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A051283
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Numbers k such that if one writes k = Product p_i^e_i (p_i primes) and P = max p_i^e_i, then k/P > P.
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36
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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
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OFFSET
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1,1
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COMMENTS
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LINKS
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FORMULA
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EXAMPLE
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120 = 2^3*3^1*5^1, P = 2^3 = 8. 120 is included because 120/8 = 15 > 8.
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MATHEMATICA
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ok[n_] := n > Max[Power @@@ FactorInteger[n]]^2; Select[Range[465], ok] (* Jean-François Alcover, Apr 11 2011 *)
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PROG
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(Haskell)
a051283 n = a051283_list !! (n-1)
a051283_list = filter (\x -> (a034699 x) ^ 2 < x) [1..]
(PARI) lista(nn) = for(k=2, nn, f=factor(k); if(k>vecmax(vector(#f[, 1], i, f[i, 1]^f[i, 2]))^2, print1(k, ", "))); \\ Jinyuan Wang, Feb 28 2020
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CROSSREFS
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KEYWORD
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nonn,easy,nice
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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