Would someone mind elaborating the explanation in the manual?

[Sisyphus]

David McKen wrote:
> Ahh well now that makes sense.
> 
> What I am trying to do is factor a number so the more of the small
> primes that I can test for divisibility the less time I waste trying
> numbers that simply won't divide into my number.
> 

You might be interested in the 'Handbook of Applied Cryptography'.
The entire book can be downloaded from
http://www.cacr.math.uwaterloo.ca/hac/

For algorithms/discussion pertaining to factoring you'll want chapter 3.
For algorithms/discussion pertaining to prime generation and primality 
proving you'll want chapter 4.

If your math is a damn sight better than mine you'll also be able to 
understand the more sophisticated approaches to factoring and prime 
generation covered in 'Prime Numbers A Computational Perspective' by 
Crandall and Pomerance. (No link for that one - you gotta get the book.)

Cheers,
Rob


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