Titanix improves the ECPP record
10^3999 + 4771 is prime.
The proof took about 3000 h of a PENTIUM III, 800 MHZ, with the help
af a second PIII for difficult steps.
The program used is Titanix by Marcel Martin.
Giovanni & Marco La Barbera
- Fantastic feat by Giovanni, Marco and Marcel to push
ECPP to 4k digits.
It is very impressive that Tx scales up so well.
By my reckoning, the records of
Titanix.exe, Proth.exe and Pfgw.exe
all grew in the space of a few days.
Must be something in the air...
- An incredible record! Well done!
I had already noticed that TX2.1 was much faster, but
this is really fast.
Will you make a new estimator?
--- Giovanni La Barbera <giolaba@...> wrote:
> 10^3999 + 4771 is prime.
> The proof took about 3000 h of a PENTIUM III, 800
> MHZ, with the help
> af a second PIII for difficult steps.
> The program used is Titanix by Marcel Martin.
> Please see:
> Giovanni & Marco La Barbera
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- It's interesting that neither Marcel nor I could
conjure up a an argument for digits^6.
Maybe there's some fancy complexity argument that
gives this asymptotically. But my finger counting
couldn't get beyond digits^5.
So maybe instead of A*(d+const)^6 one should
just fix A*d^c, at d digits. Including a constant might
have masked a growth slower than digits^6.
I think one should fit the exponent to the data.
Just plot log(time) against log(digits) and
measure the slope of the best fit.