A139995 Primes of the form 24x^2+24xy+41y^2.

41, 89, 521, 761, 881, 929, 1049, 1361, 1601, 1721, 1889, 2441, 2609, 2729, 3041, 3209, 3449, 3881, 4049, 4241, 4289, 4409, 4721, 4889, 5081, 5801, 6089, 6569, 6761, 7481, 7649, 8081, 8609, 9161, 9281, 9929, 10169, 10289, 10601, 11681

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

The primes are congruent to {41, 89, 209, 521, 689, 761} (mod 840).

Mathematica

QuadPrimes2[24, -24, 41, 10000] (* see A106856 *)

Prog

(Magma) [p: p in PrimesUpTo(12000) | p mod 840 in [41, 89, 209, 521, 689, 761]]; // Vincenzo Librandi, Aug 03 2012

Crossrefs

Sequence in context: A356246 A107145 A087857 * A044179 A044560 A039469

Adjacent sequences: A139992 A139993 A139994 * A139996 A139997 A139998

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved