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A103593 Smallest number m such that sum_{k=1..m} 1/prime(k) >= n/3. +0
1
1, 2, 3, 6, 16, 59, 400, 6467, 361139 (list; graph; listen)
OFFSET

1,2

COMMENT

a(n) <= e^(e^(n/3)), therefore a(10) < 1492725701441. - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Mar 18 2006

LINKS

Eric Weisstein Harmonic Series of Primes

CROSSREFS

Cf. A016088, A046024, A103591-A103600.

Sequence in context: A089872 A006402 A087983 this_sequence A006449 A102980 A018284

Adjacent sequences: A103590 A103591 A103592 this_sequence A103594 A103595 A103596

KEYWORD

nonn

AUTHOR

James Buddenhagen (jbuddenh(AT)gmail.com), Mar 28 2005

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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