A139942 Primes of the form 2x^2+2xy+179y^2.

2, 179, 191, 239, 263, 359, 443, 491, 599, 659, 863, 1019, 1103, 1283, 1583, 1607, 1619, 1667, 1787, 1871, 2027, 2039, 2087, 2423, 2447, 2531, 2699, 2711, 2843, 3011, 3119, 3299, 3347, 3467, 3623, 3719, 3851, 4127, 4139, 4271, 4463, 4523

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 {2, 155, 179, 191, 239, 263, 359, 407, 443, 491, 599, 611, 659, 695, 767, 851, 863, 995, 1019, 1079, 1103, 1199, 1271, 1283, 1415} (mod 1428).

Mathematica

QuadPrimes2[2, -2, 179, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(6000) | p mod 1428 in [2, 155, 179, 191, 239, 263, 359, 407, 443, 491, 599, 611, 659, 695, 767, 851, 863, 995, 1019, 1079, 1103, 1199, 1271, 1283, 1415]]; // Vincenzo Librandi, Aug 02 2012

Crossrefs

Sequence in context: A219724 A103427 A216355 * A349748 A239548 A272237

Adjacent sequences: A139939 A139940 A139941 * A139943 A139944 A139945

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved