These types of "back-of-the-envelope" calculations
http://en.wikipedia.org/wiki/Fermi_problem
keeps the old ticker sharp, and helps in detecting 
egregiously erroneous statements like grains of rice 
on a chessboard (2^n grains on square n) covering 
the earth to great depth, http://keiapl.org/anec/#rice
or 2^60 being larger than the # particles in the universe.
http://preview.tinyurl.com/cunwsm

For example, having done the calculation
(which I probably could have done in my head),
I know that the number of particles in the universe
is not 10^1000.



----- Original Message -----
From: Jonathan Lettvin <[email protected]>
Date: Friday, April 24, 2009 10:42
Subject: Re: [Jprogramming] table of primes to 1,000,000,000 or more
To: Programming forum <[email protected]>

> I guess my sense of humor is too dry.
> I know the godaddy server idea is useless.
> But then, calculating a universe
> hexagonal close-packed with Hydrogen
> struck me as being a bit overboard too.
> Just thought I would join in the fun.
> 
> On Fri, Apr 24, 2009 at 12:44 PM, Zsbán Ambrus 
> <[email protected]> wrote:
> 
> > On Fri, Apr 24, 2009 at 6:40 PM, Zsbán Ambrus 
> <[email protected]> wrote:
> > > The point is, an average home computer can easily test the 
> primality> > of any one really huge number in a few moments (and 
> does too when
> > > doing public-key cryptography),
> > ...
> > > The same is true for factorization,
> >
> > I'm being a bit imprecise here though, because while a usual home
> > computer does do primality tests for public-key cryptography, 
> I do now
> > think it performs prime factorizatoin often.
> >
> > Ambrus
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