Brian,
>>We will of course have to check factors considerably further than we are 
>>doing on our current exponent range (due to the increased LL iteration time.)

> Yes - on the principle that it's worthwhile to spend 5% to 10% of the
> LL testing time attemptimg to find at least one factor before we run
> a LL test, the pre-factoring should be run for 3 or 4 weeks per
> exponent first (assuming PIII-500 class power). At a rough guess,
> that's up to 2^66 or 2^67, but we don't have any benchmarks yet.

Sounds about right for a SWAG estimate.  

> Of course, trial factoring to 2^40 is very quick - I spent only about
> 2 (PII-350) CPU hours spread over all 159,975 candidate exponents in
> the range I selected. But that's enough to eliminate a third of them.

Maybe we should start checking factors in (the range of prime numbers used in 
your database) in 2^40 segments, between you and me (and others?).  

> If anyone's _really_ keen I could send them the source of the program
> I used (needs MS VC++). It's reasonably efficient & will go to 2^63.
> Exponents in the 30 millions are not acceptable to Prime95 v18 and
> its derivatives.

Just call me "Mr. Keen." ;)
When you send me the source, I'll try to port it GCC (then maybe we can make
something useful out of it :-)
A few questions:
What type of sieving did you do (if any) ?
Did you write the modpow routine, or was it included with some math header?
How much room for improvment in speed would you say is there in the source?

I have limited computational resources, a PII233, a P100, but because of my
work, I have practically unlimited resources in the 486 department they could
finish a 2^40 section in about a day or so.

I hope this 10,000,000 digit thing will go somewhere.  It would be keen to 
have this range checked in maybe 2 years, attracting many new members to
GIMPS in the process.

-Lucas Wiman
________________________________________________________________
Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm

Reply via email to