A140023 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

A140023

Primes of the form 21x^2+65y^2.

149, 281, 401, 449, 821, 1061, 1229, 1289, 1409, 1709, 2069, 2381, 2741, 2801, 2969, 3089, 3581, 4349, 4649, 5189, 5441, 5741, 5861, 6329, 6521, 6689, 6701, 6869, 7001, 7109, 7529, 7841, 7949, 8429, 9041, 9209, 9521, 10301, 10889, 11069

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Discriminant=-5460. 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 {149, 281, 401, 449, 821, 869, 1061, 1229, 1241, 1289, 1409, 1541, 1649, 1709, 1961, 2069, 2321, 2381, 2489, 2501, 2741, 2801, 2969, 3089, 3161, 3581, 3749, 4061, 4181, 4349, 4649, 4769, 4841, 5189, 5429, 5441} (mod 5460).

MATHEMATICA

QuadPrimes2[21, 0, 65, 10000] (* see A106856 *)

PROG

(Magma) [ p: p in PrimesUpTo(13000) | p mod 5460 in {149, 281, 401, 449, 821, 869, 1061, 1229, 1241, 1289, 1409, 1541, 1649, 1709, 1961, 2069, 2321, 2381, 2489, 2501, 2741, 2801, 2969, 3089, 3161, 3581, 3749, 4061, 4181, 4349, 4649, 4769, 4841, 5189, 5429, 5441} ]; // Vincenzo Librandi, Aug 06 2012

CROSSREFS

Sequence in context: A142825 A127592 A107176 * A105843 A131573 A346891

Adjacent sequences: A140020 A140021 A140022 * A140024 A140025 A140026

KEYWORD

nonn,easy

AUTHOR

T. D. Noe, May 02 2008

STATUS

approved