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

Offset: 1

Author

Amarnath Murthy, Sep 22 2003

Keywords

• nonn

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.

Examples

			4913 = 17^3 is a term since 4912 is divisible by 8 and 4914 is divisible by 27.
		

Crossrefs

Subsequence of A088035.

Cf. A088068.

Programs

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 *)

Extensions

Corrected and extended by Ray Chandler, Sep 27 2003

Offset changed by Andrew Howroyd, Sep 22 2024