factorization.blogspot.com

Factorization

Tuesday, 15 March 2011. Http:/ groups.google.com/group/sci.math/browse frm/thread/bb9eb35568ce6026/92dc3f61562b5755? Http:/ groups.google.com/group/sci.math/browse frm/thread/417c69f4c2ff5f26#. Monday, 8 June 2009. Factoring general integers with WE method using random base(s). Author: James Wanless (c) 2000-9. Gmp randclass r (gmp randinit default);. Mpz class rand2(long bits). Returns random bits-bit integer */. Return r.get z bits(bits);. Int Rabin Miller(mpz class n). Mpz t temp;. Return temp class;.

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Tuesday, 15 March 2011. Http:/ groups.google.com/group/sci.math/browse frm/thread/bb9eb35568ce6026/92dc3f61562b5755? Http:/ groups.google.com/group/sci.math/browse frm/thread/417c69f4c2ff5f26#. Monday, 8 June 2009. Factoring general integers with WE method using random base(s). Author: James Wanless (c) 2000-9. Gmp randclass r (gmp randinit default);. Mpz class rand2(long bits). Returns random bits-bit integer */. Return r.get z bits(bits);. Int Rabin Miller(mpz class n). Mpz t temp;. Return temp class;.

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7 gmp we algorithm code

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10 mpz clear temp ;

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Tuesday, 15 March 2011. Http:/ groups.google.com/group/sci.math/browse frm/thread/bb9eb35568ce6026/92dc3f61562b5755? Http:/ groups.google.com/group/sci.math/browse frm/thread/417c69f4c2ff5f26#. Monday, 8 June 2009. Factoring general integers with WE method using random base(s). Author: James Wanless (c) 2000-9. Gmp randclass r (gmp randinit default);. Mpz class rand2(long bits). Returns random bits-bit integer */. Return r.get z bits(bits);. Int Rabin Miller(mpz class n). Mpz t temp;. Return temp class;.

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factorization.blogspot.com

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Factorization: June 2009

http://factorization.blogspot.com/2009_06_01_archive.html

Monday, 8 June 2009. Factoring general integers with WE method using random base(s). Author: James Wanless (c) 2000-9. Gmp randclass r (gmp randinit default);. Mpz class rand2(long bits). Returns random bits-bit integer */. Return r.get z bits(bits);. Int Rabin Miller(mpz class n). Given an integer n = 3 returns 0 composite, 1 probably prime */. Return mpz probab prime p(n.get mpz t(), 10);. Mpz class gcd(mpz class a, mpz class b). Returns greatest common divisor of a and b */. Mpz t temp;. Mpz t temp;.

2

Factorization: March 2011

http://factorization.blogspot.com/2011_03_01_archive.html

Tuesday, 15 March 2011. Http:/ groups.google.com/group/sci.math/browse frm/thread/bb9eb35568ce6026/92dc3f61562b5755? Http:/ groups.google.com/group/sci.math/browse frm/thread/417c69f4c2ff5f26#. Subscribe to: Posts (Atom). View my complete profile.

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Factorization: September 2007

http://factorization.blogspot.com/2007_09_01_archive.html

Sunday, 30 September 2007. This is a picture (from Wikipedia) of Bjarne Stroustrup - the inventor of C . I only found out recently, apparently he went to the same college I did! Saturday, 29 September 2007. Number Theory Software Libraries. Here are links to four Number-Theory software libraries - PARI, NTL, LiDIA and GiNaC - useful for writing factorizing routines. Http:/ pari.math.u-bordeaux.fr/. Http:/ www.shoup.net/ntl/. Http:/ www.cdc.informatik.tu-darmstadt.de/TI/LiDIA/. Http:/ www.ginac.de/. RSA-2...

4

Factorization: October 2007

http://factorization.blogspot.com/2007_10_01_archive.html

Wednesday, 31 October 2007. History of factorization records by sieving methods. This graph is by Francois Morain. http:/ algo.inria.fr/seminars/sem00-01/morain.html. Image linked to in situ). The relevant figure is towards the bottom of the article, in Section 4. Tuesday, 30 October 2007. It would appear that Intel's next-generation processors (Penryn) draw up to 40% less power than current CPUs, under full load. :) ) Quite welcome I imagine, in the current climate (pun intended : . It relies on the dis...

5

Factorization: March 2008

http://factorization.blogspot.com/2008_03_01_archive.html

Wednesday, 12 March 2008. YAFA (c) JGW 2008. YAFA=Yet another factorization algorithm :). I don't know whether this is any good (I think it's new) - comments welcome. Suppose we wish to factor N. Write N=x (2 n)-1, s.t. x=(N 1) (2 -n). Then N=(x-1)(x 1)(x 2 1)(x 4 1).(x 2 (n-1) 1). Start w/ n=1, and evaluate all the 2 n combinations of products of brackets above, testing for exact division into N as you go. After all unsuccessful 2 n attempts, increment n, and repeat. Subscribe to: Posts (Atom).

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Tuesday, 15 March 2011. Http:/ groups.google.com/group/sci.math/browse frm/thread/bb9eb35568ce6026/92dc3f61562b5755? Http:/ groups.google.com/group/sci.math/browse frm/thread/417c69f4c2ff5f26#. Monday, 8 June 2009. Factoring general integers with WE method using random base(s). Author: James Wanless (c) 2000-9. Gmp randclass r (gmp randinit default);. Mpz class rand2(long bits). Returns random bits-bit integer */. Return r.get z bits(bits);. Int Rabin Miller(mpz class n). Mpz t temp;. Return temp class;.

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