Recently added

T.Rex · 2005-11-28, 22:13

I propose to list here the new noticeable items added to the Wiki.
That should be more readable than the "Recent Changes" in the Wiki main page.
Tony

T.Rex · 2005-11-28, 22:20

I've added a paragraph in the LLT page about the Digraph that can be built for each Mersenne prime under the LLT.
There is a new result dealing with the number of cycles of a given length in a Digraph built under $x^2-2$ modulo a Mersenne prime.
Read this thread in AOPS (Art Of Problem Solving) for details and proofs (not mine

).
Regards,
Tony

alpertron · 2005-12-12, 12:52

I changed the step 2 explanation, so now it should be three times as fast, without introducing complication to the algorithm.

alpertron · 2005-12-19, 01:41

I've just added articles for sieving and smooth numbers.

Please feel free to edit them if you have ideas to make them better.

alpertron · 2005-12-25, 01:42

I've just added some content to the Current Events page. The previous version was essentially empty.

alpertron · 2005-12-27, 13:13

I've just added an article about the Self Initializing Quadratic Sieve factorization method. There is still no content for linear algebra. Please feel free to modify it to make it more understandable or correct typos (English is not my first language).

alpertron · 2005-12-27, 20:06

Based on this thread about p+1, I added a section about Step 2 on P Plus 1 Factorization Method.

alpertron · 2005-12-28, 00:32

I've just adapted the text for SIQS to MPQS factorization method.

alpertron · 2005-12-29, 02:19

I've just added an article about modular square roots.

alpertron · 2006-01-12, 17:07

I've just added an example with step 2 in the p+1 algorithm.

T.Rex · 2006-01-22, 16:29

I've just added a small chapter in the LLT part saying that there are only 3 different "Universal Initial Values" that can be used as S0 for the LLT and for any Mersenne number: 4, 10, and 2/3 = (2^q+1)/3 . This appeared in a Thesis by Robert Thompson.
There should be more details in Berkeley PhD Thesis of Samuel Gebre-Egziabher, after 2002, but I cannot find it. I would be very pleased if someone could help me to get it !
Tony

2005-11-28, 22:13	#1
T.Rex Feb 2004 France 937 Posts	Recently added I propose to list here the new noticeable items added to the Wiki. That should be more readable than the "Recent Changes" in the Wiki main page. Tony Last fiddled with by T.Rex on 2005-11-28 at 22:27

2005-11-28, 22:20	#2
T.Rex Feb 2004 France 937 Posts	LLT Digraph I've added a paragraph in the LLT page about the Digraph that can be built for each Mersenne prime under the LLT. There is a new result dealing with the number of cycles of a given length in a Digraph built under $x^2-2$ modulo a Mersenne prime. Read this thread in AOPS (Art Of Problem Solving) for details and proofs (not mine ). Regards, Tony

2005-12-12, 12:52	#3
alpertron Aug 2002 Buenos Aires, Argentina 2²·3·5³ Posts	Changes in Elliptic Curve Method I changed the step 2 explanation, so now it should be three times as fast, without introducing complication to the algorithm.

2006-01-22, 16:29	#11
T.Rex Feb 2004 France 937 Posts	Universal Initial Values of LLT I've just added a small chapter in the LLT part saying that there are only 3 different "Universal Initial Values" that can be used as S0 for the LLT and for any Mersenne number: 4, 10, and 2/3 = (2^q+1)/3 . This appeared in a Thesis by Robert Thompson. There should be more details in Berkeley PhD Thesis of Samuel Gebre-Egziabher, after 2002, but I cannot find it. I would be very pleased if someone could help me to get it ! Tony

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2005-12-19, 01:41	#4
alpertron Aug 2002 Buenos Aires, Argentina 2²·3·5³ Posts	I've just added articles for sieving and smooth numbers. Please feel free to edit them if you have ideas to make them better.

2005-12-25, 01:42	#5
alpertron Aug 2002 Buenos Aires, Argentina 2²×3×5³ Posts	I've just added some content to the Current Events page. The previous version was essentially empty.

2005-12-27, 13:13	#6
alpertron Aug 2002 Buenos Aires, Argentina 10111011100₂ Posts	I've just added an article about the Self Initializing Quadratic Sieve factorization method. There is still no content for linear algebra. Please feel free to modify it to make it more understandable or correct typos (English is not my first language).

2005-12-27, 20:06	#7
alpertron Aug 2002 Buenos Aires, Argentina 2²×3×5³ Posts	Based on this thread about p+1, I added a section about Step 2 on P Plus 1 Factorization Method.

2005-12-28, 00:32	#8
alpertron Aug 2002 Buenos Aires, Argentina 5DC₁₆ Posts	I've just adapted the text for SIQS to MPQS factorization method.

2005-12-29, 02:19	#9
alpertron Aug 2002 Buenos Aires, Argentina 5DC₁₆ Posts	I've just added an article about modular square roots.

2006-01-12, 17:07	#10
alpertron Aug 2002 Buenos Aires, Argentina 2²×3×5³ Posts	I've just added an example with step 2 in the p+1 algorithm.