

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



KEYWORD

nonn


AUTHOR



EXTENSIONS



STATUS

approved



