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A139955 Primes of the form 22x^2+22xy+23y^2. 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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified April 21 10:45 EDT 2019. Contains 322328 sequences. (Running on oeis4.)