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A139883 Primes of the form 6x^2+6xy+31y^2. 2
31, 43, 67, 103, 151, 211, 283, 367, 463, 571, 691, 739, 751, 811, 823, 859, 919, 967, 991, 1123, 1171, 1279, 1291, 1399, 1447, 1459, 1471, 1483, 1531, 1567, 1627, 1663, 1699, 1783, 1831, 1867, 1879, 1987, 1999, 2083, 2179, 2239, 2311, 2371, 2383 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Discriminant=-708. 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 {31, 43, 55, 67, 91, 103, 115, 151, 187, 211, 235, 247, 259, 283, 319, 367, 391, 415, 427, 451, 463, 511, 571, 583, 655, 667, 679, 691, 703} (mod 708).
MATHEMATICA
QuadPrimes2[6, -6, 31, 10000] (* see A106856 *)
PROG
(Magma) [ p: p in PrimesUpTo(4000) | p mod 708 in {31, 43, 55, 67, 91, 103, 115, 151, 187, 211, 235, 247, 259, 283, 319, 367, 391, 415, 427, 451, 463, 511, 571, 583, 655, 667, 679, 691, 703}]; // Vincenzo Librandi, Jul 30 2012
CROSSREFS
Sequence in context: A211549 A118637 A096163 * A060834 A060844 A112789
KEYWORD
nonn,easy
AUTHOR
T. D. Noe, May 02 2008
STATUS
approved

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Last modified April 13 12:47 EDT 2024. Contains 371641 sequences. (Running on oeis4.)