Davieddy's World

[davieddy]

Originally Posted by TheJudger

I don't really know why it is this way and the following text it not a proof, but at least it makes sense to myself:
The chance for a factor between 2^n-1 and 2ⁿ is 1/n, so the chance for a (roughly) n-bit factor is 1/n, but this is only a (good) estimate.
The product of all prime factors of a number is equal to the number itself.
For a number m there are log₂(m) bitlevels, so summing all products of factor sizes multiplied by the chance for a factor of this size: 1*1/1 + 2*1/2 + 3*1/3 + ... + log₂(m)*1/log₂(m) = 1 + 1 + 1 + ... + 1 = log₂(m)


Oliver

Nice!
Good to know that this simple probability distribution of factors leads to their product actually equalling the number on average.
As you observe, this is no proof (nor very explanative for that matter), but it is highly suggestive that we are on the right lines.

D

[davieddy]

Originally Posted by Aramis Wyler

Sadness.

Originally Posted by chalsall

Why?

As usual we concur
DCTF has been greatly outpacing DC assignment and completion, in marked contrast to LLTF and LL completion.
OTOH the net LL assignment rate seems low ATM, which does not augur well for the future LL completion rate. It does allow us to TF everything to 74 tho.
BTW how worthwhile is P-1 these days?
As long as unP-1ed expos are only assigned to those willing to do it before embarking on their LL, I don't see the low P-1 rate as a major problem.

David

[davieddy]

Originally Posted by Aramis Wyler

I thought we were going to be done with it.

Originally Posted by chalsall

We will. In about 2020....

Originally Posted by kracker

...unless more people do it.

Originally Posted by chalsall

Always an option with free agents....

Originally Posted by Chuck

Buy more GPUs...

Drop the DCTF bitlevel to the optimal.
Drop the rate to just greater than the DC completion rate.
Use the firepower released to ensure that the LL and DC wavefronts are at least doubled by 2020.

We will likely find two more primes.
Am I the only one who considers this to be a more exciting milestone?

David

[kracker]

Originally Posted by davieddy

Am I the only one who considers this to be a more exciting milestone?

Am I the only one who knows daviddy doesn't have a single gpu and rambles about how we should use our own gpu's?

[davieddy]

Originally Posted by kracker

Am I the only one who knows daviddy doesn't have a single gpu and rambles about how we should use our own gpu's?

Davieddy has a brain and monitors GIMPS progress more closely than others.

When I point out the more dramatic observations and predictions, it makes it obvious to the mob where effort is best employed.
I do not say "this should be done" and certainly not "everyone should do this".
But some of observations make it clear to even the dimmest GPU operator the most sensible course of action.
Deniers can't dispute my observations, so they falsely ascribe devious motives to me.
In a sense, GPU ownership diminishes one's objectivity.

Now shut the **** up the lot of you, unless you have something constructive to say.

The only person telling people what to do is Chalsall, and he lacks my ability to see the big, long term picture and analyse the data properly. And yes, I can furnish many examples. His readiness to resort to insults is a giveaway.

[kladner]

Repenteth, ye vile sinners, for the apocalypse beareth down upon thee! Heedeth the word of the Prophet Davie lest Saint Mersenne smiteth thee with weapons of math instruction! Then cries of DOH! shall surely filleth the land and great shall be the lamentation of the deluded unbelievers. Too late shall they realizeth their iniquity and their big iron shall falleth upon them even as an Acme safe falleth upon Wile E. Coyote. Yea, verily I sayeth unto you, unending shall be your ouchiness if you repenteth not, and turneth not from thy willful wastiness of valuable resources which thou understandeth not!

[LaurV]

Originally Posted by kracker

Am I the only one who knows daviddy doesn't have a single gpu and rambles about how we should use our own gpu's?

No, you are not...

[davieddy]

Originally Posted by Uncwilly

Imagine how exciting finding a 100M digit prime would be. And imagine how rewarding it might be.

Originally Posted by Aramis Wyler

Yeah, I could use the bucks. I think once we get p-1 running well on gpus I'll set my cpus to doing LL work again. Maybe in the 332M range.

This is neither rambling nor a command:

You are 170 times more likely to find a prime with expo 60M than 332M.

Feel free to choose which you want to work on. The decision is yours.
(I'm not in a dictatorial mood this morning)

D

PS Personally even my patience might be wearing a bit thin after 680 years.

[R.D. Silverman]

Originally Posted by kladner

Repenteth, ye vile sinners, for the apocalypse beareth down upon thee! Heedeth the word of the Prophet Davie lest Saint Mersenne smiteth thee with weapons of math instruction! Then cries of DOH! shall surely filleth the land and great shall be the lamentation of the deluded unbelievers. Too late shall they realizeth their iniquity and their big iron shall falleth upon them even as an Acme safe falleth upon Wile E. Coyote. Yea, verily I sayeth unto you, unending shall be your ouchiness if you repenteth not, and turneth not from thy willful wastiness of valuable resources which thou understandeth not!

Applause! Applause!

[chalsall]

Originally Posted by R.D. Silverman

Applause! Applause!

Indeed! That was really funny and creative!

[kladner]

Thanks, RDS and Chalsall. I had fun with it.