A139838 Primes of the form 8x^2+8xy+13y^2.

13, 29, 61, 101, 109, 149, 173, 197, 277, 293, 349, 373, 461, 541, 557, 613, 677, 701, 733, 821, 853, 877, 941, 997, 1069, 1117, 1229, 1381, 1429, 1493, 1597, 1613, 1669, 1693, 1733, 1789, 1861, 1877, 1933, 1949, 1997, 2053, 2141, 2213, 2221, 2309

Offset

1,1

Comments

Discriminant=-352. 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 {13, 21, 29, 61, 85} (mod 88).

Mathematica

QuadPrimes2[8, -8, 13, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(3000) | p mod 88 in {13, 21, 29, 61, 85}]; // Vincenzo Librandi, Jul 29 2012

Crossrefs

Sequence in context: A146743 A065546 A075636 * A217197 A141196 A269785

Adjacent sequences: A139835 A139836 A139837 * A139839 A139840 A139841

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved