Mathematics of Cunningham Numbers (3rd ed., 2002, A.M.S.)

Xyzzy · 2012-02-29, 22:53

See attached file.

R.D. Silverman · 2012-02-29, 23:20

Quote:

Originally Posted by Xyzzy

See attached file.

Who gave you the copyright? You have copied the writing of others.

pinhodecarlos · 2012-02-29, 23:58

The book was published by the American Mathematical Society in 2002 and was available as free download. I also have a copy of it.

Neo · 2012-03-01, 02:15

RDS,

You know that all mathematics books are available online?? free? I have 3.4 gigs of mathematics and engineering books in PDF format. Yeah, can you believe it? Someone took the time to put every single book in a massive collection for immediate download. Took me about 45 minutes to download all 3.4 gigs.

Anyways, did you see what this book had to say about your ability to factor? Check this out:

"The most difficult number Silverman has factored so far is the 87-digit number
(5^128 + 1)/514. At present, this is the largest number ever factored by a general
purpose factoring algorithm, i.e., one which can factor all numbers of a given size
in about the same time."

Neo

LaurV · 2012-03-01, 03:41

I don't care how fast one can factor, and all is irrelevant in this context. I can factor faster and higher then most people here, not because I have the understanding of the math. I don't have it. But I am lucky to have better "hardware" then most people around. Does that make me a better mathematician? Or programmer? (none of the programs I use are written by me, except small script to put the programs to work).

And I also don't care who has the copyrights of some math book written years ago. All scientific books should be free after a while.

But what I can say is that I hate the font (typeface) used. With digits up and down, not aligned with the baseline of the row, with 1 and 2 being smaller, when they follow after 7, 9, etc, you think they are powers... extremely difficult to read. Who the hell selected that font?

henryzz · 2012-03-01, 09:02

Page 43 mentions a primality test for 2^p+-2^((p+1)/2)+1
Is it more than a N-1 test combined with the cunningham tables? I am not aware of something better than that for this form.

___________

EDIT: Well, even easier than that: N-1 has ~50% factored part - 2^(p-1)/2. No need to look up anything in the rest of the tables. See also the larger examples of these M-G norms (found since then)

R.D. Silverman · 2012-03-01, 10:54

Quote:

Originally Posted by Neo

RDS,

You know that all mathematics books are available online?? free?

Which does NOT give one the right to copy it in its entirety and then
present it somewhere else.

Quote:

Anyways, did you see what this book had to say about your ability to factor? Check this out:

"The most difficult number Silverman has factored so far is the 87-digit number
(5^128 + 1)/514. At present, this is the largest number ever factored by a general
purpose factoring algorithm, i.e., one which can factor all numbers of a given size
in about the same time."

Your point?

R.D. Silverman · 2012-03-01, 10:56

Quote:

Originally Posted by LaurV

And I also don't care who has the copyrights of some math book written years ago. All scientific books should be free after a while.

Showing your true colors? Lack of respect for the rights of others?

LaurV · 2012-03-01, 11:52

Quote:

Originally Posted by R.D. Silverman

Showing your true colors? Lack of respect for the rights of others?

For now just let's say that I have a special reason I did not get myself involved in the thread with the piracy :P

jasonp · 2012-03-01, 12:43

That typeface is quite common in older books; I think the theory is that it's more pleasing to the eye to break up long runs of things that have the same size.

Also, Carlos is right and the copyright holders chose to make this book available for free download.

pinhodecarlos · 2012-03-01, 12:50

I got the book because its free download link was published on NFS@Home homepage.

2012-03-01, 02:15	#4
Neo Dec 2010 Ava, Missouri 2³·5 Posts	RDS, You know that all mathematics books are available online?? free? I have 3.4 gigs of mathematics and engineering books in PDF format. Yeah, can you believe it? Someone took the time to put every single book in a massive collection for immediate download. Took me about 45 minutes to download all 3.4 gigs. Anyways, did you see what this book had to say about your ability to factor? Check this out: "The most difficult number Silverman has factored so far is the 87-digit number (5^128 + 1)/514. At present, this is the largest number ever factored by a general purpose factoring algorithm, i.e., one which can factor all numbers of a given size in about the same time." Neo Last fiddled with by Neo on 2012-03-01 at 02:40 Reason: Couldn't help myself

2012-03-01, 03:41	#5
LaurV Romulan Interpreter "name field" Jun 2011 Thailand 10,273 Posts	Who the hell selected that font? I don't care how fast one can factor, and all is irrelevant in this context. I can factor faster and higher then most people here, not because I have the understanding of the math. I don't have it. But I am lucky to have better "hardware" then most people around. Does that make me a better mathematician? Or programmer? (none of the programs I use are written by me, except small script to put the programs to work). And I also don't care who has the copyrights of some math book written years ago. All scientific books should be free after a while. But what I can say is that I hate the font (typeface) used. With digits up and down, not aligned with the baseline of the row, with 1 and 2 being smaller, when they follow after 7, 9, etc, you think they are powers... extremely difficult to read. Who the hell selected that font?

2012-03-01, 09:02	#6
henryzz Just call me Henry "David" Sep 2007 Liverpool (GMT/BST) 37·163 Posts	Page 43 mentions a primality test for 2^p+-2^((p+1)/2)+1 Is it more than a N-1 test combined with the cunningham tables? I am not aware of something better than that for this form. ___________ EDIT: Well, even easier than that: N-1 has ~50% factored part - 2^(p-1)/2. No need to look up anything in the rest of the tables. See also the larger examples of these M-G norms (found since then) Last fiddled with by Batalov on 2012-03-01 at 23:37 Reason: inline A

2012-03-01, 12:43	#10
jasonp Tribal Bullet Oct 2004 3555₁₀ Posts	That typeface is quite common in older books; I think the theory is that it's more pleasing to the eye to break up long runs of things that have the same size. Also, Carlos is right and the copyright holders chose to make this book available for free download. Last fiddled with by jasonp on 2012-03-01 at 12:44

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2012-02-29, 23:58	#3
pinhodecarlos "Carlos Pinho" Oct 2011 Milton Keynes, UK 12010₈ Posts	The book was published by the American Mathematical Society in 2002 and was available as free download. I also have a copy of it.

2012-03-01, 12:50	#11
pinhodecarlos "Carlos Pinho" Oct 2011 Milton Keynes, UK 12010₈ Posts	I got the book because its free download link was published on NFS@Home homepage.