A139936 Primes of the form 3x^2+115y^2.

3, 127, 163, 223, 307, 463, 487, 547, 607, 823, 883, 967, 1087, 1327, 1543, 1567, 1783, 1867, 1987, 2083, 2143, 2203, 2347, 2467, 2647, 2707, 2887, 3067, 3163, 3187, 3307, 3343, 3463, 3583, 3643, 3727, 3847, 4003, 4027, 4327, 4363, 4447

Offset

1,1

Comments

Discriminant=-1380. 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 {3, 127, 163, 187, 223, 307, 403, 427, 463, 487, 547, 583, 607, 703, 763, 823, 883, 967, 1087, 1243, 1267, 1327, 1363} (mod 1380).

Mathematica

QuadPrimes2[3, 0, 115, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(6000) | p mod 1380 in [3, 127, 163, 187, 223, 307, 403, 427, 463, 487, 547, 583, 607, 703, 763, 823, 883, 967, 1087, 1243, 1267, 1327, 1363]]; // Vincenzo Librandi, Aug 02 2012

Crossrefs

Sequence in context: A159319 A086154 A133122 * A221637 A142007 A339084

Adjacent sequences: A139933 A139934 A139935 * A139937 A139938 A139939

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved