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A139647 Primes of the form x^2 + 133*y^2. 3
137, 149, 197, 233, 277, 389, 457, 541, 557, 613, 617, 653, 701, 709, 757, 809, 821, 1033, 1061, 1201, 1213, 1289, 1297, 1373, 1429, 1453, 1493, 1597, 1621, 1733, 1873, 1901, 2053, 2069, 2129, 2137, 2153, 2213, 2221, 2297, 2381, 2417, 2437 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Discriminant=-532. See A139643 for more information.

The primes are congruent to {1, 9, 25, 81, 85, 93, 121, 137, 149, 169, 177, 197, 225, 233, 253, 277, 289, 305, 309, 365, 389, 429, 457, 473, 501, 505, 529} (mod 532).

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)

MATHEMATICA

QuadPrimes2[1, 0, 133, 10000] (* see A106856 *)

PROG

(MAGMA) [ p: p in PrimesUpTo(3000) | p mod 532 in {1, 9, 25, 81, 85, 93, 121, 137, 149, 169, 177, 197, 225, 233, 253, 277, 289, 305, 309, 365, 389, 429, 457, 473, 501, 505, 529}]; // Vincenzo Librandi, Jul 28 2012

(MAGMA) k:=133; [p: p in PrimesUpTo(3000) | NormEquation(k, p) eq true]; // Bruno Berselli, Jun 01 2016

CROSSREFS

Sequence in context: A138358 A138329 A066477 * A114645 A057879 A179912

Adjacent sequences:  A139644 A139645 A139646 * A139648 A139649 A139650

KEYWORD

nonn,easy

AUTHOR

T. D. Noe, Apr 29 2008

STATUS

approved

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Last modified October 21 14:32 EDT 2019. Contains 328301 sequences. (Running on oeis4.)