A176587 Numbers such that arithmetic mean of distinct prime factors is not an integer.
1, 6, 10, 12, 14, 18, 20, 22, 24, 26, 28, 30, 34, 36, 38, 40, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 66, 68, 70, 72, 74, 76, 80, 82, 86, 88, 90, 92, 94, 96, 98, 100, 102, 104, 106, 108, 112, 116, 118, 120, 122, 124, 130, 132, 134, 136, 138, 140, 142, 144
Offset: 1
Keywords
Examples
For a(14) = 36: 36 = 2^2*3^3; (2+3)/2 is not integer.
Programs
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Mathematica
Join[{1},Select[Range[300],!IntegerQ[Mean[FactorInteger[#][[All,1]]]]&]] (* Harvey P. Dale, Aug 05 2022 *)
Extensions
Corrected and extended by Harvey P. Dale, Aug 05 2022
Comments