A362011 Numbers k such that 1 < gcd(k, 70) < k and A007947(k) does not divide 70.

6, 12, 15, 18, 21, 22, 24, 26, 30, 34, 36, 38, 42, 44, 45, 46, 48, 52, 54, 55, 58, 60, 62, 63, 65, 66, 68, 72, 74, 75, 76, 77, 78, 82, 84, 85, 86, 88, 90, 91, 92, 94, 95, 96, 102, 104, 105, 106, 108, 110, 114, 115, 116, 118, 119, 120, 122, 124, 126, 130, 132, 133, 134, 135, 136, 138, 142, 144, 145, 146

Offset: 1

Author

Michael De Vlieger, Apr 04 2023

Keywords

• nonn

Comments

The asymptotic density of this sequence is 23/35. - 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 70 arranged in rows, labeled and in large black circles, else gray dots if coprime to 70, purple if k = 1, red if k | 70, and gold if rad(k) | 70.

Crossrefs

Cf. A007947, A108513, A235583.

Programs

Mathematica

With[{n = 70}, Select[Range[200], And[! CoprimeQ[#, n], ! Divisible[n, Times @@ FactorInteger[#][[All, 1]]]] & ] ]

Formula

This sequence is { N \ { A108513 U A235583 } }.