On 12 May 00, at 3:25, Shot wrote:

> 1) Where can I find some mathematical info on P-1 factoring 
> (preferably everything, "for dummies")?

The mathematical background to the modern factoring methods is 
distinctly non-trivial. However there are accessible explanations of 
the ideas behind the algorithms in several standard works.

For a general introduction to factoring methods, try "Primes and 
Programming" by Peter Giblin (Cambridge University Press (1993), ISBN 
0-521-40988-8). This book is fairly accessible and very reasonably 
priced, but the only reference to P-1 is to stage 1 only and is 
presented as an exercise.

For a detailed explanation of the P-1 algorithm, refer to "Prime 
Numbers and Computer Methods for Factorization" by Hans Riesel 
(Birkhauser (1994), ISBN 0-8176-3743-5), which is expensive and by no 
means easy going.
> 
> 2) When I use Prime95's Vacation or Holiday feature, does the program 
> assume that the vacation time should be treated as nighttime for the 
> purpose of P-1 factoring?
> 
Good point. My guess is that day/night setting takes no account of 
vacation time. However, is this really a problem? If running P-1 
stage 2 and daytime begins, the program will suspend P-1 & get on 
with something else, resuming the suspended P-1 job when daytime ends 
again. So the work gets finished up anyway, whether vacation time is 
in effect or not.

> BTW: George, I think many people (myself included) surf the web using 
> 800x600 resolution - new Mersenne page's menu is a little to wide for 
> that setting. Not a big issue, but a little annoying.
> 
Nowadays I tend to run in 1024x768 but with the browser window size 
set a bit smaller than that (though not as small as 800x600). I think 
1024x768 is becoming pretty well the default resolution. However, I 
still believe that it's helpful to users to design web pages so they 
can be usefully viewed when displayed at 640x480 - even if this means 
preparing a differently formatted version of the page to suit users 
with low resolution displays.

What about WAP mobiles with very small displays & very limited 
graphics capability? What about an implementation of the LL Test for 
WAP mobiles? Would be a good way of making sure that the battery on 
the damn thing was always flat ;-)

Regards
Brian Beesley
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