This file lists factors of n!+-1 with 20 or more digits found with ecm (or MPQS or GNFS or P-1) ** Completes factorization Date n Digits Sigma B1 Factor dd/mm/yyyy 21/11/1999 79!-1 44 1052566267 11*10^6 21289796287569735866708594882309656982337071 ** (Nicolas Daminelli) 19/12/1999 81!-1 42 1773323714 11*10^6 190178327955607364367559372040479613565547 (Step 1) ** (David Miller) 11/08/1999 83!-1 36 1212083847 3*10^6 569018285138785743945090436740972589 ** (David Miller) 25/01/2000 85!-1 47 730031143 11*10^6 14380211646881467415803462581621417951534002839 ** (David Miller) 07/08/1999 86!-1 37 1203927498 10^6 4498990032296049864443764715000903587 ** (David Miller) 29/06/1999 86!-1 29 1979076300 500000 18056085329836675547166722819 (Rocke Verser) 07/08/1999 87!-1 37 1081628829 3*10^6 1733598256793782223024375220367920953 ** (David Miller) 10/10/2001 88!+1 51 - - 103022186552539453299876565634446293492396727184849 ** (Jens Franke/Thorsten Kleinjung, GNFS) 06/04/2001 90!+1 53 - - 42025070023047325132446149666132026718715669472074383 ** (Sean Irvine/Webmind, MPQS) 31/12/1999 90!-1 46 1361598929624984516434347590715335332503841981 ** (Sean Irvine) 16/08/1999 91!-1 39 1211135375 3*10^6 419790526928647246447760544140764445623 ** (David Miller) 22/09/2001 92!+1 60 - - 229758023927584562777368125832724248866067995638905559798117 ** (Jens Franke/Thorsten Kleinjung, GNFS) 30/12/1999 95!+1 33 2137231219 11*10^6 172016541999068516095714768113163 (Step 1) ** (Paul Leyland) 22/12/2000 95!-1 59 - - 12567987371175933926362928813184833422003421176616583508547 ** (Sean Irvine/Webmind, MPQS) 11/08/1999 96!-1 35 1952915980 10^6 41321451466032581613501320111901299 (David Miller) 16/12/1999 96!-1 43 758604455 22*10^6 6362530125276957881204501556485777224877737 ** (David Miller) 07/09/2001 97!+1 53 - - 14037273880994239756842328675178099106162296456088197 ** (Jens Franke/Thorsten Kleinjung, GNFS) 16/11/1999 97!-1 36 1887029236 3*10^6 993292639325978587222572893472381397 (Step 1) (David Miller) 16/11/1999 97!-1 36 1974753216 3*10^6 135094134046186960540571260475926499 ** (David Miller) 31/12/1999 99!-1 31 8219124367748699129845858634653 (Sean Irvine) 31/12/1999 99!-1 43 4119842702492043412032706962320115960832703 ** (Sean Irvine) 14/10/2001 101!+1 45 268848726 11*10^6 542832179611019786166595777851145909637004301 ** (Sean Irvine) 21/11/1999 101!-1 41 279236716 3*10^6 50967329609794872813828672909815236088381 ** (David Miller) 05/01/2000 102!+1 34 1133489271 11*10^6 1853160025084147305290124353091229 ** (Paul Leyland) 02/11/2001 102!-1 52 1689607121 11*10^6 7517596214490051335825344881028792801065608068512131 ** (Sean Irvine) 11/07/2004 103!+1 47 - 50*10^6 31661111864542058504602102525015097735381342593 ** (Sean Irvine) 20/11/1999 103!-1 30 901739563 10^6 623013311490263028295153743673 ** (David Miller) 20/10/1998 104!+1 29 501844434 250000 12311660872660805991388223033 ** (Andrew Walker) 20/10/1998 105!+1 22 303855457 250000 1398129310580516973467 (Andrew Walker) 05/01/2000 105!+1 31 2116487854 11*10^6 9222775638826859871832806582289 ** (Paul Leyland) 13/08/2000 105!-1 36 162017070 3*10^6 314013920358759969538584440207708159 ** (David Miller) 19/10/1998 106!+1 23 1336341290 250000 78931648251814403737907 (Andrew Walker) 07/02/2000 106!+1 31 1186351843 10^6 2135211841921729708835308779667 ** (David Miller) 30/11/1999 106!-1 34 1972662405 3*10^6 2954276561663726731348533829152043 ** (David Miller) 21/11/1999 107!-1 35 605345032 10^6 67451412775987097229456759114365147 ** (David Miller) 22/10/2002 108!+1 56 - - 10647562554019124667478091293300587259958291268234001823 ** (Sean Irvine, GNFS) 14/12/1998 110!+1 28 431953755 250000 1131669878120932220109197009 (Andrew Walker) 21/10/1998 110!+1 29 168655059 250000 12365412673468289639313600923 (Andrew Walker) 09/04/2000 110!+1 42 1850863851 44*10^6 984858384210167262655808345015050645243243 ** (Jo Yeong Uk) 03/05/2004 111!+1 60 - - 366490840976610304104746977769369661622517455940520616223381 ** (Sean Irvine/Jes Hansen, GNFS) 17/01/2002 112!+1 37 1009309925 3*10^6 7001254410846736563763702929325048987 (Sean Irvine) 25/03/2002 112!+1 40 - - 5651878146949530735523997358628882351147 (Sean Irvine, MPQS) 25/03/2002 112!+1 42 734564220 3*10^6 161785206248676056929457299898406991572743 ** (Sean Irvine) 10/11/1998 112!-1 24 41093618 250000 790772324341378194783917 (Andrew Walker) 22/11/1999 112!-1 27 257796323 10^6 549585323219368602369820121 (Step 1) ** (David Miller) 03/03/1999 113!+1 31 638036272 250000 4554665692949825778957079924193 (Andrew Walker) 30/11/1999 113!+1 36 1614673622 10^6 440329859646244565885691592803661547 ** (David Miller) 03/04/1999 114!-1 29 93831886 250000 46592495579025763749447076981 (Andrew Walker) 02/07/2002 114!-1 45 1684593346 11*10^6 156548140613622977981626666310401198875601601 (Sean Irvine) 22/07/2002 114!-1 50 - - 10651838022424183034932542865787273875648790960999 ** (Sean Irvine, GNFS) 04/08/1999 116!-1 30 1611158340 3*10^6 629568685143887122306747853927 (David Miller) 09/05/2000 116!-1 41 1552133563 44*10^6 60142427312522623487250730465114097841091 ** (Jo Yeong Uk) 30/11/1999 117!+1 31 737264855 10^6 7608449170252404294833488675127 ** (David Miller) 26/11/1999 117!-1 32 1248856243 10^6 38197980429736991738205655885367 ** (David Miller) 02/11/1998 118!+1 29 929679854 250000 11294645177647665140920980967 (Andrew Walker) 16/05/2005 118!+1 74 - - 26722464573695888110450933578985133184055013159596413387712641189727401257 ** (Sean Irvine, GNFS) 10/11/1998 118!-1 23 421623814 250000 93860151591549156672389 ** (Andrew Walker) 06/08/1999 119!-1 30 642553504 10^6 593016762123272567713327930159 (Step 1) ** (David Miller) 08/02/1999 119!-1 33 1057985456 250000 135075706114535316950231097516031 (Andrew Walker) 15/12/1999 120!+1 32 2082884617 10^6 25829710930321439085184019803339 ** (David Miller) 17/09/2004 120!-1 42 2776902242 11*10^6 174568885579274269812937093465102210976297 (Sean Irvine) 04/10/2004 120!-1 50 - - 51442741042891005984634751109466441839162295178987 ** (Sean Irvine, GNFS) 24/05/1999 121!+1 28 1962418741 250000 1744502186874309020303267203 (Andrew Walker) 26/07/2004 121!+1 50 - 11888627126804025025004652051467258556118244612927 ** (Sean Irvine, GNFS) 11/02/2000 122!-1 35 2074827015 10^6 86931787124894025899613982958574289 (David Miller) 22/09/2004 123!+1 34 10850120 3*10^6 7132885373707342182361401607765717 ** (Michael Porter) 15/07/1999 123!-1 24 1328726464 250000 150152322348158556906709 (Andrew Walker) 11/02/2000 123!-1 30 1834976960 10^6 546438722226889371614324889973 (David Miller) 07/01/2002 123!-1 51 - - 649887067848818772887462916835461246603936294119701 ** (Jens Franke/Thorsten Kleinjung, GNFS) 15/06/1999 124!+1 29 1559773573 250000 68428636341940746996456551633 (Andrew Walker) 14/04/2005 124!+1 44 1612057562 11e6 29455596869306730157787712690502974736104077 ** (Sean Irvine) 15/07/1999 124!-1 26 1460863538 250000 48377627659132602412103759 ** (Andrew Walker) 22/07/1999 125!-1 29 202221456 250000 27540617119625946118459403939 (Andrew Walker) 11/02/2000 125!-1 28 1667490808 10^6 2007083736859170236448088811 ** (David Miller) 03/05/1999 126!+1 27 469263849 250000 421253711938605020303598673 (Andrew Walker) 14/04/2005 126!+1 42 1285307061 11e6 656744471822428154156989986023329307044463 ** (Sean Irvine) 02/08/1999 127!+1 32 1536590034 250000 14390547767773598982217841964761 (Andrew Walker) 08/12/2004 127!+1 67 - - 2002896480650155684677061635571976457061002571505493757461762604981 ** (Sean Irvine, GNFS) 15/07/1999 127!-1 24 1443844480 250000 134013277989741695639179 (Andrew Walker) 19/07/1999 127!-1 28 222255549 250000 4975560684609281103633431477 (David Miller) 26/07/2004 127!-1 34 997390973 3*10^6 5397554794221433215092107232321743 (Sean Irvine) 26/07/2004 127!-1 38 - 67713346982387980795461394231203640841 ** (Sean Irvine, GNFS) 11/02/2000 128!-1 32 971186667 10^6 96219075145726707178129001299019 ** (David Miller) 04/01/2003 129!-1 45 83721112 11*10^6 188688334348298185613260389556326587556468251 ** (Jens Franke/Thorsten Kleinjung) 17/07/1999 130!-1 31 399043732 250000 1443754424824480405672165207097 (David Miller) 22/07/1999 130!-1 41 1909203092 10^6 10498667669119496541246764547364394150767 ** (David Miller) 27/07/1999 131!-1 30 1357091336 10^6 767761264702576031559515348521 (David Miller) 18/07/2005 132!+1 45 419279921 11e6 126701555548860527771595243471901442557649471 ** (Sean Irvine) 01/10/1998 132!-1 25 29314021 250000 4139884411675565479171577 (Andrew Walker) 10/11/1999 133!+1 31 5589740040117928890400907674537 ** (Paul Leyland) 31/03/2005 133!-1 33 1226803338 3*10^6 513047728616968716016761833299351 ** (Sean Irvine) 25/11/1999 134!+1 24 809496690 250000 225377192789914071606361 ** (Nicolas Daminelli) 11/07/2005 135!+1 45 3112031860 11e6 251117463176562003602241435134677475066949277 (Sean Irvine) 11/07/2005 135!+1 44 2035597859 11e6 68685878668312253297137563108870264189563273 ** (Sean Irvine) 25/03/2000 136!+1 38 1607581677 1500000 41927653694528092712617642634906412451 ** (David Miller) 14/11/1999 137!+1 33 1544069363 10^6 213749061182918881280504944217119 (David Miller) 08/08/2005 137!+1 41 1016980768 11e6 28662735231819784615664987397230579783137 (Sean Irvine) 21/03/2006 137!+1 78 - - 224369312643440739439186586733601848833986009164493892003691007743395367816053 ** (Sean Irvine, GNFS) 03/10/1999 138!+1 30 2079914222 10^6 290391049934253427466419213861 (Step 1) (David Miller) 09/02/2005 138!+1 44 1758030314 11*10^6 25490061580980721485451743973541556938202007 ** (Sean Irvine) 18/07/2005 138!-1 43 963662072 11e6 2971353384953400387412890813435551763386023 ** (Sean Irvine) 23/09/2000 140!-1 35 138884007 10^6 80480454695883671927072158689953459 (David Miller) 10/10/2005 141!+1 38 1212798934 11e6 86728614111013371624876581177682474113 (Sean Irvine) 15/11/2005 142!+1 41 4284561481 11e6 48701230190491554972243207604178647748687 (Sean Irvine) 19/11/1999 143!+1 28 1744460245 250000 7627511386363984619071229527 ** (Nicolas Daminelli) 15/09/1999 144!+1 33 2041403011 250000 138588539704770388589769630082891 (Andrew Walker) 16/01/2003 144!+1 39 1782411948 3*10^6 724471637873847058596951440954292527159 (Thorsten Kleinjung/Jens Franke) 22/12/1999 144!-1 31 2084203420 250000 3464771911687901539424860777427 (Andrew Walker) 23/09/2000 144!-1 34 1229196432 10^6 3531765816278468901225791666230489 (David Miller) 06/12/2005 145!+1 40 3098915178 11e6 2322409464777645776931237575870210074667 ** (Sean Irvine) 14/01/2000 146!-1 28 1592882060 250000 2380509486478171757596001707 (Andrew Walker) 07/12/2005 147!+1 39 2091031178 11e6 892084515034278204467893234487057063377 ** (Sean Irvine) 12/12/2005 147!-1 43 42720681 11e6 62084668239412172462588799443979596444213477 ** (Sean Irvine) 27/08/1998 148!-1 25 31864065517985 250000 3852306482810075242089227 (Andrew Walker) 07/12/2005 148!-1 40 2181340407 11e6 9088864093850479091560065309588212249987 (Sean Irvine) 25/03/2000 149!+1 32 1627520463 1*10^6 13123375977389407161588919694549 (David Miller) 25/03/2000 150!+1 31 1781157716 1*10^6 3574685026014398552934345648209 (David Miller) 01/02/2000 151!+1 26 355748603 250000 10921693285778448839607223 (Andrew Walker) 28/03/2000 151!+1 36 706300650 10^6 119130723970730205599999675130136357 ** (David Miller) 27/02/2000 155!+1 32 2098313630 250000 36081361813429082138183080340753 (David Miller) 23/03/2006 155!+1 37 3352119419 11e6 1817639222993327238463759390628800633 ** (Sean Irvine) 10/01/2000 156!-1 25 165277711 100000 5418404432286059811819647 (Alexander Kruppa) 05/02/1999 157!+1 28 3742085 250000 4167455364191470864079444113 (Andrew Walker) 23/02/2000 157!-1 29 737382429 250000 37272934189201737869016720929 ** (David Miller) 28/02/2000 159!+1 27 350577417 250000 257250158683781558436609107 (Andrew Walker) 05/11/1999 161!+1 29 15757561600158505123106686297 (Paul Leyland) 01/12/1999 161!+1 25 1612609430 250000 1228948704637542812523661 ** (Nicolas Daminelli) 30/07/2004 163!-1 38 3965170960 10^6 28562816824104372591745915524850476013 (Andrew Walker) 01/11/1999 165!+1 25 1075309368973977828941431 (Paul Leyland) 23/08/2004 165!-1 38 1153703038 10^6 45340834916399427401941254087564552901 ** (Michael Porter) 14/03/2003 167!+1 32 918618091 10^6 10696722701430914857180234507939 ** (Andrew Walker) 21/04/1999 167!-1 34 94342500 250000 1186226926103899822371879437051237 (Andrew Walker) 25/10/1999 169!+1 20 21940922682828238189 (Paul Leyland) 28/06/2004 169!+1 33 366551753 10^6 800671054190905012623951381513587 (Sean Irvine) 24/01/2000 172!+1 25 336723444 250000 4344848349583764329518859 (Step 1) (Nicolas Daminelli) 24/01/2000 176!+1 26 23577069 250000 38897317050631716686218801 (Nicolas Daminelli) 27/02/2000 176!+1 29 804960149 250000 68466861653843453337981917419 (David Miller) 05/11/1999 177!+1 22 1891548004136643904823 (Paul Leyland) 28/06/2004 178!+1 36 332054678 10^6 135308276130383772314018942122772279 ** (Sean Irvine) 27/02/2000 179!+1 30 1179325830 250000 112556388889794980413000342489 (David Miller) 28/06/2004 179!+1 39 2592524695 10^6 274686811290564587615329470624434615983 (Sean Irvine) 03/01/2000 179!-1 22 859158376 250000 6944561254864622437303 (David Miller) 03/01/2000 179!-1 27 1126173363 250000 141044441574147019511887247 (David Miller) 06/01/2000 179!-1 34 791774572 10^6 2723700285362100042230547527778317 (David Miller) 03/01/2000 180!-1 27 374191612 250000 382175392991761188822260633 (David Miller) 26/09/2005 181!+1 39 2623902036 3e6 295851217602198493721617790937346831051 (Lyle Conn) 27/02/2000 182!+1 34 548688333 250000 1153852426073539399073807161189601 (David Miller) 26/07/2004 182!-1 36 3650251469 10^6 265533834722777978804737399584403667 (Sean Irvine) 26/07/2004 184!-1 37 4134804032 10^6 1593995949106763801004032952259869019 ** (Sean Irvine) 27/02/2000 186!-1 32 1821066491 250000 27346357482680319232157163552689 ** (David Miller) 28/06/2004 189!+1 34 2554330092 10^6 4962905867602370674248656033468461 (Sean Irvine) 26/07/2004 189!-1 33 735331667 10^6 859898093417486999252052249867649 (Sean Irvine) 28/06/2004 190!+1 35 3193771764 10^6 40921789605490466372108793694261247 (Sean Irvine) 22/01/2000 190!-1 24 696911854 250000 269356684872488049450827 (David Miller) 22/01/2000 190!-1 27 1663931907 250000 789210120777811500568846679 (David Miller) 22/06/2000 192!-1 41 1892916781 11*10^6 17952190519544154606653037740279886064447 (Step 1) (Sean Irvine) 31/05/2004 193!+1 38 1527367413 10^6 16183254660187426238247314936912852351 (Sean Irvine) 27/02/2000 193!-1 27 1343926952 250000 405787355833376578700460301 (Step 1) (David Miller) 27/02/2000 194!+1 28 31088864 250000 1201834235405915894123195599 ** (David Miller 05/03/2000 195!+1 28 50133001 250000 3338337807236121363383999021 (David Miller) 05/03/2000 200!-1 28 1002364947 250000 7101079502353532063312054917 ** (David Miller) 29/11/2004 201!+1 31 205069153 10^6 5727297780783502552028823218833 (Michael Porter) 01/07/1999 202!+1 28 1975135224685858368186607277 (Paul Leyland) 05/03/2000 204!+1 30 755184390 250000 149946479044181757451779865339 (David Miller) 16/01/2000 204!-1 34 1306969421 250000 5857782783722908444648891741552991 (David Miller) 26/03/1999 205!+1 28 2047060370044133876870089307 (Paul Leyland) 22/01/2000 206!-1 32 1634446279 250000 14926206558364500381330548427173 (David Miller) 20/06/2005 206!-1 30 835222968 1e6 462513654658939936008237221713 (Michael Porter) 05/03/2000 207!+1 33 1318123182 250000 132787400175997821332658450198547 (David Miller) 19/04/1999 208!+1 23 39343769423125418657311 (Paul Leyland) 01/04/1999 209!+1 21 180274615053826152589 (Paul Leyland) 17/01/2005 209!+1 33 3795294913 10^6 448383654535793571594261932688637 (Michael Porter) 16/01/2000 209!-1 30 2064602170 250000 833497448239434461315360317121 (David Miller) 16/01/2000 211!-1 28 13172921 250000 1698561722424352389575067749 (David Miller) 31/07/2001 212!+1 35 1669144758 10^6 45713088500098075280333234449873453 (Nicolas Daminelli) 31/07/2001 212!+1 35 10^6 56639907596588806107088534913492329 (Nicolas Daminelli) 06/06/1998 214!-1 25 1986044266 250000 4699350260900869065321689 (Andrew Walker) 16/01/2000 214!-1 27 763763983 250000 240559684028943110677535629 (David Miller) 20/06/2005 214!-1 33 483442930 1e6 726862345495057859165999906251297 (Michael Porter) 01/12/1999 215!-1 20 42790004 11000 11185255518896394101 ** (Andrew Walker) 20/06/2005 216!-1 39 2514428992 1e6 319533684487138097256724261216747494841 (Michael Porter) 10/02/2005 217!+1 35 1909554621 10^6 11703263177199210426676256054545351 (Michael Porter) 16/01/2000 219!-1 29 209342271 250000 81574205967622462911640355351 ** (David Miller) 02/03/2005 220!+1 31 1429661045 10^6 1851504196448162610437764643813 ** (Michael Porter) 31/03/1999 222!+1 22 1051380949933556068451 ** (Paul Leyland) 07/08/2001 222!-1 36 625688758 10^6 365912109763230734114664196329916163 (Nicolas Daminelli) 05/08/2005 226!-1 41 2814779944 1e6 43357981767999363056631685720465594667803 (Michael Porter) 05/08/2005 228!-1 30 1937257242 1e6 170574915687827078420466072113 (Michael Porter) 29/03/1999 232!+1 22 3668376682437673551073 (Paul Leyland) 15/01/2000 234!-1 28 206708870 250000 2287818360282984294502441853 ** (David Miller) 15/01/2000 237!-1 26 1039810795 250000 15130181417131447991224699 (David Miller) 26/03/1999 238!+1 23 13077072927379857340523 (Paul Leyland) 31/03/1999 239!+1 22 1029601993375725300599 (Paul Leyland) 01/07/1999 241!+1 25 5918693953990816495232959 (Paul Leyland) 24/06/2004 241!+1 31 905388217 250000 2914982678571778853567990110381 (Michael Porter) 15/01/2000 242!-1 24 1772815277 250000 281620179905648264831321 (David Miller) 11/03/2000 245!-1 34 926806464 250000 3592592306440326131928694995391829 (David Miller) 27/08/1999 246!+1 24 50000 466144592726124094738093 (Paul Leyland) 01/04/1999 250!+1 24 162344150185473447056639 (Paul Leyland) 11/03/2000 254!-1 23 770003497 250000 35341167267147184648349 (David 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