Numbers of the form $(z^{41}-1)/(z-1)$

Results

$z$ digits date factor(s) method
$4167$ 116 Jul 6, 2013 $404600611955937983261059334771329743291773460576623416369$
$427151849960793804772837630524680442802690464725618781390333$
snfs
$4182$ 127 Jul 5, 2013 $119081283460896536488653961327137837836781866789533753321931$ snfs
$4188$ 119 Jul 6, 2013 $1410979271046188224492782688984827349187419874752561272547$ snfs
$4197$ 121 Jul 6, 2013 $37347829934101939796286244166402112323304774272077$ snfs
$4246$ 142 Nov 13, 2013 $264643061221780207024347673379211774730169531533$ snfs
$4509$ 142 Nov 10, 2014 $5554788500966431388589426353369460258879957065139541$ snfs
$5621$ 150 Jun 29, 2013 $15489443560673737577113819785764559524115608523954807456151749377$ snfs
$6503$ 117 Jan 30, 2016 $382041083839302103944465211921847401493254339747333$ snfs
$6517$ 119 Apr 9, 2016 $1721143894499750902043821604452587332962773987635216551$ gnfs
$6518$ 123 Apr 5, 2016 $9897326497526260404777009143721370040661104440752767917$ gnfs
$6522$ 134 Mar 19, 2016 $50298102921508619817576732031601114287$
$44981900060858972205579159169295969219654239$
ecm
gnfs
$6523$ 135 Mar 19, 2016 $2320213368303440224683592427123805058079$ ecm
$6524$ 122 Mar 19, 2016 $28196465803083380287313291301568086251$ ecm
$6530$ 120 Apr 27, 2016 $304615627293767603813887184471807054003$ snfs
$6531$ 126 Apr 28, 2016 $1043874337469545393035464612644811635885858567601$ snfs
$6535$ 125 Apr 28, 2016 $11965689989690413914517743505266503955394490937767$ snfs
$6543$ 118 Apr 29, 2016 $140334181504250395422958468127190123133954575913$ snfs
$6554$ 150 Apr 29, 2016 $3404528636296463387118701988292700237168707538569831711$ snfs
$6566$ 126 Apr 30, 2016 $104379289097416688944078521297011016764806913217972870420343$ snfs
$6571$ 145 Apr 24, 2012 $304494037912467064027747619058145093270322935609211$ list of P. Zimmermann of P+1 records P+1
$6572$ 118 Apr 30, 2016 $4545831904644852216069555493654953853961$ snfs
$6575$ 137 Apr 30, 2016 $14112974471919630322620987048319858259$ snfs
$6576$ 146 May 2, 2016 $254295888218990121527204448960992690374418064724442833$ snfs
$6583$ 129 May 2, 2016 $21215095650397711789641409440769217088929443080630347044006927$ snfs
$6585$ 120 May 2, 2016 $246463248709632486053526384426941113903435765233567729071$ snfs
$6586$ 148 Mar 20, 2016 $5117246330961655833992828469769309155672767$ ecm
$6587$ 144 May 2, 2016 $4102132178885748007554979881697474886558816951$ snfs
$6592$ 147 Jun 29, 2013 $21609861898097435900208507255903890041558626313877157257682537702311141557$
$38020392492381319110427480607670610018646983094966891224925956975216896101$
snfs
$6594$ 125 May 2, 2016 $561206360650556719592218652270922043$ snfs
$6597$ 131 May 2, 2016 $20187809095950230391910644912723032547260383912958214481710701471$ snfs
$6604$ 131 May 2, 2016 $77750419508088602604912631808264527874353$ snfs
$6606$ 147 May 3, 2016 $119834924821165313653761309946656501132474571753$ snfs
$6612$ 134 May 4, 2016 $2643012461870906661193941417552292130632775061865783355701$ snfs
$6613$ 120 Sep 30, 2017 $8580473198870476214267752727907614816114778727127863$ snfs
$6622$ 142 Mar 11, 2018 $3917261020358034390559627013682576168291364154281417174482596689$ snfs
$6626$ 148 Mar 11, 2018 $81911063663378229789488732237049921825060475343801713$ snfs
$6628$ 153 Feb 23, 2017 $13496129527308607922644762800673867774242281930310854780580324186479901438419$
$53107551797939862717119406609260620272620255634423712954678975047404653067479$
snfs
$6632$ 144 Mar 12, 2018 $51931948648581202387078457813640534627420810638566062867232307659$ snfs
