A093012 Numbers k such that prime(k) == 3 (mod 16).

2, 8, 19, 23, 32, 38, 41, 47, 49, 63, 81, 91, 95, 101, 103, 117, 120, 125, 131, 138, 153, 161, 182, 188, 193, 195, 208, 225, 232, 241, 248, 256, 262, 266, 272, 280, 292, 300, 304, 314, 317, 321, 327, 334, 346, 351, 365, 370, 376, 385, 394, 409, 410, 414, 427

Offset

1,1

Comments

A091968 indexed by A000040.

The asymptotic density of this sequence is 1/8 (by Dirichlet's theorem). - Amiram Eldar, Mar 01 2021

Links

G. C. Greubel, Table of n, a(n) for n = 1..5000

Formula

A000040(a(n)) = A091968(n).

a(n) = A000720(A091968(n)).

Mathematica

Select[Range[430], Mod[Prime[ # ], 16] == 3 &] (* Ray Chandler, Nov 06 2006 *)

Prog

(Magma) [n: n in [1..450]|(NthPrime(n) mod 16) eq 3] // G. C. Greubel, Feb 05 2019
(PARI) {isok(n) = Mod(prime(n), 16)==3};
for(n=1, 450, if(isok(n)==1, print1(n, ", "), 0)) \\ G. C. Greubel, Feb 05 2019

Crossrefs

Cf. A000040, A000720, A091968, A092022.

Sequence in context: A183183 A072675 A033711 * A049525 A286263 A236327

Adjacent sequences: A093009 A093010 A093011 * A093013 A093014 A093015

Keyword

nonn

Author

Ray Chandler, Mar 15 2004, revised Nov 06 2006

Status

approved