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Re: tan n > n

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Bob Delaney

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Mar 8, 2009, 10:47:52 AM3/8/09
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In article
<f0066f41-4e57-4e43...@e15g2000vbe.googlegroups.com>,
<lwap...@gmail.com> wrote:

> Let n be a natural number. How many solutions are there to tan > n?
> I've found 3: 1, 260515 and 37362253.
> Are there infinitely many solutions?
>
> Thanks -
>
> LW

Here's another:

122925461

But I have no proof of an infinite number.

Bob

Bob Delaney

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Mar 8, 2009, 2:31:20 PM3/8/09
to
In article
<f0066f41-4e57-4e43...@e15g2000vbe.googlegroups.com>,
<lwap...@gmail.com> wrote:

> Let n be a natural number. How many solutions are there to tan > n?
> I've found 3: 1, 260515 and 37362253.
> Are there infinitely many solutions?
>
> Thanks -
>
> LW

And here are two more:

534483448

3083975227

Bob

Phil Carmody

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Mar 8, 2009, 2:43:43 PM3/8/09
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Bob Delaney <dela...@earthlink.net> writes:
> 3083975227

Plenty more where that came from:

http://mathworld.wolfram.com/TancFunction.html

Phil
--
I tried the Vista speech recognition by running the tutorial. I was
amazed, it was awesome, recognised every word I said. Then I said the
wrong word ... and it typed the right one. It was actually just
detecting a sound and printing the expected word! -- pbhj on /.

Robert Israel

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Mar 8, 2009, 3:39:45 PM3/8/09
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> Bob Delaney <dela...@earthlink.net> writes:
> > 3083975227
>
> Plenty more where that came from:
>
> http://mathworld.wolfram.com/TancFunction.html
>
> Phil

See also OEIS sequence A088306
<http://www.research.att.com/~njas/sequences/A088306>
--
Robert Israel isr...@math.MyUniversitysInitials.ca
Department of Mathematics http://www.math.ubc.ca/~israel
University of British Columbia Vancouver, BC, Canada

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