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Search: id:A046024
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| A046024 |
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a(n) = smallest k such that Sum_{ i = 1..k } 1/prime(i) exceeds n. |
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+0
19
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OFFSET
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1,1
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COMMENT
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The corresponding primes prime(a(n)) are in A016088.
Index m for which the prime harmonic number p[ m ] := Sum[ 1/Prime[ k ],{k,1,m} ] >= n.
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LINKS
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Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
Eric Weisstein's World of Mathematics, Harmonic Series of Primes
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CROSSREFS
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Cf. A004080, A016088.
Sequence in context: A057175 A142642 A062629 this_sequence A081853 A002738 A006432
Adjacent sequences: A046021 A046022 A046023 this_sequence A046025 A046026 A046027
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KEYWORD
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nonn,more,nice
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AUTHOR
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Eric Weisstein (eric(AT)weisstein.com)
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EXTENSIONS
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a(4) found by Tomas Oliveira e Silva (tos(AT)det.ua.pt), using the fourth term of A016088. - Dec 14 2005
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