A140042 Primes of the form 44x^2+44xy+53y^2.

53, 317, 389, 653, 1061, 1373, 1709, 1901, 2069, 2237, 2333, 2381, 2909, 3221, 3389, 3413, 3557, 3677, 3917, 4013, 4229, 4349, 4733, 5021, 5237, 5261, 5861, 6029, 6197, 6581, 6869, 6917, 7109, 7253, 7877, 8429, 8933, 9221, 9293, 9461

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 {53, 221, 317, 389, 485, 533, 653, 1037, 1061, 1325, 1373, 1541, 1565, 1709, 1829} (mod 1848).

Mathematica

QuadPrimes2[44, -44, 53, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(12000) | p mod 1848 in {53, 221, 317, 389, 485, 533, 653, 1037, 1061, 1325, 1373, 1541, 1565, 1709, 1829} ]; // Vincenzo Librandi, Aug 06 2012

Crossrefs

Sequence in context: A155700 A108878 A096325 * A239747 A261335 A174441

Adjacent sequences: A140039 A140040 A140041 * A140043 A140044 A140045

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved