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A036966
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3-full (or cube-full, or cubefull) numbers: if a prime p divides n then so does p^3.
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13
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1, 8, 16, 27, 32, 64, 81, 125, 128, 216, 243, 256, 343, 432, 512, 625, 648, 729, 864, 1000, 1024, 1296, 1331, 1728, 1944, 2000, 2048, 2187, 2197, 2401, 2592, 2744, 3125, 3375, 3456, 3888, 4000, 4096, 4913, 5000, 5184, 5488, 5832, 6561, 6859, 6912, 7776, 8000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Also called powerful_3 numbers.
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REFERENCES
| P. Erdos and G. Szekeres, Ueber die Anzahl der Abelschen Gruppen gegebener Ordnung und ueber ein verwandtes zahlentheoretisches Problem, Acta Sci. Math. (Szeged), 7 (1935), 95-102.
M. J. Halm, More Sequences, Mpossibilities 83, April 2003.
A. Ivic, The Riemann Zeta-Function, Wiley, NY, 1985, see p. 407.
E. Kraetzel, Lattice Points, Kluwer, Chap. 7, p. 276.
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LINKS
| T. D. Noe, Table of n, a(n) for n=1..1000
Index entries for sequences related to powerful numbers
M. J. Halm, Sequences
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MATHEMATICA
| Select[ Range[2, 8191], Min[ Table[ # [[2]], {1}] & /@ FactorInteger[ # ]] > 2 &]
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CROSSREFS
| Cf. A001694, A036967.
Sequence in context: A090081 A059172 A107606 * A076467 A111231 A111307
Adjacent sequences: A036963 A036964 A036965 * A036967 A036968 A036969
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KEYWORD
| easy,nonn,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Erich Friedman (erich.friedman(AT)stetson.edu).
Corrected by Vladeta Jovovic (vladeta(AT)eunet.rs), Aug 17 2002
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