A140035 Primes of the form 12x^2+12xy+157y^2.

157, 181, 229, 397, 661, 829, 1021, 1237, 1741, 2029, 2341, 2677, 3037, 3853, 3877, 4093, 4261, 4357, 4933, 5197, 5437, 5701, 6037, 6229, 6373, 6733, 6781, 7549, 7573, 7621, 7789, 8053, 8221, 8581, 8629, 8893, 9133, 9397, 9421, 9733, 9901

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 {157, 181, 229, 397, 493, 565, 661, 685, 829, 1021, 1189, 1237, 1357, 1501, 1741} (mod 1848).

Mathematica

QuadPrimes2[12, -12, 157, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(12000) | p mod 1848 in {157, 181, 229, 397, 493, 565, 661, 685, 829, 1021, 1189, 1237, 1357, 1501, 1741} ]; // Vincenzo Librandi, Aug 06 2012

Crossrefs

Sequence in context: A096704 A178091 A178092 * A007356 A236537 A048927

Adjacent sequences: A140032 A140033 A140034 * A140036 A140037 A140038

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved