Factorizations of Repunit Numbers of the form (10n-1)/9 (111111...)



Related links:

Factor tables of Richard Brent
Jonathan Crombies extensive factor tables
Factordb: Factor tables - Downloads
Repunit factors of Torbjörn Granlund
Factorizations of Repunit numbers of Makoto Kamada
Factor tables of Yousuke Koide
Factor tables of Sam Wagstaff
The Ecmnet of Paul Zimmermann
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Contributions of new factors are welcome - email:




ECM EFFORTS
with Rn:      323 < n < 2000 (Ju1 24, 2016) with Rn:     1999 < n < 3000 (Jul 14, 2016)
with Rn:    2999 < n < 4000 (Jul 25, 2016) with Rn:     3999 < n < 6000 (Jun 29, 2016)



Efforts by   yoyo@home:    ecm-curves
B1 = 43e6/6400 curves/
numbers < 1001 digits
1141
working
1143
working
1145
working
1147
working
1161
working
B1 = 11e7/13500 curves/
numbers < 601 digits
1131
working
1154
working
1166
working
1167
working
1168
working
B1 = 26e7/32000 curves/
numbers < 410 digits
1128
working
1130
working
1134
working
1142
working
2380M
working
B1 = 85e7/52000 curves/
numbers < 225 digits
415
working
1062
working
2420L
working
2460L
working
 



News

  
 
- Last update: Jul 26, 2016  
    

- Maksym Voznyy/Wenjie Fang/Alfred Eichhorn/Kurt Beschorner
  
   Jul 26, 2016   R2700M/c197: GNFS -sieving


- Bo Chen/Wenjie Fang/Alfred Reich/Alfred Eichhorn/Maksym Voznyy/Kurt Beschorner
  
   Jul 26, 2016   R343/c238: SNFS-difficult 294 - postprocessing:
                  9.25M dim. of 37.8M dim. are done; ETA 915 hours
                  see: http://blog.sina.com.cn/s/blog_571ae3fa0102vxmi.html


- Found: anonymous      

   Jun 04, 2016   n =5740L: 160875812226384158341944785758910341
                            P36: P-1: 2^2 * 3 * 5 * 7 * 13^2 * 41 * 71719 * 770791071629871613985327
                                 P+1: 2 * 476713 * 168734450525142127802204665867
   Jul 11, 2016   n = 1435: 76477989624050565171649436387228238961441
                            P41: P-1: 2^5 * 3^3 * 5 * 7 * 41 * 1039 * 1279 * 2750535751 * 16875919043365694311
                                 P+1: 2 * 38238994812025282585824718193614119480721  
   Jul 13, 2016   n = 2277: 37341797099678068414681695694866038173
                            P38: P-1: 2^2 * 3^2 * 11^2 * 23 * 397 * 938834414466497403387467724277
                                 P+1: 2 * 19 * 3715559 * 3890639 * 67977708469668187097773 
       

- Bo Chen/Wenjie Fang/Maksym Voznyy/Kurt Beschorner
  
   Feb 15, 2016   n =2340L: 54416219768345058780693800256182138078138198676424989328564702046179663087831396313663972761; GNFS


- Found by Alfred Eichhorn

   Apr 06, 2016   n =44797: 627221432707536259129 * 1771481414......c44776; B1=11e3; sigma = 3400192084
   Apr 16, 2016   n = 8387: 70350195396742638557717;                        B1=5e4;  sigma = 699879868
   Apr 23, 2016   n =46679: 33213589575352142773 * 3345350879......c46659;  B1=11e3; sigma = 3791877031
   May 05, 2016   n =46877: 1810380864301035324119 * 6137443965......c46855; B1=11e3; sigma = 3418097178
   Jun 03, 2016   n = 9767: 54578074909849412344440427 * 2035819535......c9741; B1=5e4; sigma = 692329857
   Jul 11, 2016   n =50153: 3911026339398525737707317283 * 2840970667......c50125; B1=11e3; sigma = 1038073320
   Jul 25, 2016   n =51061: 229487628774536927117 * 4841703742......c51040;       B1=11e3 
   Jul 25, 2016   n =51071: 10731584737317918345437 * 1035365361......c51049;     B1=11e3 
   Jul 25, 2016   n =51341: 275686936071137547291518399 * 4030336464......c51314; B1=11e3
   Jul 26, 2016   n =51517: 43016504259697737763 * 2582987925......c51497;        B1=11e3


- Found by Ryan Propper

   Jul 17, 2016   n =  429: 12998514909869151807098212773862100794044705428424741778699159434241; GNFS 


- Found by YOYO@home

   errate     
   Jun 29, 2016   n = 1136: 155744533524951745226433500587796122871137105818580913; B1= 11e7; sigma = 2242550118 
                            P54: P-1: 2^4 * 71 * 12251 * 25577 * 838853 * 521587861130115715535575305632117107  
                                 P+1: 2 * 3 * 2083 * 1246155653104110619510589699054217657794643943439415793          
   congratulations!

   Sir Thomas W. Kilburn     
   Jul 12, 2016   n = 1216: 3928012193813155346711857127951417921651415863617; B1= 11e7; sigma = 1216426183 
                            P49: P-1: 2^6 * 3 * 7 * 19 * 883031911209533 * 174198158299578441666647841607       
                                 P+1: 2 * 11 * 2911435957003009734721 * 61325755210319505283641539


- Found by Kurt Beschorner

   May 12, 2016   n = 5685: 384514396466713736537371759951;       B1=1e6; sigma = 1979618104  
                            P30: P-1: 2 * 3 * 5^2 * 89 * 379 * 401 * 983 * 24577939 * 7844202139 
                                 P+1: 2^4 * 23 * 2003 * 26903 * 19390237346934665671 
   Jun 15, 2016   n = 5559: 3454768257833537574682119090531523;   B1=1e6; sigma = 1133486984  
                            P34: P-1: 2 * 3 * 11 * 13 * 17 * 109 * 17653233613283 * 123092599988291
                                 P+1: 2^2 * 19 * 2135060324674969 * 21290956771292771

- visitors since March 09, 2015:
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Factorizations

n =   250; n =   500; n =   750; n = 1000; n = 1250; n = 1500; n = 1750; n = 2000; n = 2250; n = 2500; n = 2750; n = 3000; n = 3250;
n = 3500; n = 3750; n = 4000; n = 4250; n = 4500; n = 4750; n = 5000; n = 5250; n = 5500; n = 5750; n = 6000; n = 6250; n = 6500;
n = 6750; n = 7000; n = 7250; n = 7500; n = 7750; n = 8000; n = 8250; n = 8500; n = 8750; n = 9000; n = 9250; n = 9500; n = 9750;
n = 10000; n = 10250; n = 10500; n = 10750; n = 11000; n = 11250; n = 11500; n = 11750; n = 12000; n = 12250; n = 12500;
n = 12750; n = 13000; n = 13500; n = 14000; n = 14500;