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Search: id:A070089
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| A070089 |
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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
8
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| 1, 2, 4, 6, 8, 9, 10, 12, 16, 18, 20, 21, 22, 24, 25, 27, 28, 30, 32, 33, 36, 40, 42, 45, 46, 48, 50, 52, 54, 56, 57, 58, 60, 64, 66, 68, 70, 72, 75, 77, 78, 81, 82, 84, 85, 88, 90, 91, 92, 93, 96, 98, 100, 102, 105, 106, 108, 110, 112, 114, 115, 117
(list; graph; listen)
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OFFSET
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1,2
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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, A070087.
Sequence in context: A110262 A118672 A100417 this_sequence A069167 A036627 A080037
Adjacent sequences: A070086 A070087 A070088 this_sequence A070090 A070091 A070092
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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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