A140041 Primes of the form 43x^2+2xy+43y^2.

43, 211, 547, 571, 739, 1051, 1579, 1723, 2251, 2683, 2851, 3187, 3571, 3691, 3739, 3907, 4099, 4243, 4363, 5419, 6091, 6211, 6379, 6547, 6619, 6883, 7603, 7963, 8059, 8443, 8467, 8731, 8971, 9283, 9643, 9787, 9811, 9907, 10243, 11083, 11131

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 {43, 211, 403, 547, 571, 667, 739, 835, 1003, 1051, 1075, 1339, 1579, 1723, 1843} (mod 1848).

Mathematica

Union[QuadPrimes2[43, 2, 43, 10000], QuadPrimes2[43, -2, 43, 10000]] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(12000) | p mod 1848 in {43, 211, 403, 547, 571, 667, 739, 835, 1003, 1051, 1075, 1339, 1579, 1723, 1843} ]; // Vincenzo Librandi, Aug 06 2012

Crossrefs

Sequence in context: A142161 A193144 A142659 * A264821 A013307 A043375

Adjacent sequences: A140038 A140039 A140040 * A140042 A140043 A140044

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved