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Search: id:A092103
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| A092103 |
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Number of values of k for which prime(n) divides A001008(k). |
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4
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| 3, 3, 13, 638, 3, 3, 19, 3, 18, 26, 15, 3, 27, 11, 17, 17, 13, 3, 45, 3, 3
(list; graph; listen)
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OFFSET
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2,1
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COMMENT
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For p = prime(n), Boyd defines Jp to be the set of numbers k such that p divides A001008(k). This sequence gives the size of Jp. The size of Jp is unknown for p=83. It is conjectured that the size of Jp is finite for all p. A072984 gives the least number in Jp.
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REFERENCES
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David W. Boyd, A p-adic study of the partial sums of the harmonic series, Experimental Math., Vol. 3 (1994), No. 4, 287-302.
A. Eswarathasan and E. Levine, p-integral harmonic sums, Discrete Math. 91 (1991), 249-257.
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LINKS
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David W. Boyd, A p-adic study of the partial sums of the harmonic series, Experimental Math., Vol. 3 (1994), No. 4, 287-302.
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EXAMPLE
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a(2)=3 because 3 divides A001008(k) for k = 2, 7, and 22.
a(4)=13 because 7 divides A001008(k) for only the 13 values k = 6, 42, 48, 295, 299, 337, 341, 2096, 2390, 14675, 16731, 16735, and 102728.
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CROSSREFS
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Cf. A072984 (least k such that prime(n) divides A001008(k)), A092101 (harmonic primes), A092102 (non-harmonic primes).
Sequence in context: A095336 A072552 A019154 this_sequence A063550 A094152 A131943
Adjacent sequences: A092100 A092101 A092102 this_sequence A092104 A092105 A092106
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KEYWORD
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nonn
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AUTHOR
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T. D. Noe (noe(AT)sspectra.com), Feb 20 2004
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