A140040 Primes of the form 33x^2+56y^2.

89, 257, 353, 521, 881, 929, 1049, 1193, 1433, 1697, 1721, 2729, 2777, 2897, 3041, 3617, 3881, 4049, 4073, 4217, 4409, 4889, 5393, 5417, 5801, 5897, 6257, 6473, 6737, 6977, 7481, 7577, 7649, 8273, 9161, 9497, 10169, 10289, 10433, 10937

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 {89, 185, 257, 353, 377, 521, 713, 881, 929, 1049, 1193, 1433, 1697, 1721, 1769} (mod 1848).

Mathematica

QuadPrimes2[33, 0, 56, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(12000) | p mod 1848 in {89, 185, 257, 353, 377, 521, 713, 881, 929, 1049, 1193, 1433, 1697, 1721, 1769} ]; // Vincenzo Librandi, Aug 06 2012

Crossrefs

Sequence in context: A145821 A354284 A142655 * A008900 A238681 A320909

Adjacent sequences: A140037 A140038 A140039 * A140041 A140042 A140043

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved