A140036 Primes of the form 21x^2+88y^2.

109, 277, 373, 541, 613, 877, 1117, 1381, 1429, 1597, 1789, 1933, 2053, 2221, 2389, 2437, 3109, 3229, 3637, 4813, 4957, 5077, 5653, 5749, 5821, 6133, 6421, 6661, 7333, 7477, 7669, 7933, 8269, 8821, 9181, 9349, 9613, 9781, 9829, 10357, 10501

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 {85, 109, 205, 277, 373, 541, 589, 613, 877, 1117, 1261, 1381, 1429, 1597, 1789} (mod 1848).

Mathematica

QuadPrimes2[21, 0, 88, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(12000) | p mod 1848 in {85, 109, 205, 277, 373, 541, 589, 613, 877, 1117, 1261, 1381, 1429, 1597, 1789} ]; // Vincenzo Librandi, Aug 06 2012

Crossrefs

Sequence in context: A142144 A193397 A193395 * A031419 A183349 A238682

Adjacent sequences: A140033 A140034 A140035 * A140037 A140038 A140039

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved