A362012 Numbers k such that 1 < gcd(k, 105) < k and A007947(k) does not divide 105.

6, 10, 12, 14, 18, 20, 24, 28, 30, 33, 36, 39, 40, 42, 48, 50, 51, 54, 55, 56, 57, 60, 65, 66, 69, 70, 72, 77, 78, 80, 84, 85, 87, 90, 91, 93, 95, 96, 98, 99, 100, 102, 108, 110, 111, 112, 114, 115, 117, 119, 120, 123, 126, 129, 130, 132, 133, 138, 140, 141, 144, 145, 150, 153, 154, 155, 156, 159, 160

Offset

1,1

Comments

The asymptotic density of this sequence is 19/35. - Amiram Eldar, Dec 02 2023

Links

Michael De Vlieger, Table of n, a(n) for n = 1..10000

Michael De Vlieger, Diagram showing numbers k in this sequence instead as k mod 105, in black, else white if k is coprime to 105, purple if k = 1, red if k | 105, and gold if rad(k) | 105, magnification 10X.

Formula

This sequence is { N \ { A108347 U A236206 } }.

Mathematica

With[{n = 105}, Select[Range[200], And[! CoprimeQ[#, n], ! Divisible[n, Times @@ FactorInteger[#][[All, 1]]]] & ] ]

Crossrefs

Cf. A007947, A108347, A236206.

Sequence in context: A213716 A337486 A114989 * A334166 A363171 A336323

Adjacent sequences: A362009 A362010 A362011 * A362013 A362014 A362015

Keyword

nonn

Author

Michael De Vlieger, Apr 04 2023

Status

approved