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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 A325128 A320056

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 October 16 08:50 EDT 2019. Contains 328056 sequences. (Running on oeis4.)