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Search: Posts Made By: R.D. Silverman
Forum: Miscellaneous Math 2020-05-21, 02:21
Replies: 22
Views: 1,467
Posted By R.D. Silverman
The purpose of finding a factor of p-1 is to help...

The purpose of finding a factor of p-1 is to help factor f(n) without knowing p!.
Once you know p you don't need to find a factor of p-1.

Or if you do then just factor p-1.
Forum: Math 2020-05-18, 13:15
Replies: 13
Views: 580
Posted By R.D. Silverman
Yes. Ramanujan. But I saw no math related to...

Yes. Ramanujan. But I saw no math related to this equation in the discussion.
All I saw was a lot of blind computation and sequences of numbers. Indeed, the
first use of the word "equation" came...
Forum: Miscellaneous Math 2020-05-18, 12:42
Replies: 22
Views: 1,467
Posted By R.D. Silverman
Did you pull this linear transform from nowhere? ...

Did you pull this linear transform from nowhere? Please explain, as a function of
N, what transform one does when factoring f(N). Please explain your algorithm to
find the transform without...
Forum: Math 2020-05-18, 02:39
Replies: 13
Views: 580
Posted By R.D. Silverman
Do people not understand the difference between...

Do people not understand the difference between math and numerology?
Forum: Cunningham Tables 2020-05-16, 00:14
Replies: 112
Sticky: 3- table
Views: 16,906
Posted By R.D. Silverman
It is more appropriate to point to the Cunningham...

It is more appropriate to point to the Cunningham webpage: https://homes.cerias.purdue.edu/~ssw/cun/
Forum: Soap Box 2020-05-11, 18:03
Replies: 270
Views: 9,573
Posted By R.D. Silverman
There is none. They were held without trial in a...

There is none. They were held without trial in a U.S. prison. They are not prisoners
of war because there is no war. Congress has not declared one.
Forum: Soap Box 2020-05-11, 12:38
Replies: 270
Views: 9,573
Posted By R.D. Silverman
Note also that if you are here on a green card...

Note also that if you are here on a green card you can be deported without any trial
according to the whims of the INS.
Forum: Soap Box 2020-05-11, 12:32
Replies: 270
Views: 9,573
Posted By R.D. Silverman
Ask the prisoners at Guantanomo.

Ask the prisoners at Guantanomo.
Forum: Soap Box 2020-05-11, 12:09
Replies: 270
Views: 9,573
Posted By R.D. Silverman
Says who?? The answer to the question is...

Says who??

The answer to the question is purely a matter of opinion. To some, the right to trial
by jury might be the most important (1). Or the right to remain silent. Or the right to...
Forum: Lounge 2020-05-09, 11:37
Replies: 11
Views: 485
Posted By R.D. Silverman
I do NOT recommend this book. It is a decent...

I do NOT recommend this book. It is a decent reference but very hard to learn from.
Forum: Lounge 2020-05-04, 18:59
Replies: 12
Poll: GIMPS shirts
Views: 429
Posted By R.D. Silverman
Thumbs up Applause.

Applause.
Forum: Information & Answers 2020-04-28, 08:53
Replies: 79
Views: 2,665
Posted By R.D. Silverman
I love it. People who make informal use of an...

I love it. People who make informal use of an English word during a technical discussion
in which such words may have more than one meaning. Technical discussions require
words to have only...
Forum: Information & Answers 2020-04-28, 08:37
Replies: 79
Views: 2,665
Posted By R.D. Silverman
So if two different machines trial divide with...

So if two different machines trial divide with two different sets of trial factors how
do you know whether a true factor was actually tested??? You might be missing some.

A small change in the...
Forum: Information & Answers 2020-04-28, 08:28
Replies: 79
Views: 2,665
Posted By R.D. Silverman
"kit"? What is a "kit"??? Is it the GPU itself?...

"kit"? What is a "kit"??? Is it the GPU itself? A driver? A bus? etc.
Is this word standard GPU terminology?
Forum: Information & Answers 2020-04-28, 08:24
Replies: 79
Views: 2,665
Posted By R.D. Silverman
This proves nothing since it can be computed...

This proves nothing since it can be computed independently of whether the
divisions took place. You need to include some information generated by
the TF itself.




Another reason to dislike...
Forum: Information & Answers 2020-04-28, 03:13
Replies: 79
Views: 2,665
Posted By R.D. Silverman
You are confused. The added computation would be...

You are confused. The added computation would be hard to measure in a benchmark.
It is tiny: Decrypt the index set, gather the residues during the TF, catenate them.
compute a hash.



Any...
Forum: Information & Answers 2020-04-28, 03:01
Replies: 79
Views: 2,665
Posted By R.D. Silverman
It is not as easy as you think. Especially when...

It is not as easy as you think. Especially when the key is scattered as bits and pieces
throughout the code.



Server complexity/cost is tiny.
Forum: Information & Answers 2020-04-28, 02:26
Replies: 79
Views: 2,665
Posted By R.D. Silverman
nil. The required remainders get computed anyway...

nil. The required remainders get computed anyway during the TD. The encryption
and Hash take almost no time.


Please be more specific.
It is almost impossible to correctly guess the set s,...
Forum: Information & Answers 2020-04-27, 22:14
Replies: 79
Views: 2,665
Posted By R.D. Silverman
When one requests to perform TD on 2^p-1 have...

When one requests to perform TD on 2^p-1 have the server provide a set of indices
s = [I1, I2, I3, .....]. Encrypt s with (say) AES. When one does the trial division,
SAVE the remainders...
Forum: PARI/GP 2020-04-25, 17:51
Replies: 39
Views: 580
Posted By R.D. Silverman
I can't see any professor giving this...

I can't see any professor giving this computational problem as an exercise in
how to write code or in learning Pari syntax. That could be done by RTFM.

It has to be an exercise in how to derive...
Forum: PARI/GP 2020-04-25, 13:25
Replies: 39
Views: 580
Posted By R.D. Silverman
Follow on. Give an estimate for the largest...

Follow on. Give an estimate for the largest prime factor of the
answer without doing any computations at all. You may express your
answer as a function of the input parameters. Justify your...
Forum: PARI/GP 2020-04-25, 12:48
Replies: 39
Views: 580
Posted By R.D. Silverman
Wrong again, as usual. Do us all a favor. Stop...

Wrong again, as usual. Do us all a favor. Stop answering questions until you actually
learn some number theory.



Trying is indeed the correct word. You are not succeeding.



The correct...
Forum: Soap Box 2020-04-23, 11:50
Replies: 155
Views: 6,027
Posted By R.D. Silverman
The answer is obvious. Compare how much they...

The answer is obvious. Compare how much they contribute to bribes political
campaigns vs. how much you contribute.
Forum: Factoring 2020-04-20, 03:14
Replies: 1,803
Views: 114,064
Posted By R.D. Silverman
With respect to the YoYo queue: 65p_332 has...

With respect to the YoYo queue:

65p_332 has been totally stalled for some time. Meanwhile two other numbers have
started and made considerable progress. Is there something wrong?
Forum: Software 2020-04-16, 19:40
Replies: 6
Views: 343
Posted By R.D. Silverman
Indeed. The best use of large memory machines...

Indeed. The best use of large memory machines would be to help Greg (frmky) with the
linear algebra. There is a big backlog. Lots of memory does not really help GIMPS.
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