A140012 Primes of the form 40x^2+40xy+43y^2.

43, 283, 307, 523, 547, 787, 1627, 1723, 1867, 1987, 2683, 3163, 3187, 3307, 3643, 3907, 4003, 4243, 4363, 4483, 4507, 5227, 5323, 5563, 5683, 5827, 6067, 6547, 6883, 6907, 7603, 7867, 7963, 8443, 8467, 8707, 8923, 9187, 9283, 9547, 9643

Offset

1,1

Comments

Discriminant=-5280. 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, 283, 307, 403, 523, 547, 667, 787, 1003, 1267} (mod 1320).

Mathematica

QuadPrimes2[40, -40, 43, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(11000) | p mod 1320 in {43, 283, 307, 403, 523, 547, 667, 787, 1003, 1267} ]; // Vincenzo Librandi, Aug 05 2012

Crossrefs

Sequence in context: A142632 A231226 A268259 * A123795 A364320 A346575

Adjacent sequences: A140009 A140010 A140011 * A140013 A140014 A140015

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved