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Search: id:A070087
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| A070087 |
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P(n) > P(n+1) where P(n) (A006530) is the largest prime factor of n. |
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+0
9
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| 3, 5, 7, 11, 13, 14, 15, 17, 19, 23, 26, 29, 31, 34, 35, 37, 38, 39, 41, 43, 44, 47, 49, 51, 53, 55, 59, 61, 62, 63, 65, 67, 69, 71, 73, 74, 76, 79, 80, 83, 86, 87, 89, 94, 95, 97, 99, 101, 103, 104, 107, 109, 111, 113, 116, 118, 119, 122, 123, 124
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Erdos conjectured that this sequence has asymptotic density 1/2.
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REFERENCES
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H. L. Montgomery, Ten Lectures on the Interface Between Analytic Number Theory and Harmonic Analysis, Amer. Math. Soc., 1996, p. 210.
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..1000
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MATHEMATICA
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f[n_] := FactorInteger[n][[ -1, 1]]; Select[ Range[125], f[ # ] > f[ # + 1] &]
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CROSSREFS
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Cf. A006530, A070089.
Sequence in context: A114235 A086527 A161554 this_sequence A100933 A088828 A056911
Adjacent sequences: A070084 A070085 A070086 this_sequence A070088 A070089 A070090
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), May 13 2002
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