Re: factoring using geomerty?
pleyland_at_microsoft.com
Date: 09/29/03
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Date: 29 Sep 2003 12:28:22 +0100
"sqrt\(i\)" <com.com@com> writes:
> does anyone know if a method using geometry has been used, or could be
> developed to factor numbers into their primes factors?
> Does anyone have an idea where to start? and what kind of geometry will be
> most useful to the purpose of factoring?
It most certainly has. I suggest that a good place to start is
Euclid's Elements.
The ancient Greeks described virtually all their mathematics in terms
of geometry. To them, a prime was a length that could not be measured
by any smaller length other than the unit length. A composite could
be measured by a smaller length, that smaller length being a factor of
the composite.
Paul
-- The opinions expressed in this message | Hanging on in quiet desperation is are my own personal views and do not | the English way. reflect the official views of Microsoft | The time is gone, the song is over. Corporation. Paul Leyland, pleyland@ | Thought I'd something more to say.
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