A140026 Primes of the form 35x^2+39y^2.

179, 191, 491, 599, 659, 911, 1031, 1439, 1499, 1871, 2339, 2531, 2591, 3119, 3299, 3371, 3539, 3719, 3851, 4211, 4391, 5279, 5399, 5639, 5651, 6491, 6659, 6899, 6959, 7151, 7211, 7331, 8219, 8831, 8999, 9311, 9851, 10091, 10271, 10739, 10859

Offset

1,1

Comments

Discriminant=-5460. 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 {179, 191, 491, 599, 659, 779, 911, 1031, 1199, 1271, 1439, 1499, 1691, 1751, 1871, 2279, 2291, 2339, 2531, 2591, 2759, 3119, 3299, 3371, 3431, 3539, 3719, 3851, 4211, 4391, 4559, 4631, 4811, 4859, 5279, 5399} (mod 5460).

Mathematica

QuadPrimes2[35, 0, 39, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(13000) | p mod 5460 in {179, 191, 491, 599, 659, 779, 911, 1031, 1199, 1271, 1439, 1499, 1691, 1751, 1871, 2279, 2291, 2339, 2531, 2591, 2759, 3119, 3299, 3371, 3431, 3539, 3719, 3851, 4211, 4391, 4559, 4631, 4811, 4859, 5279, 5399} ]; // Vincenzo Librandi, Aug 06 2012

Crossrefs

Sequence in context: A323742 A273550 A053017 * A108384 A217550 A226928

Adjacent sequences: A140023 A140024 A140025 * A140027 A140028 A140029

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved