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


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-  Last update: Jun 24, 2021    

-  Found by Kurt Beschorner                         
   Jun 24, 2021   n=234029: 8215370869268922169;                                    gr-mfaktc
   Jun 24, 2021   n=234121: 175395088478556043;                                     gr-mfaktc
   Jun 24, 2021   n=234131: 172639745979901667;                                     gr-mfaktc
   Jun 24, 2021   n=234131: 5977212639625303031;                                    gr-mfaktc
   Jun 24, 2021   n=234203: 3242243999061254431;                                    gr-mfaktc
   Jun 24, 2021   n=234259: 72105849739243483;                                      gr-mfaktc
   Jun 24, 2021   n=234281: 79278472847868089;                                      gr-mfaktc
   Jun 24, 2021   n=234319: 5099855027160436321;                                    gr-mfaktc
   Jun 24, 2021   n=234589: 3177000334628616479;                                    gr-mfaktc
   Jun 24, 2021   n=234727: 1084288024769638361;                                    gr-mfaktc
   Jun 24, 2021   n=234733: 3495165735723576199;                                    gr-mfaktc
   Jun 24, 2021   n=234743: 663883390524909991;                                     gr-mfaktc
   Jun 24, 2021   n=234799: 4583823600816158879;                                    gr-mfaktc
   Jun 24, 2021   n=234893: 1778800899523469561;                                    gr-mfaktc
   Jun 24, 2021   n=234977: 167402589309145493;                                     gr-mfaktc
   Jun 24, 2021   n=234979: 165149830933217597;                                     gr-mfaktc
   Jun 24, 2021   n=235009: 912564477544461683;                                     gr-mfaktc
   Jun 24, 2021   n=235117: 7052228219721068191;                                    gr-mfaktc
   Jun 24, 2021   n=235489: 237723582774944249;                                     gr-mfaktc
   Jun 24, 2021   n=235489: 4081219474141274711;                                    gr-mfaktc
   Jun 24, 2021   n=235519: 79773865942460801;                                      gr-mfaktc
   Jun 24, 2021   n=235553: 4951741202918725987;                                    gr-mfaktc
   Jun 24, 2021   n=235849: 98955952217075203;                                      gr-mfaktc


-  Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt Beschorner 
   Jun 24, 2021   R1740M, c204, GNFS:
                  - msieve-filtering: well done
                  - msieve-linear algebra completed 48100000 of 49514384 dimensions (ETA 47 hours)
                  - I think we found a good balance between the number of unique r. relations and the matrix size 
                  - msieve-log-file:
Sat Apr 17 09:21:05 2021  Msieve v. 1.53 (SVN unknown)
Sat Apr 17 09:21:05 2021  random seeds: ca4ab918 5ab96ba7
Sat Apr 17 09:21:05 2021  factoring 131530344752500531973366175234450924350818650273749175535608297557535517691257001851075669039105083565947532142733020300358168725328898559788675357243034349825598797613375635300708831058228182388355784661 (204 digits)
Sat Apr 17 09:21:06 2021  searching for 15-digit factors
Sat Apr 17 09:21:07 2021  commencing number field sieve (204-digit input)
Sat Apr 17 09:21:07 2021  R0: -3373811031078855887988445262998571743799
Sat Apr 17 09:21:07 2021  R1: 11509880545207076757558
Sat Apr 17 09:21:07 2021  A0: -1011605031457446800403474711756529386281885525624
Sat Apr 17 09:21:07 2021  A1: -156658770946669316726156600541248344076761
Sat Apr 17 09:21:07 2021  A2: -813140174642815037619795427014835
Sat Apr 17 09:21:07 2021  A3: 14070112777299305509364632
Sat Apr 17 09:21:07 2021  A4: 9754532376000330
Sat Apr 17 09:21:07 2021  A5: 10832400
Sat Apr 17 09:21:07 2021  skew 165672963.55, size 4.433e-020, alpha -8.434, combined = 2.467e-015 rroots = 3
Sat Apr 17 09:21:07 2021  commencing relation filtering
Sat Apr 17 09:21:07 2021  setting target matrix density to 130.0
Sat Apr 17 09:21:07 2021  estimated available RAM is 130983.0 MB
Sat Apr 17 09:21:07 2021  commencing duplicate removal, pass 1
Sat Apr 17 11:22:02 2021  found 100488337 hash collisions in 731371426 relations
Sat Apr 17 11:22:35 2021  added 20415 free relations
Sat Apr 17 11:22:35 2021  commencing duplicate removal, pass 2
Sat Apr 17 11:32:33 2021  found 107 duplicates and 731391734 unique relations
Sat Apr 17 11:32:33 2021  memory use: 4262.0 MB
Sat Apr 17 11:32:33 2021  reading ideals above 557645824
Sat Apr 17 11:32:33 2021  commencing singleton removal, initial pass
Sat Apr 17 13:21:46 2021  memory use: 11024.0 MB
Sat Apr 17 13:21:47 2021  reading all ideals from disk
Sat Apr 17 13:21:56 2021  memory use: 13589.9 MB
Sat Apr 17 13:23:04 2021  commencing in-memory singleton removal
Sat Apr 17 13:24:15 2021  begin with 731391734 relations and 615009841 unique ideals
...
Sun Apr 18 05:08:01 2021  reduce to 173281768 relations and 170225889 ideals in 6 passes
Sun Apr 18 05:08:01 2021  max relations containing the same ideal: 110
Sun Apr 18 05:12:16 2021  relations with 0 large ideals: 9183
Sun Apr 18 05:12:16 2021  relations with 1 large ideals: 29252
Sun Apr 18 05:12:16 2021  relations with 2 large ideals: 447816
Sun Apr 18 05:12:16 2021  relations with 3 large ideals: 3154807
Sun Apr 18 05:12:16 2021  relations with 4 large ideals: 12252963
Sun Apr 18 05:12:16 2021  relations with 5 large ideals: 28991048
Sun Apr 18 05:12:16 2021  relations with 6 large ideals: 43939783
Sun Apr 18 05:12:16 2021  relations with 7+ large ideals: 84456916
Sun Apr 18 05:12:16 2021  commencing 2-way merge
Sun Apr 18 05:17:20 2021  reduce to 112664275 relation sets and 109608396 unique ideals
Sun Apr 18 05:17:20 2021  commencing full merge
Sun Apr 18 06:46:56 2021  memory use: 13331.7 MB
Sun Apr 18 06:47:48 2021  found 49742886 cycles, need 49516596   <<<=== matrix size ===>>>
Sun Apr 18 06:47:52 2021  weight of 49516596 cycles is about 6437691509 (130.01/cycle)
Sun Apr 18 06:47:52 2021  distribution of cycle lengths:
Sun Apr 18 06:47:52 2021  1 relations: 3155824
Sun Apr 18 06:47:52 2021  2 relations: 3360458
Sun Apr 18 06:47:52 2021  3 relations: 3577094
Sun Apr 18 06:47:52 2021  4 relations: 3559942
Sun Apr 18 06:47:52 2021  5 relations: 3617633
Sun Apr 18 06:47:52 2021  6 relations: 3516452
Sun Apr 18 06:47:52 2021  7 relations: 3438818
Sun Apr 18 06:47:52 2021  8 relations: 3283726
Sun Apr 18 06:47:52 2021  9 relations: 3111659
Sun Apr 18 06:47:52 2021  10+ relations: 18894990
Sun Apr 18 06:47:52 2021  heaviest cycle: 28 relations
Sun Apr 18 06:57:04 2021  commencing cycle optimization
Sun Apr 18 07:00:46 2021  start with 420510148 relations
Sun Apr 18 07:43:37 2021  pruned 18910701 relations
Sun Apr 18 07:43:37 2021  memory use: 11452.8 MB
Sun Apr 18 07:43:38 2021  distribution of cycle lengths:
Sun Apr 18 07:43:38 2021  1 relations: 3155824
Sun Apr 18 07:43:38 2021  2 relations: 3457913
Sun Apr 18 07:43:38 2021  3 relations: 3737619
Sun Apr 18 07:43:38 2021  4 relations: 3713619
Sun Apr 18 07:43:38 2021  5 relations: 3793731
Sun Apr 18 07:43:38 2021  6 relations: 3680313
Sun Apr 18 07:43:38 2021  7 relations: 3608148
Sun Apr 18 07:43:38 2021  8 relations: 3432946
Sun Apr 18 07:43:38 2021  9 relations: 3240856
Sun Apr 18 07:43:38 2021  10+ relations: 17695627
Sun Apr 18 07:43:38 2021  heaviest cycle: 28 relations
Sun Apr 18 07:55:34 2021  RelProcTime: 81267
Sun Apr 18 07:55:34 2021  elapsed time 22:34:29      


-  Found by Kurt Beschorner                         
   Jun 17, 2021   n =30000: 39991809070061802000001;                                ecm: B1 = 1e6; sigma = 3166126587942973  
   Jun 17, 2021   n=232051: 15694378910538830933;                                   gr-mfaktc
   Jun 17, 2021   n=232189: 149085212391132373;                                     gr-mfaktc
   Jun 17, 2021   n=232457: 1567248364848128089;                                    gr-mfaktc
   Jun 17, 2021   n=232633: 4904496424011583001;                                    gr-mfaktc
   Jun 17, 2021   n=232663: 4749088138061708627;                                    gr-mfaktc
   Jun 17, 2021   n=232681: 190828233459808667;                                     gr-mfaktc
   Jun 17, 2021   n=232919: 5863051280626541591;                                    gr-mfaktc
   Jun 17, 2021   n=233113: 384812996873138479;                                     gr-mfaktc
   Jun 17, 2021   n=233141: 3630426445017744079;                                    gr-mfaktc
   Jun 17, 2021   n=233267: 229132242762607319;                                     gr-mfaktc
   Jun 17, 2021   n=233267: 1115208077263318853;                                    gr-mfaktc
   Jun 17, 2021   n=233417: 12837922552213112489;                                   gr-mfaktc
   Jun 17, 2021   n=233423: 747305485147290317;                                     gr-mfaktc
   Jun 17, 2021   n=233437: 792032739766505723;                                     gr-mfaktc
   Jun 17, 2021   n=233713: 922721612868790799;                                     gr-mfaktc
   Jun 17, 2021   n=233777: 608804644035314653;                                     gr-mfaktc
   Jun 17, 2021   n=233921: 6103315421725379237;                                    gr-mfaktc
   Jun 17, 2021   n=233993: 2354872647586577507;                                    gr-mfaktc


-  Found by Kurt Beschorner                         
   Jun 11, 2021   n=10180M: 618469348886528986386736868045981 * 5896029167......P1967; ecm: B1 =11e6; sigma = 0:138044562091769  
   Jun 11, 2021   n=94020M: 2548383691858034221;                                    ecm: B1 =25e4; sigma = 0:5896773875895457563  
   Jun 11, 2021   n=94020M: 851237404580697489961;                                  ecm: B1 =25e4; sigma = 0:3125704586924728109  

 
-  Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt Beschorner 
   Jun 11, 2021   R1008, c249, SNFS-difficult = 288 
                  438M unique r. relations and 528M unique ideals are collected
                  currently progress ~ 60%;    


-  Found by Kurt Beschorner                         
   Jun 09, 2021   n =5700M: 214098531848960682375313931062057408227354489641401;    ecm: B1 =43e6; sigma = 0:1218120574389352  

  
-  Correction: find out by Makoto Kamada
   Jun 07, 2021  false:       Jun 07, 2021   n=231821: 125487823297597151;  
   Jun 07, 2021  correct:     Jun 07, 2021   n=231821: 125482329778597151;  

                                                                 
                                      
-  Found by Kurt Beschorner                         
   Jun 07, 2021   n=64260M: 602071447910713201;                                     ecm: B1 = 1e6; sigma = 0:12677614305988117273  
   Jun 07, 2021   n=230047: 78746051978526241;                                      gr-mfaktc
   Jun 07, 2021   n=230357: 76975545777987107;                                      gr-mfaktc
   Jun 07, 2021   n=230501: 108202949009734121;                                     gr-mfaktc
   Jun 07, 2021   n=230779: 1912711472817779831;                                    gr-mfaktc
   Jun 07, 2021   n=230833: 173854061031735089;                                     gr-mfaktc
   Jun 07, 2021   n=230833: 7601940260842208693;                                    gr-mfaktc
   Jun 07, 2021   n=230861: 7570887592320937889;                                    gr-mfaktc
   Jun 07, 2021   n=230873: 990360663046504163;                                     gr-mfaktc
   Jun 07, 2021   n=230891: 17402402026623709729;                                   gr-mfaktc
   Jun 07, 2021   n=230939: 1600193497863035707;                                    gr-mfaktc
   Jun 07, 2021   n=230959: 15894295946527067431;                                   gr-mfaktc
   Jun 07, 2021   n=230969: 122066208528063403;                                     gr-mfaktc
   Jun 07, 2021   n=231197: 13619230688484914711;                                   gr-mfaktc
   Jun 07, 2021   n=231223: 4908568512167867957;                                    gr-mfaktc
   Jun 07, 2021   n=231289: 905543379182487961;                                     gr-mfaktc
   Jun 07, 2021   n=231299: 755953308156952043;                                     gr-mfaktc
   Jun 07, 2021   n=231409: 2094336088340204987;                                    gr-mfaktc
   Jun 07, 2021   n=231431: 1411453396656092837;                                    gr-mfaktc
   Jun 07, 2021   n=231493: 425846617734441289;                                     gr-mfaktc
   Jun 07, 2021   n=231631: 13760790439576993357;                                   gr-mfaktc
   Jun 07, 2021   n=231779: 363515424375507329;                                     gr-mfaktc
   Jun 07, 2021   n=231799: 6436226881590743591;                                    gr-mfaktc
   Jun 07, 2021   n=231821: 125487823297597151; corrected: Jun 08,2021              gr-mfaktc
 

      
-  Found by Alfred Eichhorn 
   Jun 05, 2021   n =41077: 1963136230803261055657813 * 5659877769......c41052;     ecm: B1 = 5e4; sigma = 7820758842106039 

              
-  Found by Kurt Beschorner                         
   Jun 02, 2021   n =7500L: 48207545174782975493383750875127027725001;              ecm: B1 = 43e6; sigma = 0:7630000256316624  

           
-  Found by Kurt Beschorner                         
   May 29, 2021   n=229037: 1705505054821867489;                                    gr-mfaktc
   May 29, 2021   n=229093: 2127882148430908853;                                    gr-mfaktc
   May 29, 2021   n=229213: 1810307076949938649;                                    gr-mfaktc
   May 29, 2021   n=229403: 5828609083556274467;                                    gr-mfaktc
   May 29, 2021   n=229409: 4618383564203001041;                                    gr-mfaktc
   May 29, 2021   n=229423: 1091544121886699249;                                    gr-mfaktc
   May 29, 2021   n=229459: 10516067428353219107;                                   gr-mfaktc
   May 29, 2021   n=229487: 321768362056466323;                                     gr-mfaktc
   May 29, 2021   n=229549: 1979476283829342031;                                    gr-mfaktc
   May 29, 2021   n=229627: 190740618900172049;                                     gr-mfaktc
   May 29, 2021   n=229631: 437239814010372563;                                     gr-mfaktc
   May 29, 2021   n=229763: 1860799902294640787;                                    gr-mfaktc
   May 29, 2021   n=229771: 967687791963421729;                                     gr-mfaktc


-  Found by Kurt Beschorner                         
   May 28, 2021   n = 9315: 1979969702769616223206181829684818071;                  ecm: B1 = 3e6; sigma = 0:8529503709117214  

      
-  Found by Kurt Beschorner                         
   May 27, 2021   n=64260L: 6622965059352315389973181;                              ecm: B1 = 1e6; sigma = 0:17596343613092824574  
   May 27, 2021   n=228077: 94192546200714569;                                      gr-mfaktc 
   May 27, 2021   n=228139: 1374856240189138013;                                    gr-mfaktc 
   May 27, 2021   n=228203: 3548885022024523031;                                    gr-mfaktc 
   May 27, 2021   n=228353: 673783478249915641;                                     gr-mfaktc 
   May 27, 2021   n=228577: 625813082621162693;                                     gr-mfaktc 
   May 27, 2021   n=228581: 238830631022126917;                                     gr-mfaktc 
   May 27, 2021   n=228587: 3296141936466731921;                                    gr-mfaktc 
   May 27, 2021   n=228593: 4726383715694368471;                                    gr-mfaktc 
   May 27, 2021   n=228619: 5605249366191505391;                                    gr-mfaktc 
   May 27, 2021   n=228737: 7974300034061926277;                                    gr-mfaktc 
   May 27, 2021   n=228841: 8817512666875110893;                                    gr-mfaktc 
   May 27, 2021   n=228869: 541100869023505517;                                     gr-mfaktc 
   May 27, 2021   n=228869: 984479243838930677;                                     gr-mfaktc 
   May 27, 2021   n=228953: 5156302757530016359;                                    gr-mfaktc
   
   
-  Found by Kurt Beschorner 
   May 22, 2021   n =16667: 3947239369512426079 * 1052426686......c14245;           ecm: B1 = 5e4; sigma = 0:954925097974726 
   May 22, 2021   n=150003: 13429267242949059517;                                   ecm: B1 = 5e4; sigma = 0:3101963270112704 


-  Found by Kurt Beschorner        
   May 19, 2021   n=100037: 29637670240923588791513413;                             ecm: B1 = 5e4; sigma = 0:4048588861662294
   May 19, 2021   n=227053: 15467400284016675311;                                   gr-mfaktc
   May 19, 2021   n=227089: 136467873861783077;                                     gr-mfaktc
   May 19, 2021   n=227399: 247033911979333729;                                     gr-mfaktc
   May 19, 2021   n=227419: 1137737547523054921;                                    gr-mfaktc
   May 19, 2021   n=227471: 1211892962522104609;                                    gr-mfaktc
   May 19, 2021   n=227489: 2482595654373204329;                                    gr-mfaktc
   May 19, 2021   n=227533: 75246664153403641;                                      gr-mfaktc
   May 19, 2021   n=227627: 629676137742006991;                                     gr-mfaktc
   May 19, 2021   n=227653: 4560148890672159563;                                    gr-mfaktc
   May 19, 2021   n=227707: 8065404759495333031;                                    gr-mfaktc
   May 19, 2021   n=227797: 299215061031313439;                                     gr-mfaktc
   May 19, 2021   n=227951: 5884508779162389203;                                    gr-mfaktc
   May 19, 2021   n=227989: 539450085886803323;                                     gr-mfaktc

 
-  Found by Yousuke Koide  
   May 15, 2021   n =1620L: 216228542818328308783433809596084627890392881018159564738348653328755727601; SNFS 

ÿ  ?
-  Found by Kurt Beschorner 
   May 13, 2021   n = 6001: 4891012142136348517404673727015993959;                  ecm: B1 = 1e6; sigma =0:6324268175647661 

       
-  Serge Batalov, Ryan Propper
   May 09, 2021   n=8177207 is probable prime - congratulations!
                  see: https://mersenneforum.org/showthread.php?p=578079#post578079


-  Found by Alfred Eichhorn 
   May 07, 2021   n= 59351: 2460450677754144414887557 * 4515884513......c59326;     ecm: B1 = 5e4; sigma = 0:4294405550077682 
   May 07, 2021   n= 95527: 13955681448587740311701347 * 1280603465......c95478;    ecm: B1 = 5e4; sigma = 0:2908964832870371


-  Found by Kurt Beschorner 
   May 07, 2021   n=11220M: 16930380233308606707892880902447984978624096501;        ecm: B1 =43e6; sigma = 0:863078287696667 
   May 07, 2021   n=100019: 2369446454946296317873849 * 3954505151......c99962;     ecm: B1 = 5e4; sigma = 0:411156440346518 


-  Found by Kurt Beschorner 
   May 02, 2021   n = 6079: 61182767215009075574812972501787;                       ecm: B1 = 1e6; sigma = 0:6573795364083891  
   May 02, 2021   n =12519: 4142429561097371437530391 * 1204600084......c7589;      Prime95: B1 = 1e6; sigma = 6003805306615619 
   May 02, 2021   n=150003: 13429267242949059517;                                   Prime95: B1 = 5e4; sigma = 5440031747720602 

ÿ  ?
-  Found by Kurt Beschorner 
   Apr 27, 2021   n=226007: 4096985547143801107;                                    gr-mfaktc
   Apr 27, 2021   n=226013: 1749160943839460111;                                    gr-mfaktc
   Apr 27, 2021   n=226169: 11491302653436030881;                                   gr-mfaktc
   Apr 27, 2021   n=226183: 75615602414169361;                                      gr-mfaktc
   Apr 27, 2021   n=226367: 190357122644312707;                                     gr-mfaktc
   Apr 27, 2021   n=226379: 12140022886817374639;                                   gr-mfaktc
   Apr 27, 2021   n=226549: 4783052383654238671;                                    gr-mfaktc
   Apr 27, 2021   n=226609: 1782390671362612489;                                    gr-mfaktc
   Apr 27, 2021   n=226777: 378193188098520601;                                     gr-mfaktc
   Apr 27, 2021   n=226799: 84991215983418883;                                      gr-mfaktc
   Apr 27, 2021   n=226871: 75049647428960723;                                      gr-mfaktc
   Apr 27, 2021   n=226991: 379669865999843813;                                     gr-mfaktc


-  Found by Alfred Eichhorn 
   Apr 26, 2021   n =40351: 41361445978979438195400493 * 2686344939......c40325;    ecm: B1 = 5e4; sigma = 0:7786469976376711  


-  Found by Kurt Beschorner 
   Apr 26, 2021   n = 6073: 4192625020954268448085694062613;                        ecm: B1 = 1e6; sigma = 0:7615054103756595 
   Apr 26, 2021   n =70004: 553846660793381209;                                     ecm: B1 =25e4; sigma = 3113211770127235
   Apr 26, 2021   n=100012: 194864129920036674366721 * 6637236146......c45387;      ecm: B1 =25e4; sigma = 0:3712397564149538
   

-  YOYO@home/DRPanther 
   Apr 23, 2021   n =  485: 3905050584750719584997916596589271839372757118110949321; ecm: B1 = 26e7; sigma = 0:13910476698621796582 
 
         
-  Serge Batalov, Ryan Propper
   Apr 20, 2021   n=5794777 is probable prime - congratulations!
                  see: https://mersenneforum.org/showthread.php?t=26719
                  It is not known whether there are between exponents 4300447 and 5794777 other rprimes 


-  Found by Kurt Beschorner 
   Apr 16, 2021   n = 6047: 15726038561834089683346100723;                          ecm: B1 = 1e6; sigma = 0:3954038962062933 
   Apr 16, 2021   n = 6047: 55601862060496756187615026748638027;                    ecm: B1 = 1e6; sigma = 0:7983712199898554   
   Apr 16, 2021   n =12507: 60416314772560190835246784695757 * 3606042102......c7470; ecm: B1 = 1e6; sigma = 0:8282807134168857 
   Apr 16, 2021   n =19525: 1252208919866796487751 * 4056432245......c13961;        ecm: B1 = 5e4; sigma = 4539103865474074 
   Apr 16, 2021   n =97625: 188114671994937753430312751;                            ecm: B1 = 5e4; sigma = 0:6891315861581545  
   Apr 16, 2021   n=224033: 8413719147198343369;                                    gr-mfaktc
   Apr 16, 2021   n=224047: 1580226132429404483;                                    gr-mfaktc
   Apr 16, 2021   n=224101: 9199687762655955401;                                    gr-mfaktc
   Apr 16, 2021   n=224209: 7376612001366597239;                                    gr-mfaktc
   Apr 16, 2021   n=224233: 2148033672261722761;                                    gr-mfaktc
   Apr 16, 2021   n=224251: 5881042730274935681;                                    gr-mfaktc
   Apr 16, 2021   n=224267: 11508449042404230199;                                   gr-mfaktc
   Apr 16, 2021   n=224309: 806019344878636601;                                     gr-mfaktc
   Apr 16, 2021   n=224449: 348516204990509557;                                     gr-mfaktc
   Apr 16, 2021   n=224737: 178682103504143123;                                     gr-mfaktc
   Apr 16, 2021   n=224813: 2233964174952416717;                                    gr-mfaktc
   Apr 16, 2021   n=225161: 945106445733686281;                                     gr-mfaktc
   Apr 16, 2021   n=225227: 2104622090878328843;                                    gr-mfaktc
   Apr 16, 2021   n=225353: 7307600761666111601;                                    gr-mfaktc
   Apr 16, 2021   n=225373: 974339825755665601;                                     gr-mfaktc
   Apr 16, 2021   n=225509: 213743166541889773;                                     gr-mfaktc
   Apr 16, 2021   n=225523: 82959711460243883;                                      gr-mfaktc
   Apr 16, 2021   n=225581: 12687816497137019591;                                   gr-mfaktc
   Apr 16, 2021   n=225637: 115075555092146347;                                     gr-mfaktc
   Apr 16, 2021   n=225721: 143204535436858963;                                     gr-mfaktc
   Apr 16, 2021   n=225769: 235775674520884439;                                     gr-mfaktc
   Apr 16, 2021   n=225889: 335262685529613551;                                     gr-mfaktc

 
-  Found by Alfred Eichhorn 
   Apr 13, 2021   n =40289: 861341134157064323034529 * 1289977997......c40265;      ecm: B1 = 5e4; sigma = 7301371137223312  


-  Found by Kurt Beschorner 
   Apr 13, 2021   n =12507: 799466547815794573409504041 * 2178637747......c7502;    ecm: B1 = 1e6; sigma = 0:633755798596697 


-  Found by Kurt Beschorner 
   Apr 12, 2021   n = 1285: 16125873110496868884553362758627283290407985434481 * 2893837681......P922; ecm: B1 =43e6; sigma = 0:8766000215669500 
   Apr 12, 2021   n =18812: 17057447125458406802349961 * 5558959398......c9340;     ecm:     B1 =25e4; sigma = 0:978503384498149  


-  Found by Kurt Beschorner 
   Apr 07, 2021   n =12507: 1995095101053242532179551 * 1741747998......c7529;      ecm:     B1 = 1e6; sigma = 2060213348392852  
   Apr 07, 2021   n=150001: 393118534934461079 * 3623568004......c149976;           Prime95: B1 = 1e6; sigma = 6780472448998231 
   Apr 07, 2021   n=222107: 105497433013879409;                                     gr-mfaktc
   Apr 07, 2021   n=222323: 5173343292703218209;                                    gr-mfaktc
   Apr 07, 2021   n=222329: 228636709971904163;                                     gr-mfaktc
   Apr 07, 2021   n=222367: 6923539429746581911;                                    gr-mfaktc
   Apr 07, 2021   n=222493: 604572265759833641;                                     gr-mfaktc
   Apr 07, 2021   n=222601: 328259257873588999;                                     gr-mfaktc
   Apr 07, 2021   n=222799: 576922891852245791;                                     gr-mfaktc
   Apr 07, 2021   n=222823: 6811293491968284601;                                    gr-mfaktc
   Apr 07, 2021   n=222953: 503654209714706867;                                     gr-mfaktc
   Apr 07, 2021   n=222979: 1662163092024441493;                                    gr-mfaktc
   Apr 07, 2021   n=223049: 2862340440158492933;                                    gr-mfaktc
   Apr 07, 2021   n=223229: 14466968209954984123;                                   gr-mfaktc
   Apr 07, 2021   n=223367: 2608226886855414791;                                    gr-mfaktc
   Apr 07, 2021   n=223711: 1441207977103906159;                                    gr-mfaktc
   Apr 07, 2021   n=223757: 785618164779654641;                                     gr-mfaktc
   Apr 07, 2021   n=223781: 1175927490682718237;                                    gr-mfaktc
   Apr 07, 2021   n=223849: 272482638327241249;                                     gr-mfaktc
   Apr 07, 2021   n=223921: 1076535960856348711;                                    gr-mfaktc

-  Found by Kurt Beschorner 
   Apr 03, 2021   n =20001: 131917264692353678368249438519 * 3385514184......c12923; ecm: B1 =25e4; sigma = 0:284690055275574  
   

-  Found by Kurt Beschorner 
   Apr 01, 2021   n =12505: 895207758250401992676289744561 * 4090092249...c9560;    ecm: B1 = 1e6; sigma = 0:4631770911328880  
   Apr 01, 2021   n =19893: 162887837523447121255604881 * 6097680711......c12483;   ecm: B1 =25e4; sigma = 0:6038576895983461    
   Apr 01, 2021   n=100007: 59484631881686555439227 * 2521479011......c98852;       ecm: B1 = 5e4; sigma = 0:1784171070427286  
   Apr 01, 2021   n=220141: 465305480620402759;                                     gr-mfaktc
   Apr 01, 2021   n=220169: 925561132383830053;                                     gr-mfaktc
   Apr 01, 2021   n=220177: 1902193122450285307;                                    gr-mfaktc
   Apr 01, 2021   n=220243: 529581123289169293;                                     gr-mfaktc
   Apr 01, 2021   n=220589: 433845254277255893;                                     gr-mfaktc
   Apr 01, 2021   n=220757: 723017486623244089;                                     gr-mfaktc
   Apr 01, 2021   n=220757: 1238844447052010483;                                    gr-mfaktc
   Apr 01, 2021   n=220771: 250805438525074679;                                     gr-mfaktc
   Apr 01, 2021   n=220811: 1937671020624853601;                                    gr-mfaktc
   Apr 01, 2021   n=220903: 172785003750913003;                                     gr-mfaktc
   Apr 01, 2021   n=221047: 15169474912038495119;                                   gr-mfaktc
   Apr 01, 2021   n=221101: 407125505561229361;                                     gr-mfaktc
   Apr 01, 2021   n=221101: 3535939223405258471;                                    gr-mfaktc
   Apr 01, 2021   n=221281: 18388940488682412533;                                   gr-mfaktc
   Apr 01, 2021   n=221411: 73648296792386929;                                      gr-mfaktc
   Apr 01, 2021   n=221461: 5136406953298928441;                                    gr-mfaktc
   Apr 01, 2021   n=221497: 2740775806421328119;                                    gr-mfaktc
   Apr 01, 2021   n=221659: 132654430076122627;                                     gr-mfaktc
   Apr 01, 2021   n=221729: 119838327663140717;                                     gr-mfaktc
   Apr 01, 2021   n=221953: 874763746343211227;                                     gr-mfaktc
 

-  Found by Alfred Eichhorn 
   Mar 28, 2021   n =39989: 284793838539222508987728986561 * 3901457688......c39959; ecm: B1 = 5e4; sigma = 9042961611972796  
   Mar 28, 2021   n =40031: 15528140726021009080339759 * 3315212522......c39983;     ecm: B1 = 5e4; sigma = 2446785030476167


-  Found by Kurt Beschorner 
   Mar 26, 2021   n = 9285: 121167118788342318909335442231775438016191 * 2226782692......c4893; ecm: B1 = 3e6; sigma = 0:5397596929722729

-  Found by Kurt Beschorner 
   Mar 24, 2021   n = 2231: 127269517286008733272752480463187 * 7008647119......c1970;    ecm: B1 =11e6; sigma = 0:2945844318283144  


-  Found by Kurt Beschorner 
   Mar 23, 2021   n = 6029: 459714139684213098474058511602532231 * 3103904642......c5972; ecm: B1 = 1e6; sigma = 0:5767151061
   Mar 23, 2021   n =12255: 4897985075684847789326555366233201 * 1079448216......c5988;   ecm: B1 = 1e6; sigma = 0:8775605246208353 
   Mar 23, 2021   n =14291: 6039237541399466426719 * 1490254347......c13779;        ecm: B1 = 5e4; sigma = 3513949041793941  
   Mar 23, 2021   n=218357: 2690881573780188277;                                    gr-mfaktc
   Mar 23, 2021   n=218423: 142604952511460837;                                     gr-mfaktc
   Mar 23, 2021   n=218437: 3630746879089334951;                                    gr-mfaktc
   Mar 23, 2021   n=218447: 187571225207482481;                                     gr-mfaktc
   Mar 23, 2021   n=218453: 6466974568295418449;                                    gr-mfaktc
   Mar 23, 2021   n=218579: 2308667747769448547;                                    gr-mfaktc
   Mar 23, 2021   n=218737: 1259089952831991481;                                    gr-mfaktc
   Mar 23, 2021   n=218849: 748394254720802201;                                     gr-mfaktc
   Mar 23, 2021   n=219019: 581568790783580801;                                     gr-mfaktc    
   Mar 23, 2021   n=219059: 324375436583765803;                                     gr-mfaktc    
   Mar 23, 2021   n=219097: 216806336018574361;                                     gr-mfaktc    
   Mar 23, 2021   n=219119: 76221314990483053;                                      gr-mfaktc    
   Mar 23, 2021   n=219217: 359932060960957879;                                     gr-mfaktc    
   Mar 23, 2021   n=219437: 1088226020470197013;                                    gr-mfaktc    
   Mar 23, 2021   n=219523: 743459349217286249;                                     gr-mfaktc    
   Mar 23, 2021   n=219851: 6201071715484499239;                                    gr-mfaktc    
   Mar 23, 2021   n=219881: 2040172648096777787;                                    gr-mfaktc    
   Mar 23, 2021   n=219937: 3068762748834315893;                                    gr-mfaktc   
  

-  Found by Kurt Beschorner 
   Mar 19, 2021   n =17509: 32231159497750136397559 * 6435717701......c17443;       ecm: B1 = 5e4; sigma = 0:6831872783432326
   Mar 19, 2021   n =33344: 14555126684990568267049793 * 6870431440......c16615;    ecm: B1 =25e4; sigma = 860331931532703


-  Found by Kurt Beschorner 
   Mar 17, 2021   n=216061: 444294179035386679;                                     gr-mfaktc
   Mar 17, 2021   n=216173: 2620145763709472083;                                    gr-mfaktc
   Mar 17, 2021   n=216173: 4492558041766676551;                                    gr-mfaktc
   Mar 17, 2021   n=216217: 79272808155104089;                                      gr-mfaktc
   Mar 17, 2021   n=216259: 481206912003367973;                                     gr-mfaktc
   Mar 17, 2021   n=216263: 6713050763412206831;                                    gr-mfaktc
   Mar 17, 2021   n=216289: 242877599855516081;                                     gr-mfaktc
   Mar 17, 2021   n=216397: 918570902304602483;                                     gr-mfaktc
   Mar 17, 2021   n=216553: 1056821536320251609;                                    gr-mfaktc
   Mar 17, 2021   n=216607: 280177866272310089;                                     gr-mfaktc
   Mar 17, 2021   n=216791: 112237611780555067;                                     gr-mfaktc
   Mar 17, 2021   n=216803: 1221839307263193919;                                    gr-mfaktc
   Mar 17, 2021   n=216841: 265297751967254843;                                     gr-mfaktc
   Mar 17, 2021   n=216901: 83010407277496357;                                      gr-mfaktc
   Mar 17, 2021   n=216919: 612630691893583483;                                     gr-mfaktc
   Mar 17, 2021   n=216919: 5648418101747030627;                                    gr-mfaktc
   Mar 17, 2021   n=216967: 2212548886227952523;                                    gr-mfaktc
   Mar 17, 2021   n=216991: 580775976090633203;                                     gr-mfaktc
   Mar 17, 2021   n=217241: 5525663368197964493;                                    gr-mfaktc
   Mar 17, 2021   n=217333: 1303822388089141169;                                    gr-mfaktc
   Mar 17, 2021   n=217337: 131154899865549871;                                     gr-mfaktc
   Mar 17, 2021   n=217351: 3307729271035393999;                                    gr-mfaktc
   Mar 17, 2021   n=217361: 470796671813983213;                                     gr-mfaktc
   Mar 17, 2021   n=217409: 1273104982048073929;                                    gr-mfaktc
   Mar 17, 2021   n=217429: 1236262173601177157;                                    gr-mfaktc
   Mar 17, 2021   n=217457: 1552635369950503037;                                    gr-mfaktc
   Mar 17, 2021   n=217577: 347981830922553559;                                     gr-mfaktc
   Mar 17, 2021   n=217691: 8968429992518669293;                                    gr-mfaktc


-  Found by Alfred Eichhorn 
   Mar 15, 2021   n =39551: 127249419826060634887483 * 8731757776......c39527;      ecm: B1 = 5e4; sigma = 427721010480129  


-  Found by Kurt Beschorner 
   Mar 10, 2021   n=41460M: 42584355582188611283977899841 * 2317811797......c5459;  ecm: B1 = 1e6; sigma = 0:598575133130437


ECM efforts
with Rn:      301 < n < 2000 (Jun 24, 2021) with Rn:     1999 < n < 3000 (May 15, 2021)
with Rn:     2999 < n < 4000 (Jun 17, 2021) with Rn:     3999 < n < 5000 (Jun 12, 2019)
with Rn:     4999 < n < 6000 (Jun 09, 2021) with Rn:     5999 < n < 7000 (May 15, 2021)
with Rn:     6999 < n < 8000 (May 30, 2021) with Rn:     7999 < n < 9000 (May 15, 2021)
with Rn:     8999 < n <10000 (Jun 11, 2021) with Rn:     9999 < n <11000 (Jun 11, 2021)
with Rn:   10999 < n <12000 (May 19, 2021) with Rn:   11999 < n <12500L/M (Mar 19, 2021)



currently ECM-efforts by   yoyo@home:    ecm-curves
B1 = 43e6/8600 curves/
numbers < 1001 digits		 1255
working		 1463
working		 1475
working		 7980L
working		 8460M
working
B1 = 11e7/18400 curves/
numbers < 701 digits		 599
working		 611
working		 617
working		 619
working		 625
working
B1 = 26e7/46000 curves/
numbers < 450 digits		 469
working		 475
working		 521
working		 1136
working		 1160
working
B1 = 85e7/75000 curves/
numbers < 250 digits		 609
working		 735
working		 1188
working		 1200
working		 1320
working



Factorizations
Repunits: R1        - R2500 (Jun 17, 2021) Repunits:  R2501 - R5000 (Jun 17, 2021)
Repunits: R5001   - R7500 (Jun 09, 2021) Repunits: R7501 - R10000 (May 28, 2021)
Repunits: R10001 - R12500 (Jun 11, 2021) Repunits: R12501 - R14980L/M (Sep 19, 2020)




Rprime project; base 10

last update: Jun 11, 2021

old project page   -   out of date

Status:       3 - 1M     1M - 2M     2M - 3M     3M - 4M     4M - 5M     5M - 6M     6M - 7M     7M - 8M     8M - 9M     9M - 10M    
Details:     3 - 1M     1M - 2M     2M - 3M     3M - 4M     4M - 5M     5M - 6M     6M - 7M     7M - 8M     8M - 9M     9M - 10M    

active members:
    - Danilo Nitsche, Paul Bourdelais , Benjamin Chaffin, Edo Rajh, Kurt Beschorner

Activities of Ryan Propper and Serge Batalov
    - testing of all rprimes from exponent 10M up to 12M using TF (64 bits; evantually 67 - 68 bits)
    - check of the remaining rprimes (without found factors) for primilarity (prp)


all contributors:   Danilo Nitsche, Paul Bourdelais, Charles, Bo Chen, Alfred Eichhorn, FactorDB.com, Giovanni Di Maria, Fan Ming,
                                Phil, Richard Kapek, kkmrkkblmbrbk (aka GP2), Pavlos, Edo Rajh, Alfred Reich, Nejc Skoberne, Sebastian, MattStath,
                                Maksym Voznyy, wims, Kurt Beschorner
Overview
 
    Exponent     Primes/PRP                     found by ...
    - 10ˆ20     R19 = prime
    - 10ˆ100     R23 = prime
    - 10ˆ1000     R317 = prime
    - 10ˆ10000     R1031 = prime                 WD (Dec 1985)
    - 10ˆ50000     R49081 = PRP                 Harvey Dubner (Sep 1999)
    - 10ˆ100000     R86453 = PRP                 Lew Baxter (Oct 2000)
    - 10ˆ250000     R109297 = PRP               Paul Bourdelais - Harvey Dubner (Apr 2007)
    - 10ˆ500000     R270343 = PRP               Maksym Voznyy - Anton Budnyy (Jul 2007)
    - 10ˆ7500000     R5794777 = PRP             S. Batalov - Ryan Propper (Apr 2021)
    - 10ˆ10000000     R8177207 = PRP             S. Batalov - Ryan Propper (May 2021)




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