A140039 Primes of the form 28x^2+28xy+73y^2.

73, 241, 409, 601, 769, 937, 1249, 1657, 1777, 1993, 2089, 2593, 2617, 2833, 3121, 3673, 3769, 4177, 4297, 4441, 4969, 5521, 5689, 5953, 6481, 6529, 6793, 7321, 7369, 7537, 7873, 7993, 8161, 8329, 8377, 8641, 9049, 9649, 9721, 10009, 10177

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 {73, 145, 241, 409, 481, 601, 745, 769, 937, 985, 1249, 1273, 1657, 1777, 1825} (mod 1848).

Mathematica

QuadPrimes2[28, -28, 73, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(12000) | p mod 1848 in {73, 145, 241, 409, 481, 601, 745, 769, 937, 985, 1249, 1273, 1657, 1777, 1825} ]; // Vincenzo Librandi, Aug 06 2012

Crossrefs

Sequence in context: A296187 A142517 A158711 * A201715 A337848 A071392

Adjacent sequences: A140036 A140037 A140038 * A140040 A140041 A140042

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved