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A082421
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Numbers n such that P(n+1) < P(n) < P(n+2), where P(n) = largest prime factor of n (A006530).
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3
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3, 5, 11, 15, 17, 29, 35, 39, 41, 44, 49, 51, 55, 59, 63, 65, 69, 71, 80, 87, 95, 99, 101, 104, 107, 111, 116, 129, 137, 143, 149, 153, 155, 161, 164, 179, 186, 191, 195, 197, 203, 209, 224, 227, 230, 237, 239, 242, 249, 255, 265, 267, 269, 272, 279, 281, 285, 291, 296, 299
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OFFSET
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1,1
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REFERENCES
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Antal Balog, On the largest prime factor of consecutive integers, Abstracts Amer. Math. Soc., 25 (No. 2, 2002), p. 337, #975-11-76.
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LINKS
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MATHEMATICA
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Flatten[Position[Partition[Table[FactorInteger[n][[-1, 1]], {n, 400}], 3, 1], _?(#[[2]]<#[[1]]<#[[3]]&), {1}, Heads->False]] (* Harvey P. Dale, Sep 27 2013 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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