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



Related links:

Factor tables of Richard Brent
Repunit factors of Torbjörn Granlund
Factorizations of Repunit numbers of Makoto Kamada
Factor tables of Yousuke Koide
Factorizations of numbers of the form 10n+1 of Alfred Reich
Factor tables of Sam Wagstaff
The Ecmnet of Paul Zimmermann
__________________________________________________________________________

Contributions of new factors are welcome - email: Kurt Beschorner

most wanted:
n =  495 / c164 n = 1050 / c165 n =  960 / c172
n =  810 / c173 n =  483 / c180 n =  465 / c181
n = 1620L/c185 n = 1980M/c187 n =  429 / c191
n =  405 / c193 n =  650 / c197 n = 1030/ c199




Efforts:  ecm-curves
ecm details n = ... n = ... n = ... n = ... n = ... n = ... n = ... n = ... n = ...
B1/B2: 5e4/269e6
135 curves
< 12500                
B1/B2: 1e6/2167e6
400 curves
odd:
>c2400
and
<c2953
               
B1/B2: 1e6/2167e6
450 curves
all L/M-
numbers
< 14700
               
B1/B2: 3e6/1500 curves 13620L/M 14220L/M 14340L 14460L/M 14580L/M        
B1 = 5e6/
1500 curves
12900L/M 13020M 13140L/M 13260L/M 13380L/M 13500M 13740L/M 13860L/M 13980L/M
14100M 14700L
working
             


Efforts by   yoyo@home:    ecm-curves
ecm details n = ... n = ... n = ... n = ... n = ... n = ... n = ... n = ... n = ...
B1 = 43e6/
8000 curves
1001 1003 1005 1006 1007 1009 1011 1013 1017
1018 1019 1022 1024 1025 1027 1033 1037 1043
1051 1055
working
1057
working
1058 1078 1106 1130 1150 1196
1210 1240 2070 2500M 5020L/M 5060M 1512 5140L 5180L/M
5220L/M 5340M 5500L            
B1 = 11e7/
17500 curves
1012 1015 1016 1023 1028 1029 1035 1036 1040
1041 1042
working
1045
working
1046 1047
working
1048
working
1052
working
1053 1054
working
1059
working
1064 1066
working
1086 1548 1710 2020L 2130 2500L
working
B1 = 26e7/
42200 curves
1008 1014 1038
working
1056
working
1340L 1420L/M
working
1460L
working
   
B1 = 85e7/
40000 curves
1030 1050
working
1540M
working
           


News

           
 
- Last update May 26, 2012   
  

- Found by Serge Batalov  

   May  07, 2012   n = 3448: 334604559375674569265038978541053577; B1=5e5; sigma = 8011728369711297
   May  08, 2012   n = 3376: 4141680318531350547940014932753;      B1=3e6; sigma = 4632880701531239
   May  08, 2012   n = 3602: 337404209535185765240396972124803971 
   May  09, 2012   n = 5882: 4568004545617286874649621164767;      B1=5e5; sigma = 2603053401920451
   May  11, 2012   n = 5766: 104274315198051542548629408277973929; B1=1e6; sigma = 3247336838
                   

- Found by Maksym Voznyy 

   Apr  15, 2012   n =59333: 4153874780823693533 * 2674878684......c59314;         P-1     
   Apr  16, 2012   n =49057: 25464421788457818609283 * 4363386376......c49034;     P-1     
   Apr  16, 2012   n =49169: 83357049931926677 * 1332953975......49152;            P-1     
   Apr  16, 2012   n =53881: 1287061585963352314763761 * 8632928860......c53856;   P-1     
   Apr  16, 2012   n =53899: 261347691064163573 * 4251467103......c53881;          P-1     
   Apr  17, 2012   n =49891: 8744070540393188293 * 1270702364......c49872;         P-1     
   Apr  18, 2012   n =60611: 4435834238059187 * 2504852642......c60595;            P-1     
   Apr  18, 2012   n =55333: 3431946085466109997 * 3237554097......c55314;         P-1     
   Apr  18, 2012   n =60727: 3925032863367438339075763 * 2830832631......c60702;   P-1     
   Apr  19, 2012   n =50647: 2163832143133258772819009 *  5134922848......c50622;  P-1     
  

Correction

Apr 20, 2012 n =51361: 93266394408224756839 * 1191330616......c51341; P-1 Apr 20, 2012 n =61471: 45408706953822649 * 2446912025......c61454; P-1 Apr 20, 2012 n =61547: 1012154722888328711 * 1097768044.......c61529; P-1 Apr 20, 2012 n =61553: 280675589260179324467 * 3958702336......c61532; P-1 Apr 21, 2012 n =56773: 2679662348767263110973054679 * 4146459391......c56745;P-1 Apr 21, 2012 n =61751: 9936817636480717 * 1118176011......c61735; P-1 Apr 21, 2012 n =61879: 2968737102673534715221493 * 3742706318......c61854; P-1 Apr 22, 2012 n =62129: 3460414838068803529 * 3210918814......c62110; P-1 Apr 23, 2012 n =62473: 937686550339932947 * 1184949395......c62455; P-1 Apr 24, 2012 n =62683: 87180239117689493 * 1274498811......c62666; P-1 Apr 24, 2012 n =62869: 248048617526683601 * 4479408602......c62851; P-1 Apr 24, 2012 n =62873: 21674603679880147 * 5126327233......c62856; P-1 Apr 26, 2012 n =64123: 15553238721422827642176906753704641 * 7143921153......c64088; P-1 Apr 26, 2012 n =65111: 40189998611652919 * 2764645806......c65094; P-1 Apr 27, 2012 n =86452: 570418256605571430441854761295221 * 1735742147......c43192; P-1 Apr 30, 2012 n =86452: 2134025369282221135121 * 8133652827......c43170; B1=5e4; sigma = 6566162904020874 May 07, 2012 n =60353: 49937331685150627 * 2225010975......c60336; mfactc May 07, 2012 n =61613: 36661858208748427 * 3030700475......c61596; mfactc May 07, 2012 n =61681: 139216722293995279 * 7981161262......c61663; mfactc - Found by YOYO@home M. Yamaga May 15, 2012 n = 1059: 18845059790305644506208462756813674936893; B1=11e7; sigma = 2302692400 - Found by Kurt Beschorner Apr 13, 2012 n =12447: 2386295240864941803277; B1=5e4; sigma = 3038201187 Apr 13, 2012 n =91631: 6298288553650963 * 438585048694376483 * 1219371543......c91591; mfaktc Apr 17, 2012 n =12463: 10333368198032025917; B1=5e4; sigma = 3043126702 Apr 17, 2012 n =91703: 11894793938848519 * 1522307831......c91668; mfaktc Apr 18, 2012 n =12485: 15819892720291134332111; B1=5e4 Apr 21, 2012 n = 2903: 866961226746706175719163; B1=1e6; sigma = 2898921534 Apr 21, 2012 n = 2903: 1367490802700045230681429027; B1=1e6; sigma = 2607979357 Apr 23, 2012 n =91801: 72356509790234471 * 2200993773......c91777; mfaktc Apr 24, 2012 n = 1063: 97084995925935672818356361735759682107; B1=11e6; sigma = 489911917 Apr 25, 2012 n = 2903: 3377467159524763583567284852919;B1=1e6; sigma = 1709812425 Apr 25, 2012 n = 2909: 78840881836549365685620771467; B1=1e6; sigma = 2305029924 Apr 26, 2012 n =89021: 8357611810673813 * 1329460061......c89005; mfaktc Apr 26, 2012 n =89189: 53369373110706827 * 2081926480......c89172; mfaktc Apr 27, 2012 n = 2909: 32681476090729170742648645987; B1=1e6; sigma = 2619504565 Apr 28, 2012 n = 2989: 39416278406869628711410895443; B1=1e6; sigma = 3985611708 Apr 28, 2012 n =89269: 87147983999252089 * 1274970527......c89252; mfactc Apr 30, 2012 n = 2983: 10916586855858135306721190092787; B1=1e6; sigma = 3467841127 Apr 30, 2012 n =89519: 5609651369390759 * 1980713306......c89503; mfactc Apr 30, 2012 n =89909: 82098955735260809 * 1353380321......c89892; mfactc May 25, 2012 n =12481: 39038402888210018306501041; B1=5e4; sigma = 2377774481 May 25, 2012 n = 1068: 833845535443385228657693694666672878355349; B1=11e7; sigma = 3174974279 May 25, 2012 n =14780M:36990644071321356338684921501; B1=1e6; sigma = 3683116053 May 26, 2012 n = 2923: 70214172593300381289706186013; B1=1e6; sigma = 948909098 May 26, 2012 n = 2939: 6444879122514749266530495806867;B1=1e6; sigma = 974712643 May 26, 2012 n = 2941: 8252809180417323588936656933; B1=1e6; sigma = 608431441 May 26, 2012 n = 2951: 1793392925247754151225772956256169; B1=1e6; sigma = 3954214399 May 26, 2012 n =14860L:2488780743440597032917202389845101; B1=1e6; sigma = 2032575349 - visitors since March 26, 2010: counter

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;



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