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Search: Posts Made By: R.D. Silverman
Forum: Cunningham Tables 2022-10-06, 22:02
Replies: 34
Views: 2,308
Posted By R.D. Silverman
The alpha pdf does seem to have a longer tail to...

The alpha pdf does seem to have a longer tail to the right.
Forum: Cunningham Tables 2022-10-06, 12:29
Replies: 34
Views: 2,308
Posted By R.D. Silverman
It seems that my guess was wrong. This does not...

It seems that my guess was wrong. This does not appear to be similar to a Gamma pdf. Is there a central limit
theorem effect happening here?
Forum: Cunningham Tables 2022-10-02, 22:32
Replies: 34
Views: 2,308
Posted By R.D. Silverman
If I had the hardware, I would. I do not have a...

If I had the hardware, I would. I do not have a GPU. I only have a single PC.

We seem to be talking cross purposes. You are focussing on the specifics of how the search is conducted,
and on...
Forum: Cunningham Tables 2022-10-02, 20:23
Replies: 34
Views: 2,308
Posted By R.D. Silverman
For each candidate composite, each polynomial...

For each candidate composite, each polynomial yields an e-score. You may not compute an e-score
for each one, but it does exist. I am asking how the e-scores are distributed across all of the...
Forum: Cunningham Tables 2022-10-02, 12:36
Replies: 34
Views: 2,308
Posted By R.D. Silverman
This is my expectation; below optimal e-scores...

This is my expectation; below optimal e-scores were not captured. It would be a lot of data.
Forum: Cunningham Tables 2022-10-02, 08:59
Replies: 34
Views: 2,308
Posted By R.D. Silverman
Does anyone have any idea how the e-scores are...

Does anyone have any idea how the e-scores are distributed? I doubt that they are Gaussian. My "intuition"
(which could be very wrong) says that they are more likely to be shaped like a...
Forum: Cunningham Tables 2022-10-01, 20:07
Replies: 34
Views: 2,308
Posted By R.D. Silverman
Comparing efforts from different architctures for...

Comparing efforts from different architctures for different problems is fuzzy at best. Thus, -->

I don't know the answer either.



I don't know the answer to this question either!
Forum: Cunningham Tables 2022-10-01, 15:35
Replies: 34
Views: 2,308
Posted By R.D. Silverman
Typically one spends about 5% of the total effort...

Typically one spends about 5% of the total effort on poly selection. Based on prior discussion it seems that
nothing close to that amount of effort has been spent.
Forum: Factoring 2022-09-28, 21:25
Replies: 1,870
Views: 222,078
Posted By R.D. Silverman
Ryan has had two numbers reserved for over four...

Ryan has had two numbers reserved for over four months. Did he forget about them?
Forum: FactorDB 2022-09-16, 23:56
Replies: 26
Views: 1,518
Posted By R.D. Silverman
The discussion seems quite timely. I have been...

The discussion seems quite timely. I have been unable to access the database for the last day. Attempts
to access are now yielding "fixing database tables".
Forum: Cunningham Tables 2022-09-10, 11:52
Replies: 53
Views: 7,726
Posted By R.D. Silverman
Your logic falls short. The fact that Greg...

Your logic falls short.

The fact that Greg mentioned 1.18Billion unique relations in his computation says nothing regarding
msieve's upper bound on raw relation count. Your comment

"Msieve...
Forum: Cunningham Tables 2022-09-10, 05:20
Replies: 53
Views: 7,726
Posted By R.D. Silverman
I can read. You did NOT cite 'unique relations'....

I can read. You did NOT cite 'unique relations'. I quote what you wrote here:

"Msieve can, in principle, handle 4.3 billion relations. "

I do not see the word "unique" anywhere in the post...
Forum: Cunningham Tables 2022-09-09, 23:11
Replies: 53
Views: 7,726
Posted By R.D. Silverman
If one runs sort then uniq on the relations...

If one runs sort then uniq on the relations before handing off to msieve it will greatly reduce the number
of relations it has to handle.
Forum: Cunningham Tables 2022-09-09, 19:54
Replies: 53
Views: 7,726
Posted By R.D. Silverman
A very nice effort.

A very nice effort.
Forum: Factoring 2022-09-06, 13:48
Replies: 1,870
Views: 222,078
Posted By R.D. Silverman
The factor database. http://www.factordb.com/

The factor database. http://www.factordb.com/
Forum: Factoring 2022-09-04, 22:35
Replies: 1,870
Views: 222,078
Posted By R.D. Silverman
Minor Milestone

I have finished factoring all HCN composites a^n +/- b^n for a > b, (a,b) = 1, a <= 20 and n <= 150
Forum: FactorDB 2022-09-04, 01:03
Replies: 9
Views: 600
Posted By R.D. Silverman
Forum: Cunningham Tables 2022-08-27, 01:40
Replies: 30
Views: 18,445
Posted By R.D. Silverman
GMP-ECM is readily available for either windows...

GMP-ECM is readily available for either windows or Linux. However, for the remaing 'gang of 31' we need a mass effort. I was speculating/asking about how to organize such.
Forum: Cunningham Tables 2022-08-27, 01:37
Replies: 30
Views: 18,445
Posted By R.D. Silverman
ECM has been run; just not the current run. And...

ECM has been run; just not the current run. And these numbers were removed. They are not part of the 'gang of 31'
that we believe are too big for NFS@Home.
Forum: Cunningham Tables 2022-08-19, 10:34
Replies: 30
Views: 18,445
Posted By R.D. Silverman
A followup

A fundamental (IMO) question remains. Given that this set of 31 numbers is probably beyond the range of
NFS@Home, what can be done (if anything) to promote the use of ECM beyond that of the...
Forum: Cunningham Tables 2022-07-28, 13:37
Replies: 30
Views: 18,445
Posted By R.D. Silverman
It is amenable, but I doubt that it will work for...

It is amenable, but I doubt that it will work for NFS@Home. The data storage/transfer requirements
would be much too large for a distributed effort. You would have to sieve ONE number and SAVE...
Forum: Cunningham Tables 2022-07-26, 16:57
Replies: 30
Views: 18,445
Posted By R.D. Silverman
This is only 4 bits larger than 2,2178LM. Is the...

This is only 4 bits larger than 2,2178LM. Is the parameter data for those available?
Forum: Cunningham Tables 2022-07-26, 16:55
Replies: 30
Views: 18,445
Posted By R.D. Silverman
Greg has queued the 3 octics. I assume that...

Greg has queued the 3 octics. I assume that 2,1109+ and 2,1091+ will get done eventually. The remainder
seem out of reach for NFS@Home. I suggest we refer to them as the 'Gang of 31'. The "31"...
Forum: Cunningham Tables 2022-07-25, 19:09
Replies: 30
Views: 18,445
Posted By R.D. Silverman
Update

Here is an update to a post that I made some time ago.
This post contains info about recent ECM efforts.

There are currently 37 unfinished numbers from the 1987 hardcover edition of the ...
Forum: Miscellaneous Math 2020-07-21, 15:01
Replies: 57
Views: 27,876
Posted By R.D. Silverman
When someone makes a bold claim and another...

When someone makes a bold claim and another person then asks for clarification
the OP should be obligated to respond. I call that common courtesy. You claim
that people here should be courteous. ...
Showing results 1 to 25 of 1000

 
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