Factorization of Partition Number

Update

What's new (July 16, 2013)

Caution ! These numbers are under computation. (July 16, 2013)

Old logs

2012, 2011, 2010, 2009, 2008, 2007, 2006, 2005, 2004, 2003 (Dec - Oct, Sep - Jul, Jun - Apr, Mar - Jan), 2002

Factors of Partition Number

Table 1 (n=1 ... 10000)

P(n)FactorsLast UpdateRemains
1 .. 10001 .. 1000Jul. 26, 1999Complete
1001 .. 20001001 .. 2000Jul. 26, 1999Complete
2001 .. 30002001 .. 3000Jul. 26, 1999Complete
3001 .. 40003001 .. 4000Jul. 26, 1999Complete
4001 .. 50004001 .. 5000Sep. 06, 1999Complete
5001 .. 60005001 .. 6000Feb. 21, 2000Complete
6001 .. 70006001 .. 7000Dec. 28, 2000Complete
7001 .. 80007001 .. 8000Feb. 20, 2001Complete
8001 .. 90008001 .. 9000Feb. 22, 2001Complete
9001 .. 100009001 .. 10000Feb. 09, 2001Complete

Table 2 (n=10001 ... 20000)

P(n)FactorsLast UpdateRemainsCurrent ECM status
(All data was cheched B1=5e4, 300 curves
and B1=25e4, 500 curves)
10001 .. 11000 10001 .. 10500Nov. 05, 2003CompleteLast number was factored by Tom Hill.
Alexis Michon's Page
10501 .. 11000Jan. 23, 2004CompleteLast number was factored by Tom Hill.
Alexis Michon's Page
11001 .. 12000 11001 .. 11500Mar. 23, 2004CompleteLast number was factored by Tom Hill.
Alexis Michon's Page
11501 .. 12000Mar. 29, 2005CompleteLast number was factored by Sean A. Irvine.
Alexis Michon's Page
12001 .. 13000 12001 .. 12500Dec. 31, 2005CompleteLast number was factored by Sander Hoogendoorn.
Alexis Michon's Page
12501 .. 13000Aug. 07, 2006CompleteLast number was factored by Sander Hoogendoorn.
Alexis Michon's Page
13001 .. 14000 13001 .. 13500Jun. 22, 2007CompleteLast number was factored by Tom Womack.
Alexis Michon's Page
13501 .. 14000Dec. 29, 2007CompleteLast number was factored by Sean A. Irvine.
Alexis Michon's Page
14001 .. 15000 14001 .. 14500Mar. 08, 2008CompleteLast number was factored by Sander Hoogendoorn.
Alexis Michon's Page
14501 .. 15000Feb. 15, 2009CompleteLast number was factored by Ignacio Santos.
Alexis Michon's Page
15001 .. 16000 15001 .. 15500Jul. 26, 2009CompleteLast number was factored by Ignacio Santos.
B1=25e4, 500 curves was done by Craig Johnston.
15501 .. 16000Jan. 31, 2013CompleteLast number was factored by Sean A. Irvine.
B1=25e4, 500 curves was done by Craig Johnston.
16001 .. 17000 16001 .. 16500Oct. 30, 2009CompleteLast number was factored by Sean A. Irvine.
B1=25e4, 500 curves was done by Craig Johnston.
16501 .. 17000Apr. 16, 2013CompleteLast number was factored by Sean A. Irvine.
B1=25e4, 500 curves was done by Craig Johnston.
17001 .. 18000 17001 .. 17500Apr. 16, 201389B1=25e4, 500 curves was done by Craig Johnston.
17501 .. 18000Aug. 28, 2012123B1=25e4, 500 curves was done by Craig Johnston.
18001 .. 19000 18001 .. 18500Aug. 28, 2012139B1=25e4, 500 curves was done by Craig Johnston.
18501 .. 19000Aug. 28, 2012132B1=25e4, 500 curves was done by Craig Johnston.
19001 .. 20000 19001 .. 19500Jul. 16, 2012136B1=25e4, 500 curves was done by Craig Johnston.
19501 .. 20000Aug. 28, 2012138B1=25e4, 500 curves was done by Craig Johnston.

Table 3 (n=20001 ... 30000)

P(n)FactorsLast UpdateRemainsCurrent ECM status
(All data was cheched B1=5e4, 300 curves
and B1=25e4, 500 curves)
20001 .. 21000 20001 .. 20500Nov. 24, 2011132B1=25e4, 500 curves was done by Suberi.
20501 .. 21000Jul. 16, 2012152B1=25e4, 500 curves was done by Suberi.
21001 .. 22000 21001 .. 21500Jul. 16, 2012197B1=25e4, 500 curves was done by Suberi.
21501 .. 22000Jul. 16, 2012212B1=25e4, 500 curves was done by Suberi.
22001 .. 23000 22001 .. 22500Nov. 24, 2011196B1=25e4, 500 curves was done by Suberi.
22501 .. 23000Aug. 28, 2012216B1=25e4, 500 curves was done by Suberi.
23001 .. 24000 23001 .. 23500Jul. 16, 2012216B1=25e4, 500 curves was done by Suberi.
23501 .. 24000Aug. 28, 2012229B1=25e4, 500 curves was done by Suberi.
24001 .. 25000 24001 .. 24500Aug. 28, 2012247B1=25e4, 500 curves was done by Suberi.
24501 .. 25000Nov. 24, 2011247B1=25e4, 500 curves was done by Suberi.
25001 .. 26000 25001 .. 25500Jul. 16, 2012226B1=25e4, 500 curves was done by Suberi.
25501 .. 26000Aug. 28, 2012232B1=25e4, 500 curves was done by Suberi.
26001 .. 27000 26001 .. 26500Jul. 16, 2012234B1=25e4, 500 curves was done by Suberi.
26501 .. 27000Jul. 16, 2012239B1=25e4, 500 curves was done by Suberi.
27001 .. 28000 27001 .. 27500Dec. 20, 2011275B1=25e4, 500 curves was done by Suberi.
27501 .. 28000Jul. 16, 2012250B1=25e4, 500 curves was done by Hisanori Mishima.
28001 .. 29000 28001 .. 28500Aug. 28, 2012268B1=25e4, 500 curves was done by Hisanori Mishima.
28501 .. 29000Aug. 28, 2012278B1=25e4, 500 curves was done by Hisanori Mishima.
29001 .. 30000 29001 .. 29500Nov. 24, 2011270B1=25e4, 500 curves was done by Hisanori Mishima.
B1=1e6, 1100 curves was done by Suberi.
29501 .. 30000Nov. 24, 2011262B1=25e4, 500 curves was done by Hisanori Mishima.
B1=1e6, 1100 curves was done by Suberi.

Contributors

These results owe to the following members' contributions.

  1. Kazumaro Aoki
  2. Samuel Bosquin
  3. Eric Brier
  4. Tyler Cadigan
  5. Tom Cage
  6. Christophe Clavier
  7. Konrad Dabrowski
  8. Bernd Edler
  9. Yvan Guillermin
  10. Robert Harley
  11. Frank Heyder
  12. Tom Hill
  13. Sander Hoogendoorn
  14. Sean A. Irvine
  15. Tetsuya Izu
  16. Craig Johnston
  17. Reto Keiser
  18. Tetsuya Kobayashi
  19. Shusuke Kubota
  20. Alexis Michon
  21. Hisanori Mishima
  22. Luigi Morelli
  23. Hugo Platzer
  24. Thorsten Reinecke
  25. Ignacio Santos
  26. Andreas Schindel
  27. Andrew Slodkiewicz
  28. Suberi
  29. Karl Vago
  30. Thomas Womack
  31. Peter Zalewski

link

Partition Challenge (RSA Data Securities, Inc.)

This project had already finished.
The current status of furthur effort (for primes upto 29989) are maintained
by Ray Ontko's web page, Prime Numbers and Factoring.

Results by Alexis Michon

10001-10500, 10501-11000
11001-11500, 11501-12000
12001-12500, 12501-13000
13001-13500, 13501-14000
14001-14500, 14501-15000
top 10 (ppmpqs), top 10 (ppsiqs)

Performance report of PPSIQS

PPSIQS Version 1.1 of Satoshi Tomabechi: Statistics for 60 Runs, By Tom Hill (January 21, 2003)

Factorization results of Various Numbers "Mathematician's Secret Room" Factorization results of Cyclotomic Numbers
E-mail : kc2h-msm@asahi-net.or.jp
Hisanori Mishima