A139840 Primes of the form 6x^2+6xy+17y^2.

17, 29, 53, 89, 137, 197, 269, 353, 389, 401, 449, 461, 509, 557, 569, 641, 677, 761, 773, 797, 809, 821, 881, 929, 941, 953, 1013, 1049, 1097, 1109, 1181, 1193, 1277, 1301, 1481, 1553, 1697, 1877, 1889, 1913, 1949, 1997, 2069, 2129, 2213, 2297

Offset

1,1

Comments

Discriminant=-372. 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, 29, 53, 65, 77, 89, 137, 161, 185, 197, 209, 269, 305, 353, 365} (mod 372).

Mathematica

QuadPrimes2[6, -6, 17, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(3000) | p mod 372 in {17, 29, 53, 65, 77, 89, 137, 161, 185, 197, 209, 269, 305, 353, 365}]; // Vincenzo Librandi, Jul 29 2012

Crossrefs

Sequence in context: A110573 A190497 A259614 * A090796 A342820 A190556

Adjacent sequences: A139837 A139838 A139839 * A139841 A139842 A139843

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved