
Re: Number theory question continued
Posted:
Mar 25, 2006 11:52 AM


ManOfLight wrote:
> "Is it true that for every sufficiently large interval there will be a > integer in it of the form > 2^n3^m where m,n are integers?"
I find this formulation a little unclear. I guess it means: "Is it true that for sufficiently large L, every interval of length L will contain an integer of the form 2^n3^m?"
This is trivially equivalent to: Does there exist H such that for every y, the interval [y, y+H] contains an integer on the form 2^n3^m?
> As far as I understand it we are supposed either to prove that there > exists number H : every interval with length H contains such a number > or disprove it.
That matches my interpretation.
If the answer is no then you must prove: For every H, there exists y such that the interval [y, y+H] does not contain an integer on the form 2^n3^m.
 Jens Kruse Andersen

