A139917 Primes of the form 8x^2+35y^2.

43, 67, 107, 163, 347, 443, 547, 683, 827, 883, 907, 947, 1163, 1187, 1283, 1523, 1667, 1723, 1747, 1787, 2003, 2027, 2083, 2347, 2683, 2843, 2963, 3067, 3187, 3203, 3347, 3467, 3803, 3907, 4027, 4243, 4363, 4523, 4547, 4603, 4643, 5107

Offset

1,1

Comments

Discriminant=-1120. 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 {43, 67, 107, 123, 163, 267} (mod 280).

Mathematica

QuadPrimes2[8, 0, 35, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(6000) | p mod 280 in [43, 67, 107, 123, 163, 267]]; // Vincenzo Librandi, Aug 01 2012

Crossrefs

Sequence in context: A020349 A050959 A273773 * A146334 A039385 A043208

Adjacent sequences: A139914 A139915 A139916 * A139918 A139919 A139920

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved