A139963 Primes of the form 2x^2+231y^2.

2, 233, 239, 263, 281, 359, 431, 569, 743, 809, 953, 1031, 1289, 1481, 1583, 1913, 2081, 2087, 2111, 2129, 2153, 2207, 2417, 2543, 2591, 2657, 2801, 2879, 2969, 3119, 3137, 3329, 3593, 3761, 3929, 4001, 4127, 4391, 4463, 4649, 4817, 4967

Offset

1,1

Comments

Discriminant=-1848. 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, 65, 95, 233, 239, 263, 281, 305, 359, 431, 527, 569, 695, 743, 767, 809, 953, 1031, 1073, 1121, 1271, 1289, 1415, 1481, 1535, 1583, 1625, 1649, 1745, 1751, 1817} (mod 1848).

Mathematica

QuadPrimes2[2, 0, 231, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(5000) | p mod 1848 in [2, 65, 95, 233, 239, 263, 281, 305, 359, 431, 527, 569, 695, 743, 767, 809, 953, 1031, 1073, 1121, 1271, 1289, 1415, 1481, 1535, 1583, 1625, 1649, 1745, 1751, 1817]]; // Vincenzo Librandi, Aug 02 2012

Crossrefs

Sequence in context: A012668 A012530 A057157 * A124046 A101146 A159280

Adjacent sequences: A139960 A139961 A139962 * A139964 A139965 A139966

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved