0,1

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.

Table of n, a(n) for n=0..22.

4913= 17^3 is a member as 4912 is divisible by 8 and 4950 is divisible by 27.

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

Cf. A088068.

Sequence in context: A250908 A179144 A036530 * A283034 A114770 A013807

Adjacent sequences: A088066 A088067 A088068 * A088070 A088071 A088072

nonn

Amarnath Murthy, Sep 22 2003

Corrected and extended by Ray Chandler, Sep 27 2003

approved