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



Related links:

Factor tables of Richard Brent
Jonathan Crombies extensive factor tables
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 (Jun 07, 2016) with Rn:     1999 < n < 3000 (May 24, 2016)
with Rn:    2999 < n < 4000 (Apr 16, 2015) with Rn:     3999 < n < 6000 (Jun 24, 2016)



Efforts by   yoyo@home:    ecm-curves
B1 = 43e6/6400 curves/
numbers < 1001 digits
1137
working
1141
working
1143
working
1145
working
1147
working
B1 = 11e7/13500 curves/
numbers < 601 digits
1131
working
1136
working
1154
working
1166
working
1167
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
2460L
working
2700M
working
 



News

  
 
- Last update: Jun 24, 2016  
    


- Bo Chen/Wenjie Fang/Alfred Reich/Alfred Eichhorn/Maksym Voznyy/Kurt Beschorner
  
   Jun 24, 2016   R343/c238: SNFS-difficult 294 - sieving: 660M unique relations are collected
   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


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


- Found by Alfred Eichhorn

   Mar 09, 2016   n =41597: 25080615271076433241 * 4430158905......c41577;  B1=11e3; sigma = 980086188
   Mar 09, 2016   n =42071: 99108383613936880597208111 * 1121107085......c42045; B1=11e3;  sigma = 2701130461
   Mar 14, 2016   n =43441: 8522590251042924773 * 1303724663......c43422;   B1=11e3; sigma = 1577853969
   Mar 25, 2016   n =43777: 4139925534720017738921 * 2683891538......c43755; B1=11e3; sigma = 1323024943
   Mar 25, 2016   n =44059: 748611401356592064758603 * 1484229480......c44035; B1=11e3; sigma = 3759316428
   Mar 25, 2016   n =44207: 7736180392063198877 * 1436252846......c44188;   B1=11e3; sigma = 1343941583
   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


- Found by NFS@home 

   Feb 26, 2016   n =  596: 12463671098882718881327685400890631793963396331809714158641277443477408779299864788341586092901595083520271865575162918829366361; SNFS 
   congratulations!


- Found by YOYO@home

   Christian  
   Feb 26, 2016   n = 1230: 1843455308146833369419577117401177102515401880306453871619994561; B1= 85e7; sigma = 3023659865 
                            P64: P-1: 2^6 * 3 * 5* 41 * 1896492613237 * 24695985870576305890076142092943357865632408533
                                 P+1: 2 * 4447 * 391450063 * 529491656205878267954320962926880290116228757179921 
   congratulations!


- 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

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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;