A139833 Primes of the form 2x^2+2xy+29y^2.

2, 29, 41, 53, 89, 113, 173, 257, 269, 281, 293, 317, 401, 449, 509, 521, 569, 641, 677, 773, 797, 857, 941, 953, 977, 1097, 1181, 1193, 1229, 1361, 1409, 1433, 1481, 1553, 1637, 1709, 1877, 1889, 1913, 1997, 2081, 2141, 2237, 2273, 2309, 2333

Offset

1,1

Comments

Discriminant=-228. 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 {2, 29, 41, 53, 65, 89, 113, 173, 185, 221} (mod 228).

Mathematica

QuadPrimes2[2, -2, 29, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(3000) | p mod 228 in {2, 29, 41, 53, 65, 89, 113, 173, 185, 221}]; // Vincenzo Librandi, Jul 29 2012

Crossrefs

Sequence in context: A180231 A141172 A285688 * A260792 A059700 A078329

Adjacent sequences: A139830 A139831 A139832 * A139834 A139835 A139836

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved