login
A140023
Primes of the form 21x^2+65y^2.
1
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
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
KEYWORD
nonn,easy
AUTHOR
T. D. Noe, May 02 2008
STATUS
approved