A139661 Primes of the form x^2 + 408*y^2.

409, 433, 457, 577, 769, 937, 1033, 1249, 1657, 1753, 1777, 1801, 1993, 2089, 2161, 2473, 2593, 2617, 2857, 3001, 3217, 3313, 3433, 3673, 3697, 3793, 3889, 4129, 4201, 4297, 4441, 4513, 4657, 5113, 5449, 5521, 5737, 5857, 5881, 6073, 6121

Offset

1,1

Comments

Discriminant = -1632. See A139643 for more information.

The primes are congruent to {1, 25, 49, 121, 145, 169, 217, 361} (mod 408).

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)

Mathematica

QuadPrimes2[1, 0, 408, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(7000) | p mod 408 in {1, 25, 49, 121, 145, 169, 217, 361}]; // Vincenzo Librandi, Jul 29 2012
(Magma) */ k:=408; [p: p in PrimesUpTo(7000) | NormEquation(k, p) eq true]; // Bruno Berselli, Jun 01 2016

Crossrefs

Sequence in context: A255797 A345544 A345797 * A212604 A316934 A052354

Adjacent sequences: A139658 A139659 A139660 * A139662 A139663 A139664

Keyword

nonn,easy

Author

T. D. Noe, Apr 29 2008

Status

approved