A139931 Primes of the form 6x^2+55y^2.

61, 79, 109, 151, 271, 349, 439, 541, 919, 1069, 1231, 1381, 1399, 1429, 1471, 1669, 1759, 1789, 1861, 1999, 2221, 2239, 2389, 2551, 2719, 2749, 2791, 3079, 3109, 3181, 3229, 3319, 3511, 3541, 3559, 3709, 4021, 4111, 4231, 4549, 4639, 4759

Offset

1,1

Comments

Discriminant=-1320. 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 {61, 79, 109, 151, 271, 349, 391, 439, 469, 541, 589, 679, 799, 871, 901, 919, 1069, 1141, 1231, 1261} (mod 1320).

Mathematica

QuadPrimes2[6, 0, 55, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(6000) | p mod 1320 in [61, 79, 109, 151, 271, 349, 391, 439, 469, 541, 589, 679, 799, 871, 901, 919, 1069, 1141, 1231, 1261]]; // Vincenzo Librandi, Aug 02 2012

Crossrefs

Sequence in context: A118162 A217076 A281960 * A325076 A353598 A253232

Adjacent sequences: A139928 A139929 A139930 * A139932 A139933 A139934

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved