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A051283
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Numbers n such that if write n = Product p_i^e_i (p_i primes) and P = max p_i^e_i, then n/P > P.
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3
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30, 60, 70, 84, 90, 105, 120, 126, 132, 140, 154, 165, 168, 180, 182, 195, 198, 210, 220, 231, 234, 252, 260, 264, 273, 280, 286, 306, 308, 312, 315, 330, 336, 340, 357, 360, 364, 374, 380, 385, 390, 396, 399, 408, 418, 420, 429, 440, 442, 455, 456, 462
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| A080170(n+1) + 1 (conjectured). - Ralf Stephan, Feb 20 2004
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EXAMPLE
| 120 = 2^3*3^1*5^1, P = 2^3 = 8. 120 is included because 120/8 = 15 > 8.
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MATHEMATICA
| ok[n_] := n > Max[Power @@@ FactorInteger[n]]^2; Select[Range[465], ok] (* From Jean-François Alcover, Apr 11 2011 *)
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CROSSREFS
| Cf. A034699.
Sequence in context: A040870 A175785 A051488 * A066031 A071140 A074915
Adjacent sequences: A051280 A051281 A051282 * A051284 A051285 A051286
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KEYWORD
| nonn,easy,nice
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AUTHOR
| Leroy Quet
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EXTENSIONS
| More terms from James A. Sellers (sellersj(AT)math.psu.edu), Dec 11 1999
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