A139953 Primes of the form 11x^2+35y^2.

11, 79, 151, 211, 239, 359, 431, 491, 571, 659, 739, 919, 1019, 1031, 1051, 1451, 1471, 1579, 1619, 1759, 1999, 2111, 2251, 2339, 2459, 2591, 2851, 2879, 3011, 3119, 3299, 3319, 3511, 3539, 3571, 3691, 3739, 4099, 4111, 4391, 4831, 5051

Offset

1,1

Comments

Discriminant=-1540. 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 {11, 39, 51, 79, 151, 211, 219, 239, 351, 359, 431, 459, 491, 519, 571, 611, 659, 711, 739, 799, 879, 919, 1019, 1031, 1051, 1271, 1311, 1339, 1359, 1451, 1471} (mod 1540).

Mathematica

QuadPrimes2[11, 0, 35, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(6000) | p mod 1540 in [11, 39, 51, 79, 151, 211, 219, 239, 351, 359, 431, 459, 491, 519, 571, 611, 659, 711, 739, 799, 879, 919, 1019, 1031, 1051, 1271, 1311, 1339, 1359, 1451, 1471]]; // Vincenzo Librandi, Aug 02 2012

Crossrefs

Sequence in context: A239437 A140542 A101983 * A111067 A172067 A026841

Adjacent sequences: A139950 A139951 A139952 * A139954 A139955 A139956

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved