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



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Contributions of new factors are welcome. Please send them by email to Kurt Beschorner


most wanted:

      · n = 840/c150    reserved by Juno Fernadez   
      · n = 980/c159    · n = 572/c161    · n = 556/c162    · n =1060L/c162    · n = 495/c164    
      · n = 870/c164    · n =1050/c165    · n = 876/c166    · n =  616/c167    · n = 509/c509


Efforts: ecm-curves
composite
n = .....
B1 = 12e3
B2 = 1e7
B1 = 5e4
B2 = 269e6
B1 = 11e6
B2 = 30e9 or
111e9
B1 = 43e6
B2 = 198e9 or
565e9
1005     4000    
1012     4000    
1036      4600 *  
1064      4600 *  
1070      4600 *  
1104     4000    
1155     4000    
1160      4600 *  
1284      4600 *  
1296      4600 *  
1360      4600 *  
1368     4000    
1464      4600 *  
1476      4600 *  
1518     4000    
1590      4600 *  
1596      4600 *  
2010     4000    
1008       7000  
1078        8000 *
1314        8000 *
1330       working
1890       working
n<6107   150    
n>6107 50      
* execution: yoyo@home


News

-  Last update February 08, 2010 


- Found by Raman 

   January 20, 2010,    n =  678: 5397511769683444928966129716536741688329069042441479613115913313907895924533; SNFS     
   January 24, 2010,    n =  702: 6862390300547244074038319769783944997739006024946890580945655121; SNFS     


- Found by Yousuke Koide 

   January   09, 2010,  n = 1640: 29538470069644094847727632948024527616881;      B1 = 3e6; sigma = 301943565  
   January   30, 2010,  n = 1760: 585903038877880401685466313109511755841;        B1 = 3e6; sigma = 751380134         


- Found by NFS@home 
   February  01, 2010,  n =  536: 188559663327876471888363315685992845311774522520360566601659121  


- Found by yoyo@home     
   FrankHagen/tr0ach
   January   29, 2010,  n = 1596: 2849804328237327770070659524861030390352218741; B1 =11e6; sigma = 2646246157      
  
  
- Found by Kurt Beschorner:

   January   11, 2010,  n = 7419: 516390829397368901160967279; B1 = 5e4; sigma = 1194027078 
   January   11, 2010,  n = 7443: 83067691225124320472521;     B1 = 5e4; sigma = 365598253 
   January   11, 2010,  n = 7479: 276262730482629541075742219041; B1=5e4;sigma = 4051465356      
   January   11, 2010,  n = 7509: 802537154821654818817987;    B1 = 5e4; sigma = 634412601        
   January   23, 2010,  n = 6101: 155963500829072104888711;    B1 = 5e4; sigma = 23158250   
   January   23, 2010,  n = 6745: 42073519274239888745041;     B1 = 5e4; sigma = 3233615447        
   January   23, 2010,  n = 8007: 27852671235669832453201603;  B1 = 5e4; sigma = 2952645462        
   Limitation: n < 11981    
   January   26, 2010,  n = 7587: 9311929881470718609907;      B1 = 5e4; sigma = 198039920 
   January   26, 2010,  n = 9465: 1861496768312613329139601;   B1 = 5e4; sigma = 1430625242   
   January   26, 2010,  n = 9933: 11279305217172038788453569397; B1=5e4; sigma = 1210570375   
   January   26, 2010,  n =11925: 360893784959551;             B1 =12e3 
   January   26, 2010,  n =11943: 55602169813999;              B1 =12e3 
   January   26, 2010,  n =11943: 7873441489647769843;         B1 =12e3 
   January   26, 2010,  n =11967: 545212960809731839;          B1 =12e3 
   January   26, 2010,  n =11973: 266328286172677;             B1 =12e3 
   January   26, 2010,  n =11975: 971961531229270801;          B1 =12e3 
   January   30, 2010,  n = 6665: 463139879201040199681;       B1 = 5e4; sigma = 330354748   
   January   30, 2010,  n = 6665: 5461142103007183536806521;   B1 = 5e4; sigma = 405453310      
   January   30, 2010,  n = 6665: 33894365204988203207748431;  B1 = 5e4; sigma = 1373675144      
   January   30, 2010,  n = 7525: 838967230629158114216951;    B1 = 5e4; sigma = 2562459122   
   January   30, 2010,  n = 9465: 135067463767153346656073438791; B1 = 5e4; sigma = 946108937   
   Limitation: n < 12001    
   February  02, 2010,  n = 7593: 3855034522381750370083609;   B1 = 5e4; sigma = 1431473045    
   February  02, 2010,  n =11985: 716479804803694445881;       B1 = 5e4; sigma = 3244155868    
   February  02, 2010,  n =11985: 1291370657387790535921;      B1 = 5e4; sigma = 479204109     
   February  02, 2010,  n =11999: 1170045797619729220378631;   B1 =12e3; sigma = 844459082 
   February  08, 2010,  n = 7563: 509620042690984575722173;    B1 = 5e4; sigma = 1201809453       
   February  08, 2010,  n = 7563: 7130605988466340576054231;   B1 = 5e4; sigma = 3533500159  
   February  08, 2010,  n = 7653: 157414892316571227668132014957;B1=5e4; sigma = 1260378011  

Corrections


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;