$6635$ 133 Mar 29, 2018 $23274530372384843142947787006645534389985135092500313$ snfs
$6636$ 123 Mar 25, 2018 $23297887923990292600610571954914090099156581$ snfs
$6640$ 135 Mar 25, 2018 $302655122180620500304761731116577650348631$ snfs
$6646$ 153 Feb 23, 2017 $1380605376667233758098358807908277300897$ snfs
$6648$ 149 Mar 30, 2018 $32346891543662041136981289749080473853155562213$ snfs
$6649$ 148 Mar 27, 2018 $2342326845148194947594288576243208921603460087254316592598655786828511$ snfs
$6651$ 118 Mar 27, 2018 $185108213856419068402222645345469385682526184290586726151$ snfs
$6652$ 130 Mar 30, 2018 $122414068103173062831063182378789708525088607054998176738177$ snfs
$6662$ 149 Mar 28, 2018 $25735105192804902500424548383260230810044219$ snfs
$6663$ 146 Mar 30, 2018 $65920028535745893637861394526418285333438579$
$331202247416523794423543439214261369452784861$
snfs
$6672$ 142 Mar 30, 2018 $10510388056714601753722738157034883672999$
$464643830046852891521135435831900150776349$
snfs
$6677$ 144 Mar 30, 2018 $1825821863954671956278725574776029477285591167$ snfs
$6678$ 129 Mar 28, 2018 $226904251531809671189558125314732967$ snfs
$6680$ 136 Mar 28, 2018 $25553527903492231634646718319556290784175057966139560747$ snfs
$6686$ 136 Mar 30, 2018 $1732878518149436896080752463850179078752189$ snfs
$6692$ 132 Mar 30, 2018 $189239037238342000301458939253969219$
$962958832698074493543173729536829177$
snfs
$6694$ 125 Apr 9, 2018 $26305425126255201751160614895115249434460031681$ snfs
$6696$ 120 Apr 9, 2018 $4185305332659295666369208327889144602373449881432625697121$ snfs
$6699$ 130 Apr 10, 2018 $30865530092861796199601408845975766699672351$ snfs
$6797$ 154 Feb 24, 2017 $15555059942400661657007428195826323$ snfs
$6826$ 154 Feb 24, 2017 $1035600381565926176196415868800357280442428341$ snfs
$6860$ 154 Feb 25, 2017 $36573715128928437818906490848889470736262640401697422924327906392602543$ snfs
$6951$ 154 Mar 3, 2017 $7778579260252650307344090465442063141185410321666625110235699803072400677$ snfs
$7006$ 154 Mar 3, 2017 $6783679526715485066057897556582065801741561313477044611772049829259016914053$
$971408702294281705462939570295448798654631666770177736649918148324148940128847$
snfs
$7060$ 154 Mar 4, 2017 $8619388892987143177296574855849692313424292880717972713421106154109217$ snfs
$7113$ 155 Mar 4, 2017 $6528970894999065899438651308529216225313614021991776551199$ snfs
$7160$ 155 Mar 4, 2017 $1118480573513584017988594672537352883007038996344401399553053$ snfs
$7266$ 155 Mar 4, 2017 $301078768982521918448809925841779561840163004650266931887$ snfs
$7273$ 155 Mar 4, 2017 $206167388182299603448593529454085811544057$ snfs
$7278$ 155 Mar 4, 2017 $1340017297393988950472396539042614611384149747980928498417$ snfs
$7467$ 155 Feb 25, 2017 $1377540386623833291871555744648368719927$ ecm
$8523$ 158 Mar 12, 2017 $101909333149468501163984511326560531$ ecm
$8757$ 158 Mar 12, 2017 $412714277368112908533949685192576868233$ ecm
$9988$ 123 Mar 30, 2018 $58484468641492848479055606650336022119$ snfs
$9996$ 118 Sep 8, 2017 $9986110226488709117929480583560145147995267$ snfs
$10711$ 140 Jun 18, 2013 $19622018229145480449249872248006125360923$ snfs
$10729$ 155 Jun 19, 2013 $398912009855138293493256144779868529839897554215057811391779$ snfs
$10753$ 136 Jun 30, 2013 $347297008313867799329743744890201487116368444525659634273$ snfs
$10789$ 152 Jun 30, 2013 $2474916565661498507658672793968429403259$
$67734695077497306112775231660746648376877365449$
snfs
$10939$ 154 Jun 30, 2013 $51935103127066254714536688780004847247424007284119208695797$ snfs
$10957$ 138 Jun 30, 2013 $227059781653600147489605200433552455013113109997$ snfs
$11069$ 123 Jul 1, 2013 $3657510434331586891096007589027938140859801537572986143$ snfs
$11117$ 152 Jul 1, 2013 $317982270282571539405178702819481479504758636078535728721478547443$ snfs
$11239$ 160 Jul 1, 2013 $683118861538427864508103731840043106535733517$ snfs
$11351$ 131 Jul 12, 2013 $2096280753855441211686384773442977506785163$ snfs
$11369$ 151 Jul 12, 2013 $772652694976022095213586787459724127143003357483$ snfs
$11381$ 138 Aug 5, 2013 $77873374534402472479676368069442459738057549749$ snfs
$11393$ 114 Aug 1, 2013 $173402907285690409331785048644527763673$ gnfs
$11411$ 128 Aug 5, 2013 $544376036976134503843657672583040713611548525372057759294343$ snfs
$11549$ 142 Jul 13, 2013 $6593410897725166967615606524007512424693399$ snfs
$11597$ 129 Aug 25, 2013 $1103452276543062738624341326828899934411939563744486997140184117$
$121502441545585267627819527722466482363865176867922075541330156691$
snfs
$11677$ 131 Aug 26, 2013 $28667400243502482648794856954922368490043$
$2226124634733793892336649723168118792645679$
snfs
$11681$ 161 Mar 28, 2013 $643903114765620424014650159368410171084999008563990538817719$ snfs
$11777$ 160 Jul 13, 2013 $42883109222775603935398528321599931086803779478647837$ snfs
$11933$ 129 Aug 26, 2013 $180342546491647075230474191812575051143610914112020884859$ snfs
$11969$ 141 Aug 26, 2013 $38551945665046773157828164570463398361333$ snfs
$11971$ 133 Aug 27, 2013 $20346932344703147973659012516507889612209330006118397354118051$ snfs
$12101$ 155 Nov 13, 2013 $440604307183346498232537993349494704285123146754808271332222462107$ snfs
$12107$ 120 Aug 25, 2013 $12555938580861039122459048224497307173293$ gnfs
$12157$ 138 Nov 16, 2013 $5682021537221094674324316967814931851629335911143$ snfs
$12301$ 131 Nov 16, 2013 $23184900274578164918284264920210814962190206995300486507$ snfs
$12401$ 160 Nov 17, 2013 $8168327127490893434743742626364736103801022458803386026939106548967$ snfs
$12799$ 163 Mar 28, 2013 $81714324453751387829748350617529816657411$ snfs
$14143$ 115 Aug 1, 2013 $165092696181216682777775272042220572861633110685000927$ gnfs
$14897$ 166 Mar 1, 2014 $2491578537947217733450541933525877680737$
$25142401921671538828025631367222392121529524055190079$
snfs
$15259$ 152 Mar 1, 2014 $175422519327750426488606248656718729594039397$ snfs
$15427$ 125 Mar 5, 2014 $204688246831512272684739490941588774262772468118517$ snfs
$15583$ 165 Jul 2, 2013 $15075371490944096235390093226955166325051$ snfs
$15647$ 162 Mar 5, 2014 $63864598458032637263131767912446002490871122364368459354237$ snfs
$15671$ 136 Mar 5, 2014 $118332337969582815844030925419169693133144138650034503$ snfs
$15727$ 151 Mar 6, 2014 $31572904762768987530936647307971122576877$ snfs
$15739$ 165 Mar 7, 2014 $186517511552875984156207975899092905633797829$
$1112249516785518552880250079419711162474710916978503$
snfs
$15881$ 123 Mar 7, 2014 $968174577970955077006444912900809257736146196942675493$ snfs
$15887$ 106 Aug 1, 2013 $274182884388273898986698247184169110961$ gnfs
$15889$ 145 Mar 7, 2014 $328460025963194580490108582624284537504953$
$9622985300727549037855890557825279118044369979943$
$1898376276715715682961490269181249790095267910086173019$
snfs
$15901$ 151 Mar 7, 2014 $47477319954600952454851526154169041165896730139238878405207$
$39748557124157945171010778838133876700068830005332652682343571877980295347575641006030720461328460025963194580490108582624284537504953$
snfs
$15991$ 160 Mar 7, 2014 $1551060092448685692461538446820322084745112737802098472481260506618171600447$
$3880921598865045482970403298003830806109612941890978705035324178741261270313467831267$
snfs
$16087$ 142 Mar 9, 2014 $16018376539311107476920277461822816377305814463653255556083$

$116513291051802188253026231085127752995237954578866823801838015651944626463540349003$

snfs
$16111$ 167 Mar 9, 2014 $229317795344698290717791888072558945927119935871051$

$101253725868917120192930913201731928254103066620673700213438350475676959247163433010191886948735357485795859729992177$

snfs
$16493$ 115 Aug 1, 2013 $585938468422247698515030854254488830105708961178514732441$
$16598551750242356770441565962242167167810287933936763116461$
gnfs
$21011$ 171 Apr 1, 2014 $1116088683787943130031679343438648028821401139411916939$ snfs
$51241$ 114 Feb 11, 2016 $159872147974486354698698647925075418787$ gnfs
$51577$ 189 Mar 24, 2016 $741481418281179787819895241614217650651711$ ecm
$54917$ 190 Mar 24, 2016 $5251568403444821885149638770695164482987$ ecm
$57179$ 113 Feb 8, 2016 $4567163537377860208790095730389418320949411700651484703$ gnfs
$62351$ 192
155
Mar 23, 2016
Nov 9, 2016
$8715748407088342133236370663845564561$
$348862072484731922980338278113348860403073677373066529468733523$
ecm
snfs
$62753$ 192 Mar 24, 2016 $2537316399261403678351784024612336597155138951$ ecm
$63647$ 112 Feb 8, 2016 $67315063677493330263057033017947$
$842454656676132931645832291310354157549$
gnfs
$65993$ 193 Mar 30, 2016 $32160842514239782058509901254496663$ ecm
$68437$ 194 Apr 1, 2016 $1207325451294310960668456501025863730406801$ ecm
$69491$ 194
151
Apr 2, 2016
Mar 29, 2018
$7365787101032991794415429668656861717142393$
$5021332203575390408193816529692931514466559$
ecm
snfs
$71317$ 195 Apr 1, 2016 $12670195044593727813094625957849633099$ ecm
$75161$ 196
158
116
Apr 1, 2016
Apr 3, 2016
Apr 18, 2016
$44961998431647086175789694770900120263$
$775383919072292209221277249793385290672303$
$180404594164570201581290360862488202811771240651755898087$
ecm
ecm
gnfs
$76777$ 196 Apr 2, 2016 $950195485221840163089015949025333194214251289$
$32256549710009458791795172433403590133034723084763$
snfs
$77347$ 196
158
Apr 6, 2016
Apr 21, 2018
$130843103768316210532034762149166077217$
$43601585121723093736590098568482195589207745443431139767791907843$
ecm
snfs
$78929$ 196
157
Apr 2, 2016
Apr 27, 2018
$2679802863749905028688495443517777552971$
$57095019079702002165462794303168494562671647437836236187506369862684697443$
$50672047476050258961022868094972433682069168955827412792027715782181191475996992617$
ecm
snfs
$81901$ 169 Mar 12, 2015 $4090528046283359170676873346935001420047744892805041229$ list of P. Zimmermann of P-1 records P-1
$83437$ 197 Apr 10, 2016 $216256339877806341473341930679251179474313903709$ ecm
$83933$ 197 Apr 10, 2016 $1940726716142104288694308962412383523418437$ ecm
$84713$ 198 Apr 10, 2016 $566565876293056327832553341885160235817$ ecm
$87691$ 198 Apr 2, 2016 $438475008735484199297739715644649361607234854266166604175001$ snfs
$95107$ 200 Apr 2, 2016 $4919641801214344697771610225581307415746614383$ snfs
$95153$ 183 Mar 17, 2012 $31300202196914030183073604200779129994138419$ ecm
$95153$ 140 Dec 31, 2012 $102865672608413943106458586567808781654205261348077885949$ list of P. Zimmermann of P-1 records P-1
$99793$ 190
149
Mar 13, 2018
May 8.2018
$56806182637752933991911143677836031571839$
$12662570562433183956549573995900808323419064958449618825895739329699092509$
$7792066047205393419868002426180254038690232194172941362751630501209222429173$
P-1
gnfs
$100483$ 201
158
Mar 24, 2016
Apr 20, 2018
$3975721924207117259828008744483841859068327$
$12077449115040624609905929787155802769042517381769629031628861895938706717$
ecm
snfs
$101611$ 201 Nov 3, 2016 $44051106697293435547218292071664707628336140572587$
$402804396136807229046365433898991969790654807044553110304804185033$
snfs
$101749$ 201 Nov 6, 2016 $9759367776661511324815746736836227202881850335723825802920724797$ snfs
$101737$ 201
166
Apr 2, 2016
Apr 9, 2016
$88714941609840013385246217295567991$
$6043012814701798517494358969973934195643$
ecm
ecm
$125731$ 174
119
Mar 22, 2016
Mar 23, 2016
$1384343938297106243746364075528548032894477831058469801$
$39388462572401180266008709563237400684301985286783$
ecm
gnfs
$126047$ 108 Aug 1, 2013 $141371761717413303925780878803113883$

$1060523258894537380269750567415887108667098300559280640730706851353311471$

gnfs
$127447$ 116 Aug 2, 2013 $1168824253568946685882302899952843296647$
$10054113497803041223458927862583366273411760964717757997678971269637545251451$
gnfs
$143629$ 116 Aug 2, 2013 $35343301247490879784996444693381$
$806245557178162150935954469798114246726489542710271345580375828071569332397494575983$
gnfs
$204151$ 115 Aug 1, 2013 $496926919142652525752652195869938711871759$
$14635470984448914643963071476710785994900967969958973793700694545008321149$
gnfs
$212881$ 114 Jul 13, 2013 $4858468813507759017644781401$
$33808414858676541199678025501367611$
gnfs
$217081$ 197 Jul 24, 2014 $7242268012403414213718952670370968839062554846457257546972918021$ snfs
$244021$ 116 Aug 2, 2013 $173156572820794549970406778828418189$ gnfs
$304067$ 115 Jul 13, 2013 $15396551204943481807359636827393543127051667$ gnfs
$422581$ 116 Aug 1, 2013 $4097334917588392422276136224098338534449492618655644910007$
$9660652458367525057465836341571325049274943402881946314131$
gnfs
$468739$ 116 Aug 1, 2013 $4441366711734543695706186626191009548236560529736629$ gnfs
$500431$ 228 Apr 18, 2016 $58273278586510074322301101698049886531377\cdot\,$c188 ecm
$548557$ 141 Feb 8, 2016 $1745524130318034504438411646749945550532135602234321249$ gnfs
$567661$ 191 Oct 1, 2017 $3476277099574273472586508884176537529459408288497659437163063$ snfs
$830833$ 207 May 23, 2016 $64283334660394589336839954079037564091361809699625399327424603023493387520549$ snfs
$1674289$ 147
99
Feb 4, 2016 $1204275408401213179432176330469326052911124255237$
$180860918449898261793202315724732178045048373$
ecm
qs
$3237401$
$281^2\cdot41$
(M-value)
128 Jul 10, 2014 $3891471790820122538118777327685596753978103$ gnfs
$3283649$ 126 Jul 9, 2014 $14382431029834225161165721749501367098145667813$ gnfs
$5881423$ 271 Feb 21, 2016 $20397900776018537061456105707538586591$ ecm efforts on the remaining 234 digit composite: 704@4e7 ecm
$6592841$
(M-value)
137 Apr 12, 2018 $199898149693454129325231407833460897513474482276866816557$ gnfs
$6658769$
(L-value)
121 Apr 13, 2018 $19238933943751955228165503086629264684070620949340561133513$ gnfs
$6825024$
(L-value)
132 Apr 15, 2018 $3214475553311503110649604142909144345714416004490517$ gnfs
$6825024$
(M-value)
133 Apr 21, 2018 $96309702240434037919450889584976292320941883849405579167$ gnfs
$6925761$
(L-value)
128 Apr 26, 2018 $11505208693182231454844531251935061295176137233941246297$ gnfs
$7027236$
(L-value)
130 May 4, 2018 $222201138771454977546961519956681644368529457710049909982969679$
$13560285408381348253530150606138667438668611572578628690834305671027$
gnfs
$7198001$
(L-value)
129 May 2, 2018 $410390926743986264186257169663677325449616929284272661035019623$
$1973225296991239499890580535313533911888248135504683065226636720577$
gnfs
$7651584$
(L-value)
120 May 6, 2018 $334834508228971306041093432403096985472815927257832012478197$
$1328652074014281274162531561270628181977720438889453713241889$
gnfs
$9525284$
(L-value)
119 Apr 13, 2018 $2451726845456907051258312105104253970675441$ gnfs
$11343716$
(M-value)
130 Jul 14, 2014 $129449099725722818225579851052796580800925403792344283$ gnfs
$11386889$
(L-value)
142 Jul 19, 2014 $3357656583336952463272759011799690922627561922292409523620780659$ gnfs
$11516900$
(L-value)
138 Jul 18, 2014 $431879968063836990223307608519258193864043783325770712192189$ gnfs
$11779136$
(L-value)
128 Jul 13, 2014 $47803027628431721300408830329691702337$ gnfs
$12044324$
(L-value)
119 Apr 14, 2018 $4099037224817941426697745792317039540425493$ gnfs
$13602816$
(L-value)
119 Apr 13, 2018 $14493857010679783296953733829535393491597$ gnfs
$15156224$
(M-value)
120 Apr 24, 2018 $2999685978478102291955711551021230535271421352061$ gnfs
$16324601$
(L-value)
123 Apr 28, 2018 $1639813900430135686614600646423951398667$ gnfs
$16532225$
(M-value)
145 Apr 22, 2018 $136159851999874145466211697921157981844405242265946502653$ gnfs
$20381027$ 261 Sep 18, 2016 $3108905995215779465792677459463877728878835327275723717$ ecm
$21254400$ 118 Jul 5, 2014 $195651241492356072399018132075338429987$ gnfs
$25882657$ 297 Feb 7, 2016 $1999985613489019382720680367450215718767$ ecm
$53253289$ 310 Feb 10, 2016 $96077834490835756075462979545454994917$ ecm efforts on the remaining 272 digit composite: 704@4e7 ecm
$76623763$ 316 Feb 21, 2016 $4509020661790324669652862276362011635211412537167$ ecm
$100000095$ 321 Apr 7, 2017 $1781442537048873598388071901$
P293
ecm
$5691933643219$ 511 Feb 9, 2016 $53727363346386445317210315181613$ ecm

Related link

database factordb.com (Markus Tervooren)

Last update: May 10, 2018