A139955 Primes of the form 22x^2+22xy+23y^2.

23, 67, 163, 443, 463, 487, 683, 823, 863, 883, 907, 947, 1087, 1103, 1303, 1367, 1423, 1523, 1607, 1747, 1787, 2003, 2027, 2083, 2143, 2347, 2423, 2447, 2843, 2927, 2963, 3067, 3347, 3623, 3767, 3943, 4027, 4327, 4447, 4547, 4603, 4643

Offset

1,1

Comments

Discriminant=-1540. 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 {23, 67, 163, 207, 247, 267, 323, 443, 463, 487, 543, 603, 683, 687, 807, 823, 863, 883, 907, 947, 1087, 1103, 1247, 1303, 1367, 1387, 1423, 1467, 1523, 1527} (mod 1540).

Mathematica

QuadPrimes2[22, -22, 23, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(6000) | p mod 1540 in [23, 67, 163, 207, 247, 267, 323, 443, 463, 487, 543, 603, 683, 687, 807, 823, 863, 883, 907, 947, 1087, 1103, 1247, 1303, 1367, 1387, 1423, 1467, 1523, 1527]]; // Vincenzo Librandi, Aug 02 2012

Crossrefs

Sequence in context: A031376 A069173 A124716 * A126377 A136064 A142302

Adjacent sequences: A139952 A139953 A139954 * A139956 A139957 A139958

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Extensions

Corrected and extended b-file - Ray Chandler, Aug 01 2014

Status

approved