# Factors of n! - 1 # # If you find new factors of these numbers, please let Paul Leyland # (paul@leyland.vispa.com) and Andrew Walker (ajw01@uow.edu.au) know. # # Last update 2006 October 1 # 3 5 4 23 5 7.17 6 719 7 5039 8 23.1753 9 11.11.2999 10 29.125131 11 13.17.23.7853 12 479001599 13 1733.3593203 14 87178291199 15 17.31.31.53.1510259 16 3041.6880233439 17 19.73.256443711677 18 59.226663.478749547 19 653.2383907.78143369 20 124769.19499250680671 21 23.89.5171.4826713612027 22 109.60656047.170006681813 23 51871.498390560021687969 24 625793187653.991459181683 25 149.907.114776274341482621993 26 20431.19739193437746837432529 27 29.375478256910977660716137931 28 239.156967.7798078091.1042190196053 29 31.59.311.26156201.594278556271609021 30 265252859812191058636308479999999 31 787.992078233.10531763920894209415469 32 263130836933693530167218012159999999 33 8683317618811886495518194401279999999 34 10398560889846739639.28391697867333973241 35 37.71.3933440413546305645095794190149676437 36 155166770881.2397377509874128534536693708479 37 53.439.1477897.6154980127.65031782905798661084563 38 523022617466601111760007224100074291199999999 39 41.10949.99563.456382297346497242065582795509270897 40 9190813196017748117.88775091588350692405196340547 41 43.83.1040629.9007130444054254388333146158506038994899 42 61.59167.2168466907.179521319669577538815789355998017711 43 97.607.857.883.12829.1298793158431.81378920130420431538741649 44 61.1249.44189.789574111709935122272126584166271486133485319 45 47.8968109.29695723986343.320577203500987.29811688252483929593 46 83.6089.81701.10576808395865566718629.12599799004296237004505413 47 340777.758922232166983630476717487252989432881907031252461287 48 67.967.9820729.19510292675860209956429673079405264165083328290779 49 823.3739397.197653021455862028208110725148879567449727922627417829 50 3282689.9264993790673858548163596419296731686851127709314075137791 51 53.90247.287282678119.19967303570082360959561.56533717390894655271258971 52 61.9931.167381.315037.2524979485348891286379813822180999833635163328006337 53 97.107.34968116649159559. P50 54 307.601.1297.30695366231.54106663006768609. P36 55 73.39619.277914269.148257413069.160494745883. P36 56 467.49033.1044371.6910291. P55 57 59.15307.60821.197933.12154743613. P51 58 3413.3181931.1134403433.951628008911. P48 59 61. P79 60 7331.809394310478457594898676919366517. P46 61 21966871.149269157792597.546815577555057568609561. P39 62 13143173.458476324671361.14811418309867156086978569321161. P33 63 461.25411.112913.909043. P70 64 431.1879.11369. P80 65 67.43411.10131127.138983473.3892024936038887. P54 66 45520421.399276571717.221624479389787622076772042626649. P42 67 89.593.1009.2309.4159660695629.1248379806881269. P56 68 895269581. P88 69 71.139.401.4643.541417. P83 70 1823.23114065957.486676665551.333434996390401. P61 71 73.2423.316717622835763.25653335447178545559259. P60 72 262819.168175527933731. P85 73 35026109.20805961087.2467564474920700877403677. P64 74 63533.4224758601013.935089819076008155381317399.572501857609087746044781729557. P34 75 151.601.863.209874199.89292099039066404446583.3968111331194553575695891. P46 76 711877.946837147351. P94 77 79.65092398534211571.7197081152989978879903.460713667599673925267213. P49 78 521.224717.3987488293. P98 79 21289796287569735866708594882309656982337071. P74 80 1270747.34037981588441.107696815311379729531745838349. P71 81 83.199.190178327955607364367559372040479613565547. P76 82 227.3917.12746512267. P107 83 167.19592941030043.569018285138785743945090436740972589. P74 84 661.853.3929.60951605441.37736359639980919. P90 85 14380211646881467415803462581621417951534002839. P83 86 18056085329836675547166722819.4498990032296049864443764715000903587. P66 87 89.76287083.1733598256793782223024375220367920953. P87 88 36987469.657371447.1638982174979. P106 89 199.1446675116203.13421883768091.4537719798691874303.2714664409368913077909931272340767694810709. P48 90 193.311.1851917.1407416468600333.1361598929624984516434347590715335332503841981. P67 91 32711166360407.88902066312168844499.419790526928647246447760544140764445623. P69 92 1847.123307. P134 93 884057. P139 94 P147 95 97.14983.405048793.13952770586273.12567987371175933926362928813184833422003421176616583508547. P63 96 103.883.1637.17657.279601504065761.41321451466032581613501320111901299.6362530125276957881204501556485777224877737. P46 97 823.1008409.23763997.135094134046186960540571260475926499.993292639325978587222572893472381397. P65 98 149.499.61395623.988346028049.2902738834753.380612210868192436431787361.433483282454071499630228513.2136787525465699346260623731. P37 99 101.331.8219124367748699129845858634653.4119842702492043412032706962320115960832703. P78 100 251614633.111730091441.6064256761153617866563. P117 101 103.233.1309854409490156443.50967329609794872813828672909815236088381. P97 102 419.446854608469.7517596214490051335825344881028792801065608068512131. P96 103 683357.25364313702509976239.623013311490263028295153743673. P109 104 188701.230874293223685545059. P141 105 107.107.211.1811.3923653.146368074299.13840355860511.314013920358759969538584440207708159. P92 106 82051.2954276561663726731348533829152043. P132 107 109.3313.960259.11442710659245161.67451412775987097229456759114365147. P110 108 497441582569.181871750999083. P149 109 199.124447.15824252755580629.2393584415705844388207. P132 110 90533.679735247.291374596607656314829. P144 111 113.223.619.22079.77515433.71907484857881021.55353226459576651599997. P122 112 571.571.790772324341378194783917.549585323219368602369820121. P127 113 3343239143.807281173211. C163 114 46592495579025763749447076981.156548140613622977981626666310401198875601601.10651838022424183034932542865787273875648790960999. P65 115 21839.2654065788714484499. P166 116 45353623723271.7249738248311668783.2441600989787695967962441.629568685143887122306747853927.60142427312522623487250730465114097841091. P64 117 199.414299629571.10596188107801343.38197980429736991738205655885367. P132 118 3257.18457.2834309.559478453.3339546779.93860151591549156672389. P140 119 239.1238749.612038098439.19949663277967.593016762123272567713327930159.135075706114535316950231097516031. P102 120 137.566161495146584181973.51442741042891005984634751109466441839162295178987. C127 121 449.9019468366543187582693440693767816128108542844167. P150 122 139.1381.86931787124894025899613982958574289. C163 123 149.12601.1048668380909.565310453158799.150152322348158556906709.546438722226889371614324889973.649887067848818772887462916835461246603936294119701. P69 124 774577.1371619964001615151511.48377627659132602412103759. P155 125 127.251.5669.1990086482671125913.2007083736859170236448088811.27540617119625946118459403939. P127 126 52147.8035604011121317. P191 127 28087.314264884421286209.134013277989741695639179.4975560684609281103633431477.5397554794221433215092107232321743.67713346982387980795461394231203640841. P70 128 797.1147463.96219075145726707178129001299019. P175 129 131.359.919.1675932179.188688334348298185613260389556326587556468251. P157 130 29033.1443754424824480405672165207097.10498667669119496541246764547364394150767. P146 131 233.12893.388797000863.767761264702576031559515348521. C174 132 503.491923.7281977.4139884411675565479171577. C185 133 829.2459843.216813557.370071375566251.1556151131905519619.513047728616968716016761833299351. P144 134 3227027.4879729.32442129901367. P202 135 137.271.6949.3570539239.66033127812014946343. P193 136 152879.64196736426947. C214 137 139. P233 138 83689.12874964001231931.2971353384953400387412890813435551763386023. P174 139 64795477.1573991401. C222 140 3947.171832839817277819.1662730817761212263.80480454695883671927072158689953459. C168 141 283.1183201. C235 142 641.809.63777121. C232 143 7533609175373352257. P229 144 601.126199.30558271.3464771911687901539424860777427.3531765816278468901225791666230489. C171 145 248117.25257305039.315760606303.26923083954138371.243800986741054776663727. C185 146 51898094889863.2380509486478171757596001707. C213 147 149.124561.13558499.3724863291360811.62084668239412172462588799443979596444213477. P183 148 17341.24943.2809840902017321.3852306482810075242089227.9088864093850479091560065309588212249987. C170 149 151.859.831435487847486304157. P235 150 577.37339.13506494051. P246 151 C265 152 5414503393501601524553. C246 153 307.479. P265 154 C272 155 157.311.2301011.5815404884437230485237. C241 156 11587.11863.5418404432286059811819647. C244 157 37272934189201737869016720929. P250 158 389.297885691. P270 159 81689.260983.16393439386673188319925898958293. C241 160 461. C283 161 163.1020529.40366054858583. C266 162 35793181936373. C276 163 22924381295670006234749.28562816824104372591745915524850476013. C232 164 278113772233834559378887. C271 165 167.331.8677.301493.27868207.17371134509.9637359160553.359072460921533.45340834916399427401941254087564552901. P199 166 P298 167 1186226926103899822371879437051237. C268 168 233.43319. P296 169 4523280465751. C292 170 2251.228131.183056051892809313193. C278 171 173.548791. C302 172 1367.31657510341133088431. P289 173 1429.5879.21493. P303 174 397.128311.49354237393. C298 175 1931.1625791. C309 176 467.14623142881637.187949671045778309. C288 177 179.457. C318 178 1157279. C319 179 181.359.1049.108476761.15077562611.6944561254864622437303.141044441574147019511887247.2723700285362100042230547527778317. C220 180 14737.25643.165535904147.382175392991761188822260633. C283 181 16887428617.339404803993. C310 182 40663529837104749779.265533834722777978804737399584403667. C279 183 18439.8799516533.1371622366097666677.1583408834147007349. P286 184 691.4789471.972978151.1593995949106763801004032952259869019. P284 185 953.17231.209186531. P326 186 1087140629648762261.27346357482680319232157163552689. P294 187 20754619.29009496401.5061408382152539. C312 188 147390931.3312000043153.833929275025094822440549. P303 189 191.379.619.853.119116007.23660535601.1318261066252095131.859898093417486999252052249867649. C270 190 389.71399.52242167.1519309147.269356684872488049450827.789210120777811500568846679. C278 191 193.2237.3902573.16282339.50382179. C328 192 17952190519544154606653037740279886064447. C317 193 1373.2113.1559647.794401079561.405787355833376578700460301. C308 194 3378301.14655461033.93759515797.26409149443379471407. C315 195 197.16894558517.388335263096857. C337 196 C366 197 199.4703.83613553193212565055629. P340 198 187027.15347741.696522889.192303711139. C338 199 3770119.1184888071.178221766267. C346 200 983.54577.1195064903.7101079502353532063312054917. P331 201 1148981.44361961346484528259. P352 202 209953. C375 203 344021. C377 204 300581.1498131033897203.5857782783722908444648891741552991. C330 205 46381.1927941391. C373 206 1787.462513654658939936008237221713.14926206558364500381330548427173. C325 207 1697533.14926539009247. P372 208 63439.510263191.1874664751. C371 209 211.69233.351269353.19522979183488271.833497448239434461315360317121. C334 210 571.30893.519887023.9952080601. C373 211 61441817.4945200627833.260216856712221527.1698561722424352389575067749. C336 212 51109.1377281.4900818037. C383 213 877. C403 214 4699350260900869065321689.240559684028943110677535629.726862345495057859165999906251297. C324 215 189088178519923097.11185255518896394101. P374 216 12743.93865764202585703.59594742963566784257.319533684487138097256724261216747494841. C333 217 84597893773559. C401 218 2287.2884051.236453389. C399 219 439.322683209.4237207577.266924337639576941.81574205967622462911640355351. P352 220 503.121678807.184124873. C403 221 223.1753.16363. C414 222 365912109763230734114664196329916163. C391 223 22639.36348936816005974711. C405 224 727.108907723.2681632306217. C408 225 227.1260687781. C422 226 10074237079293679.43357981767999363056631685720465594667803. C379 227 229. C436 228 673.140125939686871.170574915687827078420466072113. C394 229 359. P440 230 518182471.792329436403. P425 231 233.331.463.4223959. C434 232 C450 233 467.186647.1527606049769594294477. C423 234 857.9241.8152967347575527.2287818360282984294502441853. P405 235 9439.75807257. C445 236 277.359. C455 237 239.2861.15130181417131447991224699. C431 238 320370730031239.3154953482573531076029. C428 239 241.2011.12928841.827974559. C445 240 60637.215820281.72813468997.16484738626289. C432 241 3200033. C465 242 1493.2729.16493.281620179905648264831321. C440 243 487.560783.169785678706073. P454 244 24841.224491.5727742836680257. C453 245 198718853819.3592592306440326131928694995391829. C436 246 1889.4725431264929. C467 247 9460639.81263227.429716891.210471601552013. P448 248 8863.47422667053241.20238900353203095546743. C448 249 251.499.22051.61991.2016739.3742124538336017. C455 250 1321.12149. C486 251 80629.7033241.38217719. C476 252 12433. C494 253 62071.98202289. C487 254 361217753579.35341167267147184648349. C469 255 257.9726403.991422492725805588154223383. C469 256 42433.44879.7087669.195989513.7041393449.16174223568402499.132583107488749965329. C437 257 999451.22830323.28973742784428485783.35790323995816331771. C457 258 34841.3466171374603296979227. C486 259 167641.84084558541.10502584489655682791887103. C473 260 809.7932928462469011. C498 261 263.374753. P512 262 295873. C516 263 13165279. C517 264 883.3388509309973.1092482278925623501. C493 265 2113.430949.53354685457192289.1463348036079038481046361. C479 266 25089189765479779. C515 267 269.1279.31771.47058229.3097410157. C507 268 1153.521533889. C525 269 271.709. C534 270 6300377987396303.100549402395474111271. C506 271 C544 272 401.607.787.1014127.872092004687031460727. C511 273 547.12860153. C539 274 919.33040622219332757.6355471504979475751.118349159505769453321. C493 275 277.465701.9207173.20798857002105676635599. C516 276 727.1091.1289.4201.1633703. C537 277 743.327251.107095026893.1634021415472007266366210817. P512 278 1285780181453.137608045645814756168459. C526 279 281.457.480517.107382049.80324620333.619056193159. C522 280 953.805510115129. C551 281 283.311.8573. P559 282 135479.151897.2069557541381533209959. C539 283 214099421.350127943929857.1114817850008199657493434253. C523 284 728941.1997293. C563 285 10667.24131217133. C564 286 76387.21101569. C568 287 7638975719360340847. C564 288 1145497. C579 289 1549.10627433371.614101605827977.38190731685970173883. C540 290 5147.23604827.758543185067.1430382185042605361124441721. C540 291 293.4639.23747.22943901481158506593.256352639355042596057. C542 292 202361. C590 293 587.333563.851379151213.1492781071753919.32010160310911274413. C543 294 619.169523.202381.25474903.55188607.107782618631003.2387683870875126144047237299861.16735979398325746609543853499929. C496 295 5003.1656315766873. C587 296 28821449.12873166338171907607087583217. C570 297 2238857186428827118669.7663267780838454174128897. C561 298 5779.40157953729306943.2228107695632279991764789. C565 299 15137.83857.627491.2240083.138213297641. C580 300 107832727526633.7403513695136827.36129068964388425967.7092462956505000296082799. P541 301 1019.6269.9791.1637407.1921027.1362150039223.14877883952779. C569 302 37537.91676422053277915362366026059951. C583 303 1567.23468454787850270617. C600 304 396459994504174187. C607 305 307.20507.288728583067. C609 306 1702177. C624 307 C632 308 2441.156259.625637.9740761.861945059.2270692909.2283061147818331.459439053228143696956349. P556 309 311.89659.53497727.2111973975354414005635187719. C595 310 3842327.42801409792933403.240242690178602150114729. C593 311 313.5351971.1780667644614097259.9286898929269769163.73600044424475674016014391. C570 312 1273543. C639 313 2427406477. C638 314 121167937399. C639 315 317.8890241971657.16996272005282757867739. C615 316 3581.14797414759342590694743247. C626 317 809790959365397593. C639 318 593.3123866068176899.881649288863555014502806903221947287. C606 319 1201. C659 320 2699.2663701.4354131499.262600714750463214140297. C622 321 643.1289.235673.66049513.3129641389936669.6305322727979237908493. C611 322 C670 323 647.1231.33997189. C659 324 P675 325 479.18789149.14564948326339.168763482038611. C640 326 1557769. C674 327 449.1077300360571. C668 328 607.12795919133.393488178140249215770654301. C645 329 331.659.3307.5568643.2805982951.560267903057.78529877697311. C637 330 47556739.1323864427.1512996890927. C661 331 401.2831467.5548421. C677 332 5614799941269678125702413.168423787552135521736912063430479. C638 333 C698 334 C700 335 337.1913.924241.4656187.7070144983415467. C668 336 1627.22549.57340754815612159.6392714043061860543581.203497273880413262775126068713. C630 337 9643.163403. P698 338 157061.658391. C699 339 23201995004074693.2038657125518667569. C678 340 295643814828559.13210505732145368923.2832073446382737133920433. C657 341 4308230742051329.370589411702702197. C685 342 661.1511.820109.5655887.13916473.165944464269889. P680 343 186601. C718 344 13922748239921. C712 345 347.3659.1070009678973364956793. C701 346 3863.15881.622009.58595462036840653.93445346740399729.3778952010993188878441. C662 347 349. C730 348 631339.8120743270259.94689872102275152179. C697 349 2593.6841.8378865041. C721 350 C741 351 353.25218905278415549413.7392722058214769338943. C699 352 C746 353 3425955554953.119723002603481. C722 354 38317.72073. C741 355 28335195733469837. C737 356 3623.41956813.1723434462179. C732 357 359. C756 358 4351187.223670204279816989.2152879768607654267. C719 359 719. C761 360 2909633.374912712025207. C745 361 971.1733.4241. C759 362 1312828587662078099.638258216950674387043. C732 363 454504067. C765 364 4801.783296807.8134498095345247. C748 365 367.125285569.638239967. C759 366 661.140708169568951154801. C758 367 3750739280809981511.43221082155858466877. C746 368 557.1601. C781 369 10333. C785 370 1987.124769.98642893.466754445505463.134727069360646123.8943890733288215088458017. 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