A140038 Primes of the form 24x^2+24xy+83y^2.

83, 131, 227, 563, 1091, 1427, 1811, 1931, 1979, 2243, 2411, 2939, 3251, 3659, 3779, 3923, 4091, 4259, 4451, 4787, 5099, 5507, 5843, 5939, 6299, 6947, 6971, 7523, 7691, 8147, 8291, 8819, 9203, 9323, 9371, 9467, 9539, 9803, 10139, 10163

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 {83, 131, 227, 299, 395, 563, 635, 755, 899, 923, 1091, 1139, 1403, 1427, 1811} (mod 1848).

Mathematica

QuadPrimes2[24, -24, 83, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(12000) | p mod 1848 in {83, 131, 227, 299, 395, 563, 635, 755, 899, 923, 1091, 1139, 1403, 1427, 1811} ]; // Vincenzo Librandi, Aug 06 2012

Crossrefs

Sequence in context: A186465 A142409 A210527 * A260495 A165502 A126711

Adjacent sequences: A140035 A140036 A140037 * A140039 A140040 A140041

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved