A139910 Primes of the form 7x^2+39y^2.

7, 67, 151, 163, 331, 379, 463, 487, 499, 631, 739, 967, 1051, 1087, 1423, 1471, 1579, 1723, 1747, 1831, 2143, 2179, 2251, 2347, 2503, 2647, 2671, 2683, 2767, 3187, 3271, 3343, 3607, 3739, 3907, 3931, 4243, 4327, 4363, 4519, 4831, 4951

Offset

1,1

Comments

Discriminant=-1092. 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 {7, 67, 151, 163, 319, 331, 379, 463, 487, 499, 583, 631, 655, 739, 799, 967, 1003, 1051, 1087} (mod 1092).

Mathematica

QuadPrimes2[7, 0, 39, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(5000) | p mod 1092 in [7, 67, 151, 163, 319, 331, 379, 463, 487, 499, 583, 631, 655, 739, 799, 967, 1003, 1051, 1087]]; // Vincenzo Librandi, Jul 31 2012

Crossrefs

Sequence in context: A142786 A139783 A103102 * A250227 A250275 A240373

Adjacent sequences: A139907 A139908 A139909 * A139911 A139912 A139913

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved