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A139649 Primes of the form x^2 + 177*y^2. 3
181, 193, 241, 277, 373, 433, 577, 661, 709, 733, 757, 829, 853, 877, 997, 1069, 1201, 1237, 1549, 1597, 1609, 1621, 1657, 1669, 1693, 1777, 1789, 1933, 1993, 2113, 2269, 2293, 2377, 2389, 2557, 2617, 2677, 2749, 2833, 2857, 2917, 2953 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Discriminant = -708.

The primes are congruent to {1, 25, 49, 85, 121, 133, 145, 169, 181, 193, 205, 241, 253, 265, 277, 289, 361, 373, 433, 481, 493, 517, 529, 553, 577, 625, 661, 685, 697} (mod 708).

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, 177, 10000] (* see A106856 *)

PROG

(MAGMA) [ p: p in PrimesUpTo(4000) | p mod 708 in {1, 25, 49, 85, 121, 133, 145, 169, 181, 193, 205, 241, 253, 265, 277, 289, 361, 373, 433, 481, 493, 517, 529, 553, 577, 625, 661, 685, 697}]; // Vincenzo Librandi, Jul 28 2012

(MAGMA) k:=177; [p: p in PrimesUpTo(3000) | NormEquation(k, p) eq true]; // Bruno Berselli, Jun 01 2016

CROSSREFS

Sequence in context: A175789 A157747 A253156 * A159263 A159548 A206281

Adjacent sequences:  A139646 A139647 A139648 * A139650 A139651 A139652

KEYWORD

nonn,easy

AUTHOR

T. D. Noe, Apr 29 2008

STATUS

approved

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Last modified July 20 11:28 EDT 2019. Contains 325180 sequences. (Running on oeis4.)