A139947 Primes of the form 17x^2+21y^2.

17, 89, 101, 257, 293, 353, 461, 509, 593, 761, 773, 797, 1097, 1109, 1181, 1277, 1301, 1361, 1613, 1721, 1889, 1973, 2141, 2393, 2609, 2729, 2789, 2957, 3041, 3209, 3449, 3617, 3821, 4133, 4157, 4217, 4241, 4373, 4637, 4793, 4877, 4973

Offset

1,1

Comments

Discriminant=-1428. 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 {17, 89, 101, 185, 257, 293, 341, 353, 461, 509, 545, 593, 689, 713, 761, 773, 797, 965, 1097, 1109, 1181, 1277, 1301, 1361, 1385} (mod 1428).

Mathematica

QuadPrimes2[17, 0, 21, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(6000) | p mod 1428 in [17, 89, 101, 185, 257, 293, 341, 353, 461, 509, 545, 593, 689, 713, 761, 773, 797, 965, 1097, 1109, 1181, 1277, 1301, 1361, 1385]]; // Vincenzo Librandi, Aug 02 2012

Crossrefs

Sequence in context: A276318 A282378 A248400 * A162930 A138338 A267820

Adjacent sequences: A139944 A139945 A139946 * A139948 A139949 A139950

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved