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A362012
Numbers k such that 1 < gcd(k, 105) < k and A007947(k) does not divide 105.
1
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, 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
KEYWORD
nonn
AUTHOR
Michael De Vlieger, Apr 04 2023
STATUS
approved