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A033942 At least 3 prime factors (counted with multiplicity). +0
8
8, 12, 16, 18, 20, 24, 27, 28, 30, 32, 36, 40, 42, 44, 45, 48, 50, 52, 54, 56, 60, 63, 64, 66, 68, 70, 72, 75, 76, 78, 80, 81, 84, 88, 90, 92, 96, 98, 99, 100, 102, 104, 105, 108, 110, 112, 114, 116, 117, 120, 124, 125, 126, 128, 130, 132, 135, 136, 138, 140, 144 (list; graph; listen)
OFFSET

1,1

COMMENT

See also A002808 for 'Composite numbers' or 'Divisible by at least 2 primes'.

A001055(a(n)) > 2, e.g. for a(3)=18 there are 4 factorizations: 1*18 = 2*9 = 2*3*3 = 3*6. - Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Dec 29, 2001

A001222(a(n)) > 3; A054576(a(n)) > 1. - Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Mar 10 2006

LINKS

T. D. Noe, Table of n, a(n) for n=1..1000

FORMULA

Product p_i^e_i with Sum e_i >= 3.

MATHEMATICA

Select[ Range[150], Plus @@ Last /@ FactorInteger[ # ] > 2 &] (from Robert G. Wilson v (rgwv(at)rgwv.com), Oct 12 2005)

CROSSREFS

Cf. A014612.

A101040(a(n))=0.

Adjacent sequences: A033939 A033940 A033941 this_sequence A033943 A033944 A033945

Sequence in context: A062373 A031034 A071280 this_sequence A111087 A091375 A083348

KEYWORD

nonn,nice

AUTHOR

Jeff Burch (gburch(AT)erols.com)

EXTENSIONS

Corrected by Patrick De Geest (pdg(AT)worldofnumbers.com), Jun 15 1998.

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Last modified May 16 23:01 EDT 2008. Contains 139884 sequences.


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