A140037 Primes of the form 24x^2+77y^2.

101, 173, 293, 461, 677, 941, 1613, 1949, 2141, 2309, 2477, 2789, 3461, 3533, 3797, 3989, 4133, 4157, 4373, 4637, 5309, 5381, 5477, 5717, 5981, 6173, 6221, 7013, 7229, 7829, 7853, 8069, 8741, 8861, 9173, 9341, 9413, 9533, 9677, 10181, 10589

Offset

1,1

Comments

Discriminant=-7392. 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 {101, 173, 293, 437, 461, 629, 677, 941, 965, 1349, 1469, 1517, 1613, 1685, 1781} (mod 1848).

Mathematica

QuadPrimes2[24, 0, 77, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(12000) | p mod 1848 in {101, 173, 293, 437, 461, 629, 677, 941, 965, 1349, 1469, 1517, 1613, 1685, 1781} ]; // Vincenzo Librandi, Aug 06 2012

Crossrefs

Sequence in context: A123037 A142012 A067860 * A107209 A076613 A045978

Adjacent sequences: A140034 A140035 A140036 * A140038 A140039 A140040

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved