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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; text; 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] &]

With[{lpfn=Table[FactorInteger[n][[-1, 1]], {n, 200}]}, Flatten[ Position[ Partition[ lpfn, 2, 1], _?(#[[1]]>#[[2]]&), {1}, Heads->False]]] (* Harvey P. Dale, Sep 14 2014 *)

CROSSREFS

Cf. A006530, A070089.

Sequence in context: A086527 A161554 A245644 * A100933 A175679 A088828

Adjacent sequences:  A070084 A070085 A070086 * A070088 A070089 A070090

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, May 13 2002

STATUS

approved

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Last modified December 11 16:02 EST 2017. Contains 295905 sequences.