3*n+1 ]

Crossrefs

Cf. A155152 (Numbers n such that 2*3^n-1 is prime)

Sequence in context: A141896 A104165 A031391 * A086816 A243096 A221569

Adjacent sequences: A176780 A176781 A176782 * A176784 A176785 A176786

Keyword

nonn,easy

Author

Vincenzo Librandi, Apr 26 2010

Status

approved