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A139664 Primes of the form x^2 + 760*y^2. 2
761, 769, 809, 881, 929, 1049, 1201, 1289, 1489, 1601, 1721, 2129, 2281, 2441, 2609, 2969, 3041, 3049, 3089, 3121, 3209, 3329, 3361, 3769, 3881, 4001, 4129, 4241, 4409, 4481, 4561, 4721, 4729, 4889, 5441, 5521, 5641, 5801, 5849, 6089 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Discriminant = -3040. See A139643 for more information.

The primes are congruent to {1, 9, 49, 81, 121, 161, 169, 201, 289, 321, 329, 441, 481, 529, 609, 681, 689, 729} (mod 760).

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, 760, 10000] (* see A106856 *)

PROG

(MAGMA) [ p: p in PrimesUpTo(7000) | p mod 760 in {1, 9, 49, 81, 121, 161, 169, 201, 289, 321, 329, 441, 481, 529, 609, 681, 689, 729}]; // Vincenzo Librandi, Jul 29 2012

(MAGMA) k:=760; [p: p in PrimesUpTo(6100) | NormEquation(k, p) eq true]; // Bruno Berselli, Jun 01 2016

CROSSREFS

Sequence in context: A107515 A151588 A141144 * A160033 A083642 A083643

Adjacent sequences:  A139661 A139662 A139663 * A139665 A139666 A139667

KEYWORD

nonn,easy

AUTHOR

T. D. Noe, Apr 29 2008

STATUS

approved

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Last modified September 15 14:49 EDT 2019. Contains 327078 sequences. (Running on oeis4.)