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A082418
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Numbers n such that P(n) > P(n+1) < P(n+2), where P(n) = largest prime factor of n (A006530).
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4
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3, 5, 7, 11, 15, 17, 19, 23, 26, 29, 31, 35, 39, 41, 44, 47, 49, 51, 53, 55, 59, 63, 65, 67, 69, 71, 74, 76, 80, 83, 87, 89, 95, 97, 99, 101, 104, 107, 109, 111, 113, 116, 119, 124, 127, 129, 131, 134, 137, 139, 143, 146, 149, 153, 155, 159, 161, 164, 167, 174, 179, 181, 183
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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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FORMULA
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a(n) = A100390(n) - 1. - T. D. Noe, Nov 26 2007
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MATHEMATICA
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Flatten[Position[Partition[Table[FactorInteger[n][[-1, 1]], {n, 200}], 3, 1], _?(#[[1]]> #[[2]] <#[[3]]&), {1}, Heads->False]] (* Harvey P. Dale, Jan 10 2016 *)
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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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