A139895 Primes of the form 8x^2+29y^2.

29, 37, 61, 101, 157, 229, 269, 293, 317, 389, 421, 461, 541, 653, 677, 733, 757, 773, 797, 829, 853, 997, 1013, 1061, 1117, 1181, 1229, 1237, 1373, 1381, 1429, 1453, 1493, 1549, 1597, 1613, 1621, 1693, 1709, 1877, 1933, 2069, 2221, 2293, 2309

Offset

1,1

Comments

Discriminant=-928. 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 {21, 29, 37, 61, 69, 77, 85, 101, 133, 157, 189, 205, 213, 221, 229} (mod 232).

Mathematica

QuadPrimes2[8, 0, 29, 10000] (* see A106856 *)

Prog

(Magma) [p: p in PrimesUpTo(3000) | p mod 232 in [21, 29, 37, 61, 69, 77, 85, 101, 133, 157, 189, 205, 213, 221, 229]]; // Vincenzo Librandi, Jul 31 2012

Crossrefs

Sequence in context: A325058 A107134 A139851 * A304688 A341174 A167470

Adjacent sequences: A139892 A139893 A139894 * A139896 A139897 A139898

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved