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        riddles >> medium >> What's so special ...?
        
(Message started by: Benoit_Mandelbrot on Feb 27^th, 2004, 8:23am)

Title: What's so special ...?
Post by Benoit_Mandelbrot on Feb 27^th, 2004, 8:23am

What's so special about this number n=1.76322283435...?

There is probably more than one answer.

Title: Re: What's so special ...?
Post by Eigenray on Feb 27^th, 2004, 8:59am

:[hide]n log n = 1[/hide], courtesy of Plouffe (http://bootes.math.uqam.ca/cgi-bin/ipcgi/lookup.pl?Submit=GO+&number=1.76322283435&lookup_type=simple).

Title: Re: What's so special ...?
Post by Benoit_Mandelbrot on Feb 27^th, 2004, 10:10am

Sweet website. I should say you should find what's special about it yourself though.

Title: Re: What's so special ...?
Post by John_Gaughan on Feb 27^th, 2004, 8:54pm

on 02/27/04 at 08:23:24, Benoit_Mandelbrot wrote:

What's so special about this number n=1.76322283435...?

There is probably more than one answer.

Off the top of my head, I think it has something to do with [phi] or e, maybe involving an integral and/or natural logarithm.

Title: Re: What's so special ...?
Post by Benoit_Mandelbrot on Mar 1^st, 2004, 6:00am

It seems like nobody cares about this number because it was answered in the first post, but my answer is this:

::[hide]nⁿ=e ; n=1/ProductLog(1).[/hide]::

Title: Re: What's so special ...?
Post by John_Gaughan on Mar 1^st, 2004, 6:33am

Well you did say there was more than one answer.