A184861 Numbers m such that prime(m) is of the form floor(nr+h), where r=(1+sqrt(5))/2 and h=1/2; complement of A184864.

1, 2, 3, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 21, 22, 23, 24, 25, 28, 30, 32, 34, 35, 37, 38, 39, 40, 42, 43, 44, 45, 46, 48, 49, 51, 52, 53, 54, 55, 57, 59, 61, 62, 63, 64, 66, 68, 70, 71, 72, 73, 75, 76, 79, 80, 81, 82, 86, 89, 90, 92, 93, 96, 98, 99, 101, 102, 103, 105, 107, 109, 111, 112, 115, 116, 118, 120, 122, 124, 125, 126, 127, 130, 131, 132, 133, 134, 136, 137, 140, 141, 144, 147, 149, 151, 153, 154, 156, 157, 158, 159, 161, 162, 164

Offset

1,2

Links

Table of n, a(n) for n=1..105.

Example

See A184859.

Mathematica

r=(1+5^(1/2))/2; h=1/2; s=r/(r-1);
a[n_]:=Floor [n*r+h];
Table[a[n], {n, 1, 120}]  (* A007067 *)
t1={}; Do[If[PrimeQ[a[n]], AppendTo[t1, a[n]]], {n, 1, 600}]; t1
t2={}; Do[If[PrimeQ[a[n]], AppendTo[t2, n]], {n, 1, 600}]; t2
t3={}; Do[If[MemberQ[t1, Prime[n]], AppendTo[t3, n]], {n, 1, 300}]; t3
(* Lists t1, t2, t3 match A184859, A184860, A184861. *)

Crossrefs

Cf. A184859, A184864.

Sequence in context: A188320 A039143 A039104 * A183572 A285962 A047450

Adjacent sequences: A184858 A184859 A184860 * A184862 A184863 A184864

Keyword

nonn

Author

Clark Kimberling, Jan 23 2011

Status

approved