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A322839
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Numbers n with more prime factors (counted with multiplicity) than n+1.
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5
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4, 6, 8, 10, 12, 16, 18, 20, 22, 24, 28, 30, 32, 36, 40, 42, 45, 46, 48, 50, 52, 54, 56, 58, 60, 64, 66, 68, 70, 72, 76, 78, 80, 81, 82, 84, 88, 90, 92, 96, 100, 102, 104, 105, 106, 108, 110, 112, 114, 117, 120, 126, 128, 130, 132, 136, 138, 140, 144, 148, 150
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OFFSET
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1,1
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COMMENTS
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First differs from A074827 in having 104.
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LINKS
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EXAMPLE
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104 has four prime factors (2, 2, 2, 13), while 105 has only three (3, 5, 7), so 104 belongs to the sequence.
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MAPLE
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R:= NULL: count:= 0: w:= 0:
for n from 2 while count < 100 do
v:= numtheory:-bigomega(n);
if v < w then R:= R, n-1; count:= count+1; fi;
w:= v;
od:
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MATHEMATICA
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Select[Range[100], PrimeOmega[#]>PrimeOmega[#+1]&]
Position[Partition[PrimeOmega[Range[200]], 2, 1], _?(#[[1]]>#[[2]]&), 1, Heads -> False]//Flatten (* Harvey P. Dale, Jan 02 2021 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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