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

Related links:



ECM EFFORTS
with Rn:      323 < n < 2000 (Sep 22, 2018) with Rn:     1999 < n < 3000 (Aug 31, 2018)
with Rn:     2999 < n < 4000 (Sep 18, 2018) with Rn:     3999 < n < 5000 (Oct 15, 2017)
with Rn:     4999 < n < 6000 (Sep 20, 2018) with Rn:     5999 < n < 7000 (Sep 03, 2018)
with Rn:     6999 < n < 8000 (Oct 16, 2017) with Rn:     7999 < n < 9000 (Aug 14, 2018)
with Rn:     8999 < n <10000 (Aug 14, 2018) with Rn:     9999 < n <11000 (Sep 17, 2017)
with Rn:   10999 < n <12000 (Oct 04, 2017) with Rn:   11999 < n <12501 (Oct 05, 2017)




Efforts by   yoyo@home:    ecm-curves
B1 = 43e6/8600 curves/
numbers < 1001 digits
937
working
941
working
947
working
949
working
953
working
B1 = 11e7/18400 curves/
numbers < 701 digits
873
working
875
working
879
working
1202
working
1208
working
B1 = 26e7/46000 curves/
numbers < 450 digits
437
working
1136
working
1142
working
1160
working
2380M
working
B1 = 85e7/75000 curves/
numbers < 250 digits
515
working
585
working
609
working
2420L
working
2460L
working



News
-  Last update: Sep 22, 2018

-  Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt Beschorner 
   Sep 15, 2018   R447/c242/SNFS-difficult 300; 691M unique relations and 614M unique ideals are collected
                  currently progress ~ 95%:   
                  Msieve could build a matrix! The matrix (50.8M) is still a little too big!
                  

Wed Sep 19 06:30:08 2018  Msieve v. 1.54 (SVN 1018)
Wed Sep 19 06:30:08 2018  random seeds: 0a0167e8 d71f72b3
Wed Sep 19 06:30:08 2018  factoring 69321014077064724019571549358862835996841447139912495343062967983949554947479478571581383734991370175536866202887278999373991988107804240628646717482866215329222782659915672388735946673582832868303624397508087015243244997035632300227764933519 (242 digits)
Wed Sep 19 06:30:11 2018  searching for 15-digit factors
Wed Sep 19 06:30:13 2018  commencing number field sieve (242-digit input)
...
Wed Sep 19 06:30:13 2018  commencing relation filtering
Wed Sep 19 06:30:13 2018  setting target matrix density to 80.0
Wed Sep 19 06:30:13 2018  estimated available RAM is 49069.6 MB
Wed Sep 19 06:30:13 2018  commencing duplicate removal, pass 1
Wed Sep 19 10:15:43 2018  skipped 18681 relations with b > 2^32
Wed Sep 19 10:15:43 2018  skipped 494 relations with composite factors
Wed Sep 19 10:15:43 2018  found 93628154 hash collisions in 694492532 relations
Wed Sep 19 10:16:09 2018  added 1 free relations
Wed Sep 19 10:16:09 2018  commencing duplicate removal, pass 2
Wed Sep 19 10:33:53 2018  found 3867785 duplicates and 690624747 unique relations
...
Thu Sep 20 05:33:55 2018  begin with 156635481 relations and 160641179 unique ideals
Thu Sep 20 05:42:24 2018  reduce to 156253890 relations and 153583229 ideals in 8 passes
Thu Sep 20 05:42:24 2018  max relations containing the same ideal: 110
Thu Sep 20 05:47:07 2018  relations with 0 large ideals: 58186
Thu Sep 20 05:47:07 2018  relations with 1 large ideals: 20698
Thu Sep 20 05:47:07 2018  relations with 2 large ideals: 323470
Thu Sep 20 05:47:08 2018  relations with 3 large ideals: 2403042
Thu Sep 20 05:47:08 2018  relations with 4 large ideals: 9820262
Thu Sep 20 05:47:08 2018  relations with 5 large ideals: 24406419
Thu Sep 20 05:47:08 2018  relations with 6 large ideals: 38569389
Thu Sep 20 05:47:08 2018  relations with 7+ large ideals: 80652424
Thu Sep 20 05:47:08 2018  commencing 2-way merge
Thu Sep 20 05:53:07 2018  reduce to 98143491 relation sets and 95472830 unique ideals
Thu Sep 20 05:53:07 2018  commencing full merge
Thu Sep 20 06:59:42 2018  memory use: 11475.1 MB
Thu Sep 20 07:00:32 2018  found 51223212 cycles, need 50855030     <<<====== matrix size
Thu Sep 20 07:00:39 2018  weight of 50855030 cycles is about 4068790946 (80.01/cycle)
Thu Sep 20 07:00:39 2018  distribution of cycle lengths:
Thu Sep 20 07:00:39 2018  1 relations: 6571935
Thu Sep 20 07:00:39 2018  2 relations: 5827526
Thu Sep 20 07:00:39 2018  3 relations: 5823757
Thu Sep 20 07:00:39 2018  4 relations: 5433403
Thu Sep 20 07:00:39 2018  5 relations: 5081758
Thu Sep 20 07:00:39 2018  6 relations: 4554590
Thu Sep 20 07:00:39 2018  7 relations: 4047891
Thu Sep 20 07:00:39 2018  8 relations: 3436052
Thu Sep 20 07:00:39 2018  9 relations: 2796028
Thu Sep 20 07:00:39 2018  10+ relations: 7282090
Thu Sep 20 07:00:39 2018  heaviest cycle: 20 relations
Thu Sep 20 07:06:24 2018  commencing cycle optimization
Thu Sep 20 07:09:05 2018  start with 277292247 relations
Thu Sep 20 07:32:55 2018  pruned 6634895 relations
Thu Sep 20 07:32:56 2018  memory use: 9239.3 MB
Thu Sep 20 07:32:56 2018  distribution of cycle lengths:
Thu Sep 20 07:32:56 2018  1 relations: 6571935
Thu Sep 20 07:32:56 2018  2 relations: 5958538
Thu Sep 20 07:32:56 2018  3 relations: 6023903
Thu Sep 20 07:32:56 2018  4 relations: 5568238
Thu Sep 20 07:32:56 2018  5 relations: 5211416
Thu Sep 20 07:32:56 2018  6 relations: 4634631
Thu Sep 20 07:32:56 2018  7 relations: 4102137
Thu Sep 20 07:32:56 2018  8 relations: 3435498
Thu Sep 20 07:32:56 2018  9 relations: 2760081
Thu Sep 20 07:32:56 2018  10+ relations: 6588653
Thu Sep 20 07:32:56 2018  heaviest cycle: 20 relations
Thu Sep 20 07:43:28 2018  RelProcTime: 90795
...

-  Bo Chen, Wenjie Fang, Alfred Eichhorn, Kurt Beschorner 
   Feb 16, 2018   n = 1030: 2102173879615901190724805905901825960646731569309620829374935176385195435873285181866611; GNFS


-  Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt Beschorner 
   Sep 09, 2018   Next Number: R507, c200, GNFS
                  The R507-polynom was created by Makzym Voznyy in cooperation with mersenneforum - Thanks!


-  Found by Kurt Beschorner 
   Aug 14, 2018   n = 5763: 284156578135574224432914847837;                        B1= 1e6;  sigma= 3029120048

   Sep 18, 2018   n = 5769: 498268955994589849741317466453;                        B1= 1e6;  sigma= 3296470939


-  Found by Alfred Eichhorn 
   May 07, 2018   n =23357: 271754693239811669470333 * 4088654727......c23333;     B1=5e4;  sigma = 13657867932100063494

   May 07, 2018   n =23447: 17021960507400565282497842551 * 6527515503......c23418; B1=5e4; sigma = 7981419157208808342

   May 18, 2018   n =78511: 320033709185399054711 * 3471856492......c78490;         B1=11e3; sigma = 16782052464410323985

   May 18, 2018   n =78853: 711436450651091027 * 1561785469......c78835;            B1=11e3; sigma = 7333631212948291910

   Jul 01, 2018   n =24103: 5627527839932453599792169 * 1974421349......c24078;     B1=5e4;  sigma = 204637590329197301

   Aug 03, 2018   n =24499: 18174893231459131283319569 * 6113439550......c24473;    B1=5e4;  sigma = 8634299472218058874

   Aug 16, 2018   n =24767: 335279891709129662539397 * 7376413727......c24719;      B1=5e4;  sigma = 18035853098425951272

   Aug 16, 2018   n =50129: 6289652660414968016773 * 1766569906......c50107;        B1=5e4;  sigma = 9173810817472448840

   Aug 24, 2018   n =24859: 732758049762982336409489 * 1516341050......c24835;      B1=5e4;  sigma = 13838281173430418896 

   Sep 14, 2018   n =25033: 26379408690395699720505923 * 4212039489......c25007;    B1=5e4;  sigma = 17699047658806986723

   Sep 14, 2018   n =50147: 84543021478589310587493493 * 1314255265......c50121;    B1=5e4;  sigma = 5370675363275971662

   Sep 22, 2018   n =25037: 811768176143826688793987 * 1368754213......c25013;      B1=5e4;  sigma = 11091549647073987954

   
-  Found by  Yousuke Koide  
   Feb 15, 2018   n =  982: 44467075182005846868530065551693426652606026434296940573; B1=12e7; sigma = 2:5690539589092232789


-  Found by Alfred Reich 
   Aug 25, 2018   n = 2000: 2918934658137053157142763595766996896001;              B1= 8e7;  sigma= 1:422066992


-  Found by  Sam Wagstaff
   Jun 30, 2018   n =  776: 89889606269073901082901578436277965983883967076039535258233; ecm


-  Found by YOYO@home 
-  YOYO@home/WhiteFire
   Jun 05, 2018   n =  439: 4420197369389321682193651680706705688987;              B1= 26e7; sigma = 0:18058967600223373828  

-  YOYO@home/WhiteFire  
   Jun 05, 2018   n =  439: 221873542765174880268698440076944289246071;            B1= 26e7; sigma = 0:16712880220435730410   

-  YOYO@home/Deltik
   Jun 26, 2018   n =  929: 443771757418389946333550544711719925863831;            B1= 43e6; sigma = 0:9461729732758165730

-  YOYO@home/ebahapo
   Jun 29, 2018   n = 1321: 31337427608867251262904500110595867;                   B1= 11e6; sigma = 0:3388369777661332901

-  YOYO@home/NeuralMiner
   Jul 04, 2018   n = 1319: 14390577104652629414853222197261272650807833666740820489; B1= 11e6; sigma = 0:9515467317591503677

-  YOYO@home/Deltik
   Jul 26, 2018   n =5660M: 1369840259774549318827876634983169895121;              B1= 11e6; sigma = 0:8001543717994501796

-  YOYO@home/Danny
   Aug 15, 2018   n = 937:  829044297281482845905510544752736064447147;            B1= 43e6; sigma = 0:17347482564892651207

-  YOYO@home/Danny
   Aug 16, 2018   n = 941:  2416277668973171349313713089855425966192452863373961;  B1= 43e6; sigma = 0:8598628182170899200

-  YOYO@home/biodoc
   Aug 24, 2018   n =5860L: 2837267642075799218843167929960912181;                 B1= 11e6; sigma = 0:4074972538232797766

-  YOYO@home/Deltik
   Sep 05, 2018   n = 947:  48654367388531252592760353317455806428703907;          B1= 43e6; sigma = 0:3047487473098335725

-  YOYO@home/CCPLogibro
   Sep 15, 2018   n =1225:  148034167812084215700206443550170966001;               B1= 43e6; sigma = 0:671077335727112008

-  YOYO@home/pi
   Sep 17, 2018   n =5900M: 593243597135622945022444401922545308692618865123732027101; B1= 11e6; sigma = 0:12823567598948732363

-  YOYO@home/Loaded
   Sep 18, 2018   n =1202:  12319072731805329005802468132076248505842564849805129; B1= 11e7; sigma = 0:14036092255227619769

-  YOYO@home/Lennox84
   Sep 19, 2018   n = 463:  212135711098934921098108241314382773839707263659206851643; B1= 26e7; sigma = 0:18442255449381683540



Factorizations
Repunits: R1        - R2500 (Sep 19, 2018) Repunits:  R2501 - R5000 (Sep 13, 2018)
Repunits: R5001   - R7500 (Sep 18, 2018) Repunits: R7501 - R10000 (Feb 11, 2018)
Repunits: R10001 - R12500 (Sep 30, 2017) Repunits: R12540LM - R14980LM (Sep 30, 2017)


Visitors since March 09, 2015: besucherzaehler-homepage.de

Top of page