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A070087 P(n) > P(n+1) where P(n) (A006530) is the largest prime factor of n. +0
9
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)
OFFSET

1,1

COMMENT

Erdos conjectured that this sequence has asymptotic density 1/2.

REFERENCES

H. L. Montgomery, Ten Lectures on the Interface Between Analytic Number Theory and Harmonic Analysis, Amer. Math. Soc., 1996, p. 210.

LINKS

T. D. Noe, Table of n, a(n) for n=1..1000

MATHEMATICA

f[n_] := FactorInteger[n][[ -1, 1]]; Select[ Range[125], f[ # ] > f[ # + 1] &]

CROSSREFS

Cf. A006530, A070089.

Sequence in context: A102941 A114235 A086527 this_sequence A088828 A056911 A103796

Adjacent sequences: A070084 A070085 A070086 this_sequence A070088 A070089 A070090

KEYWORD

nonn

AUTHOR

njas, May 13 2002

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Last modified September 8 13:07 EDT 2008. Contains 143486 sequences.


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