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Topic: Number theory question continued
Replies: 9   Last Post: Mar 27, 2006 5:13 PM

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Larry Hammick

Posts: 1,876
From: Vancouver
Registered: 12/6/04
Re: Number theory question continued
Posted: Mar 25, 2006 5:15 AM
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ManOfLight wrote:
> Hello everybody,
> I post it again to rapair one mistake
> Could you give a clue how I can start the following problem or
> propose a solution.
> "Is it true that for every sufficiently large interval there will be a
> integer in it of the form
> 2^n-3^m where m,n are integers?"

Hint: Approximately how many numbers of the form
2^n - 3^m
are in the interval [0,x]?

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