A139986 Primes of the form 5x^2+168y^2.

5, 173, 293, 677, 773, 797, 1013, 1277, 1613, 1637, 1973, 2357, 2477, 2693, 2957, 3533, 3797, 4133, 4157, 4373, 4493, 4637, 4877, 4973, 5333, 5477, 5717, 5813, 6053, 6173, 6317, 6653, 7013, 7517, 7853, 8237, 8573, 8693, 8837, 9173, 9413

Offset

1,1

Comments

Discriminant=-3360. 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

Except for 5, the primes are congruent to {173, 293, 437, 677, 773, 797} (mod 840).

Mathematica

QuadPrimes2[5, 0, 168, 10000] (* see A106856 *)

Prog

(Magma) [5] cat [p: p in PrimesUpTo(10000) | p mod 840 in [173, 293, 437, 677, 773, 797]]; // Vincenzo Librandi, Aug 03 2012

Crossrefs

Sequence in context: A220640 A198711 A210927 * A354573 A123111 A346541

Adjacent sequences: A139983 A139984 A139985 * A139987 A139988 A139989

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved