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A070087 P(n) > P(n+1) where P(n) (A006530) is the largest prime factor of n. 11
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; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

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: A114235 A086527 A161554 * A100933 A175679 A088828

Adjacent sequences:  A070084 A070085 A070086 * A070088 A070089 A070090

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), May 13 2002

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Last modified February 15 11:25 EST 2012. Contains 205777 sequences.