A139989 Primes of the form 8x^2+8xy+107y^2.

107, 347, 443, 683, 827, 947, 1163, 1187, 1283, 1523, 1667, 1787, 2003, 2027, 2843, 2963, 3203, 3347, 3467, 3803, 4523, 4547, 4643, 5147, 5387, 5483, 5867, 5987, 6203, 6323, 6563, 6827, 7043, 7547, 7883, 7907, 8243, 8387, 8747, 9227, 9587

Offset

1,1

Comments

Discriminant=-3360. 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 {107, 323, 347, 443, 683, 827} (mod 840).

Mathematica

QuadPrimes2[8, -8, 107, 10000] (* see A106856 *)

Prog

(Magma) [p: p in PrimesUpTo(11000) | p mod 840 in [107, 323, 347, 443, 683, 827]]; // Vincenzo Librandi, Aug 03 2012

Crossrefs

Sequence in context: A238669 A142018 A106948 * A059699 A142421 A183847

Adjacent sequences: A139986 A139987 A139988 * A139990 A139991 A139992

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved