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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.)