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Search: id:A079870
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A079870 a(1)=1 and for n>1: ceil(n^(1/Omega(n))), where Omega(n) is the total number of prime factors of n (A001222). +0
4
1, 2, 3, 2, 5, 3, 7, 2, 3, 4, 11, 3, 13, 4, 4, 2, 17, 3, 19, 3, 5, 5, 23, 3, 5, 6, 3, 4, 29, 4, 31, 2, 6, 6, 6, 3, 37, 7, 7, 3, 41, 4, 43, 4, 4, 7, 47, 3, 7, 4, 8, 4, 53, 3, 8, 3, 8, 8, 59, 3, 61, 8, 4, 2, 9, 5, 67, 5, 9, 5, 71, 3, 73, 9, 5, 5, 9, 5, 79, 3, 3, 10, 83, 4, 10, 10, 10, 4, 89, 4, 10, 5, 10 (list; graph; listen)
OFFSET

1,2

COMMENT

a(n)>=A079868(n); A020639(n)<=a(n)<=A006530(n);

a(m)=A079868(m)=A079870(m) iff m is a prime power (A000961).

CROSSREFS

A079871(n)=a(n)^A001222(n).

Sequence in context: A078833 A109674 A067629 this_sequence A076690 A086287 A090662

Adjacent sequences: A079867 A079868 A079869 this_sequence A079871 A079872 A079873

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jan 13 2003

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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