Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
A139987
Primes of the form 7x^2+120y^2.
1
7, 127, 463, 487, 823, 967, 1087, 1303, 1327, 1423, 1663, 2143, 2503, 2647, 2767, 3343, 3607, 3823, 3847, 3943, 4327, 4447, 4663, 4783, 5023, 5167, 5503, 5527, 5623, 6007, 6343, 6367, 6703, 6967, 7207, 7687, 8527, 8647, 8863, 8887, 10567
OFFSET
1,1
COMMENTS
Discriminant=-3360. 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
Except for 7, the primes are congruent to {127, 247, 463, 487, 583, 823} (mod 840).
MATHEMATICA
QuadPrimes2[7, 0, 120, 10000] (* see A106856 *)
PROG
(Magma) [7] cat [p: p in PrimesUpTo(11000) | p mod 840 in [127, 247, 463, 487, 583, 823]]; // Vincenzo Librandi, Aug 03 2012
CROSSREFS
Sequence in context: A084940 A246648 A308378 * A061744 A256146 A053716
KEYWORD
nonn,easy
AUTHOR
T. D. Noe, May 02 2008
STATUS
approved