A140009 Primes of the form 24x^2+24xy+61y^2.

61, 109, 349, 541, 1069, 1381, 1429, 1669, 1789, 1861, 2221, 2389, 2749, 3109, 3181, 3229, 3541, 3709, 4021, 4549, 4861, 5101, 5749, 5821, 5869, 6421, 6661, 6709, 6949, 7069, 7669, 7741, 8269, 8389, 8461, 8821, 9181, 9349, 9781, 9829

Offset

1,1

Comments

Discriminant = -5280. 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 {61, 109, 349, 469, 541, 589, 901, 1069, 1141, 1261} (mod 1320).

Mathematica

QuadPrimes2[24, -24, 61, 10000] (* see A106856 *)

Prog

(Magma) [p: p in PrimesUpTo(12000) | p mod 1320 in [61, 109, 349, 469, 541, 589, 901, 1069, 1141, 1261]]; // Vincenzo Librandi, Aug 04 2012

Crossrefs

Sequence in context: A141301 A139898 A171836 * A197719 A140372 A142512

Adjacent sequences: A140006 A140007 A140008 * A140010 A140011 A140012

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved