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

Author

Michael De Vlieger, Apr 04 2023

Keywords

• nonn

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.

Crossrefs

Cf. A007947, A108347, A236206.

Programs

Mathematica

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

Formula

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