A139967 Primes of the form 11x^2+42y^2.

11, 53, 179, 317, 389, 443, 653, 683, 947, 1061, 1373, 1499, 1523, 1709, 1787, 1901, 2003, 2027, 2069, 2237, 2333, 2381, 2531, 2699, 2843, 2909, 2963, 3221, 3347, 3371, 3389, 3413, 3557, 3677, 3851, 3917, 4013, 4019, 4139, 4211, 4229, 4349

Offset

1,1

Comments

Discriminant=-1848. 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 {11, 53, 155, 179, 221, 317, 323, 389, 443, 485, 515, 533, 653, 683, 779, 851, 947, 995, 1037, 1061, 1115, 1325, 1373, 1499, 1523, 1541, 1565, 1709, 1787, 1829, 1835} (mod 1848).

Mathematica

QuadPrimes2[11, 0, 42, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(6000) | p mod 1848 in [11, 53, 155, 179, 221, 317, 323, 389, 443, 485, 515, 533, 653, 683, 779, 851, 947, 995, 1037, 1061, 1115, 1325, 1373, 1499, 1523, 1541, 1565, 1709, 1787, 1829, 1835]]; // Vincenzo Librandi, Aug 02 2012

Crossrefs

Sequence in context: A093198 A207361 A093864 * A227965 A196468 A252833

Adjacent sequences: A139964 A139965 A139966 * A139968 A139969 A139970

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved