A139969 Primes of the form 21x^2+22y^2.

43, 109, 211, 277, 373, 541, 547, 571, 613, 739, 877, 1051, 1117, 1381, 1429, 1579, 1597, 1723, 1789, 1933, 2053, 2221, 2251, 2389, 2437, 2683, 2851, 3109, 3187, 3229, 3571, 3637, 3691, 3739, 3907, 4099, 4243, 4363, 4813, 4957, 5077, 5419

Offset

1,1

Comments

Discriminant=-1848. 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 {43, 85, 109, 205, 211, 277, 373, 403, 541, 547, 571, 589, 613, 667, 739, 835, 877, 1003, 1051, 1075, 1117, 1261, 1339, 1381, 1429, 1579, 1597, 1723, 1789, 1843} (mod 1848).

Mathematica

QuadPrimes2[21, 0, 22, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(6000) | p mod 1848 in [43, 85, 109, 205, 211, 277, 373, 403, 541, 547, 571, 589, 613, 667, 739, 835, 877, 1003, 1051, 1075, 1117, 1261, 1339, 1381, 1429, 1579, 1597, 1723, 1789, 1843]]; // Vincenzo Librandi, Aug 02 2012

Crossrefs

Sequence in context: A294717 A001133 A292578 * A142055 A052088 A068699

Adjacent sequences: A139966 A139967 A139968 * A139970 A139971 A139972

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved