Factorizations of repunit numbers of the form (10n-1)/9 (111111...)

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ECM EFFORTS
with Rn:      323 < n < 2000 (Dec 03, 2019) with Rn:     1999 < n < 3000 (Dec 13, 2019)
with Rn:     2999 < n < 4000 (Jun 12, 2019) with Rn:     3999 < n < 5000 (Jun 12, 2019)
with Rn:     4999 < n < 6000 (Apr 04, 2019) with Rn:     5999 < n < 7000 (Oct 17, 2019)
with Rn:     6999 < n < 8000 (JuL 16, 2019) with Rn:     7999 < n < 9000 (Oct 30, 2019)
with Rn:     8999 < n <10000 (Dec 13, 2019) with Rn:     9999 < n <11000 (Jun 12, 2019)
with Rn:   10999 < n <12000 (Jun 12, 2019) with Rn:   11999 < n <12501 (Mar 16, 2019)




Efforts by   yoyo@home:    ecm-curves
B1 = 43e6/8600 curves/
numbers < 1001 digits
997
working
1233
working
1235
working
1251
working
1255
working
B1 = 11e7/18400 curves/
numbers < 701 digits
571
working
577
working
589
working
593
working
879
working
B1 = 26e7/46000 curves/
numbers < 450 digits
467
working
521
working
1136
working
1142
working
1160
working
B1 = 85e7/75000 curves/
numbers < 250 digits
471
working
585
working
609
working
621
working
675
working



News
-  Last update: Dec 13, 2019          

-  Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt Beschorner 
   Dec 13, 2019   R459, c221; SNFS-difficult = 306 
                  496M unique relations and 549M unique ideals are collected
                  currently progress ~ 66%:   
                  

-  Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt Beschorner;  the R1980M-polynom was 
           created by Maksym Voznyy in cooperation with mersenneforum - thanks!  
   Jul 07, 2019   n =1980M: 1894480662587906626213719003472037744324031299064496778010791034044578628744590947201792481; GNFS 


-  Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt Beschorner 
                  R1740M, c204, GNFS: the R507-polynom was created by Maksym Voznyy - thanks!
                  # lognorm 64.69, E 56.25, alpha -8.43 (proj -2.29), 3 real roots
                  # MurphyE(Bf=1.000e+07,Bg=5.000e+06,area=1.000e+16)=2.47e-15
                  status: ready for sieving  


-  Found by Kurt Beschorner 
   Jun 16, 2019   n =6140M: 42633651269057784211262036586055241;                   B1= 11e6; sigma = 456257847 
   Sep 28, 2019   n =8940M: 2647733864525435357868825323065594021;                 B1= 11e6; sigma = 2165451346
   Oct 14, 2019   n = 1417: 55931448966246130071538810222836707;                   B1= 11e6; sigma = 3780116918
   Dec 03, 2019   n = 9013: 1232659648200408834362715471709133;                    B1= 1e6;  sigma = 0:5076496851656937  
         

-  Found by Bo Chen
   Jul 03, 2019   n = 2029: 245013714487726159144720326081715348604363;            B1= 11e6; sigma = 0:12332245062534318460
      

-  Found by ECMNET/Sam Wagstaff
   Oct 03, 2019   n =1420M: 101956533794009284800765131459172391943780858147641273764890861; ecm 
 
  
-  Found by Alfred Eichhorn 
   Apr 08, 2019   n =87911: 1542310541514371921 * 7204198384......c87892;          B1=11e3; sigma = 0:16558152632722601350
   Aug 11, 2019   n =51673: 8143414287233592839653231187 * 1364429061......c51645; B1= 5e4; sigma = 7054969580827199057 
   Sep 22, 2019   n =51679: 1247742855201912541954231 * 8904968731......c51654;    B1= 5e4; sigma = 1894864779293655113               
   Oct 31, 2019   n =93001: 12570832586559636779231 * 8838802867......c92978;      B1=11e3; sigma = 3743076398710936781
   Nov 21, 2019   n =93827: 2544410332113800320497347 * 4366870771......c93802;    B1=11e3; sigma = 4336063350918828 
      

-  Found by NFS@home 
   Jul 28, 2019   n =  676: 7249657507840161826942418511086116063748219199832125768043099150081; SNFS   
   Jul 28, 2019   n =  676: 232372119876907280822321391951168183308631299658430083807589307649464986270410218850191981; SNFS
   Jul 29, 2019   n =  728: 146922836547557380904624883811070801579636649582426027039761; SNFS
   Jul 29, 2019   n =  728: 1236386443286416000845205982296310762602996796920706630693450425385353425494707969; SNFS
   Oct 13, 2019   n =  626: 589855742530873303648997100606906463934277315614405401704255573694516882878454393085805024793769310885400567; SNFS 
   
   
-  Found by Alfred Reich 
   Jun 11, 2019   n = 3013: 54801984828194245177182941528875876754999;             ecm
   Jun 11, 2019   n = 3375: 9928227087054120839404714671321001;                    ecm
   Jun 11, 2019   n = 3763: 33819951029015563544261960393215363;                   ecm
   Jun 11, 2019   n = 4005: 1867328658390232232662140183278161;                    ecm
   Jun 11, 2019   n = 4541: 3490250651625330786758706967866961;                    ecm

     
-  Found by YOYO@home 
-  YOYO@home/Deltik            
   Jul 10, 2019   n =8220L: 45590288211884086268396615267733422521;                B1= 11e6; sigma = 0:17790716536559808641  
   
-  YOYO@home/Danny    
   Aug 06, 2019   n =2380M: 55722909386297024938297392343519300689842174503366122181; B1= 26e7; sigma = 0:2377822517027304999     
   
-  YOYO@home/Henric   
   Oct 16, 2019   n = 1357: 800551567150597779248843185551955662432161;            B1= 11e6; sigma = 0:13842388622860530632     
                            

Factorizations
Repunits: R1        - R2500 (Nov 20, 2019) Repunits:  R2501 - R5000 (Jun 12, 2019)
Repunits: R5001   - R7500 (Jun 16, 2019) Repunits: R7501 - R10000 (Dec 03, 2019)
Repunits: R10001 - R12500 (Jun 12, 2019) Repunits: R12540LM - R14980LM (Apr 13, 2019)


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