A140032 Primes of the form 8x^2+231y^2.

239, 263, 359, 431, 743, 1031, 1583, 2087, 2111, 2207, 2543, 2591, 2879, 3119, 4127, 4391, 4463, 4967, 5231, 5279, 5639, 5783, 5807, 5903, 6287, 6311, 6959, 7079, 7127, 7487, 7823, 7919, 8087, 8423, 8663, 8807, 9479, 9767, 10007, 10271

Offset

1,1

Comments

Discriminant=-7392. 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 {95, 239, 263, 359, 431, 527, 695, 743, 767, 1031, 1271, 1415, 1535, 1583, 1751} (mod 1848).

Mathematica

QuadPrimes2[8, 0, 231, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(12000) | p mod 1848 in {95, 239, 263, 359, 431, 527, 695, 743, 767, 1031, 1271, 1415, 1535, 1583, 1751} ]; // Vincenzo Librandi, Aug 06 2012

Crossrefs

Sequence in context: A238602 A279274 A282812 * A289109 A247888 A243102

Adjacent sequences: A140029 A140030 A140031 * A140033 A140034 A140035

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved