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A088069 Cubes sandwiched between two numbers divisible by cubes. 1
4913, 6859, 166375, 704969, 2048383, 4173281, 7880599, 12649337, 15438249, 15813251, 19902511, 28372625, 34328125, 40353607, 53582633, 71473375, 90518849, 115501303, 141420761, 174676879, 208527857, 251239591, 294079625 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
COMMENTS
Sequence is infinite. If k is a member then so is k^3. Subsidiary sequence: fourth powers sandwiched between two numbers divisible by fourth powers.
LINKS
EXAMPLE
4913= 17^3 is a member as 4912 is divisible by 8 and 4950 is divisible by 27.
MATHEMATICA
Select[Range[2, 1000], Last[Union[Transpose[FactorInteger[ #^3 - 1]][[2]]]] > 2 && Last[Union[Transpose[FactorInteger[ #^3 + 1]][[2]]]] > 2 &]^3 - Tanya Khovanova, Sep 08 2007
CROSSREFS
Cf. A088068.
Sequence in context: A250908 A179144 A036530 * A283034 A114770 A013807
KEYWORD
nonn
AUTHOR
Amarnath Murthy, Sep 22 2003
EXTENSIONS
Corrected and extended by Ray Chandler, Sep 27 2003
STATUS
approved

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Last modified July 22 00:58 EDT 2024. Contains 374478 sequences. (Running on oeis4.)