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A139942 Primes of the form 2x^2+2xy+179y^2. 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 (list; graph; refs; listen; history; text; internal format)
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 * A239548 A272237 A094221

Adjacent sequences:  A139939 A139940 A139941 * A139943 A139944 A139945

KEYWORD

nonn,easy

AUTHOR

T. D. Noe, May 02 2008

STATUS

approved

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Last modified January 19 14:53 EST 2020. Contains 331049 sequences. (Running on oeis4.)