A139966 - OEIS

A139966

Primes of the form 7x^2+66y^2.

7, 73, 241, 271, 409, 439, 601, 607, 769, 937, 1063, 1231, 1249, 1399, 1447, 1657, 1777, 1993, 2089, 2239, 2287, 2383, 2551, 2593, 2617, 2719, 2791, 2833, 3079, 3121, 3559, 3583, 3673, 3769, 3967, 4177, 4231, 4297, 4441, 4567, 4639, 4759

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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 {7, 73, 145, 241, 271, 391, 409, 439, 481, 535, 601, 607, 703, 745, 769, 871, 937, 943, 985, 1063, 1207, 1231, 1249, 1273, 1399, 1447, 1657, 1711, 1735, 1777, 1825} (mod 1848).

MATHEMATICA

QuadPrimes2[7, 0, 66, 10000] (* see A106856 *)

PROG

(Magma) [ p: p in PrimesUpTo(6000) | p mod 1848 in [7, 73, 145, 241, 271, 391, 409, 439, 481, 535, 601, 607, 703, 745, 769, 871, 937, 943, 985, 1063, 1207, 1231, 1249, 1273, 1399, 1447, 1657, 1711, 1735, 1777, 1825]]; // Vincenzo Librandi, Aug 02 2012

CROSSREFS

Sequence in context: A142053 A012049 A012158 * A175205 A373685 A027017

Adjacent sequences: A139963 A139964 A139965 * A139967 A139968 A139969

KEYWORD

nonn,easy

AUTHOR

T. D. Noe, May 02 2008

STATUS

approved