A139925 Primes of the form 12x^2+12xy+29y^2.

29, 53, 101, 173, 269, 389, 653, 677, 701, 797, 1013, 1109, 1277, 1301, 1613, 1637, 1733, 1901, 1949, 1973, 2141, 2213, 2237, 2357, 2549, 2837, 2861, 2909, 3221, 3389, 3461, 3533, 3701, 3797, 3821, 3917, 4013, 4133, 4157, 4229, 4397, 4421

Offset

1,1

Comments

Discriminant=-1248. See A139827 for more information.

Links

Vincenzo Librandi and Ray Chandler, Table of n, a(n) for n = 1..10000 [First 1000 terms from Vincenzo Librandi]

N. J. A. Sloane et al., Binary Quadratic Forms and OEIS (Index to related sequences, programs, references)

Formula

The primes are congruent to {29, 53, 77, 101, 173, 269} (mod 312).

Mathematica

QuadPrimes2[12, -12, 29, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(6000) | p mod 312 in [29, 53, 77, 101, 173, 269]]; // Vincenzo Librandi, Aug 01 2012

Crossrefs

Sequence in context: A124284 A054822 A034847 * A243439 A216497 A139877

Adjacent sequences: A139922 A139923 A139924 * A139926 A139927 A139928

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved