A139944 Primes of the form 6x^2+6xy+61y^2.

61, 73, 97, 181, 241, 313, 397, 601, 853, 997, 1153, 1321, 1489, 1609, 1669, 1693, 1741, 2029, 2113, 2281, 2341, 2749, 2833, 2917, 2953, 3037, 3121, 3169, 3253, 3373, 3457, 3541, 3709, 3769, 3853, 4177, 4261, 4273, 4357, 4549, 4597, 4801

Offset

1,1

Comments

Discriminant=-1428. 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 {61, 73, 97, 181, 241, 265, 313, 397, 481, 517, 601, 649, 685, 745, 853, 913, 997, 1081, 1153, 1321, 1333, 1357, 1405, 1417} (mod 1428).

Mathematica

QuadPrimes2[6, -6, 61, 10000] (* see A106856 *)

Prog

(Magma)[ p: p in PrimesUpTo(6000) | p mod 1428 in [61, 73, 97, 181, 241, 265, 313, 397, 481, 517, 601, 649, 685, 745, 853, 913, 997, 1081, 1153, 1321, 1333, 1357, 1405, 1417]]; // Vincenzo Librandi, Aug 02 2012

Crossrefs

Sequence in context: A180555 A039478 A109549 * A179012 A227980 A364662

Adjacent sequences: A139941 A139942 A139943 * A139945 A139946 A139947

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved