Factorization of integers 9^n-8, n=3k<=483 (only the M part 9^(2k)+2*9^k+4; for the L part 9^k-2=3^(2k)-2 look at 3m series): #d - number of decimal digits; #f - number of factors/divisors; P(C)n - a prime (composite) cofactor with n decimal digits; Prime cofactors larger than 10^30 are listed in "prf09mM.txt"; Composite cofactors are listed in "ccf09mM.txt". n #d #f factors/divisors ================================================================= 3 3 1 M: 103 6 6 3 M: 7 31 31 9 9 2 M: 7 76129 12 12 2 M: 601 71647 15 15 3 M: 7 1567 317887 18 18 4 M: 7 7 1801 3200383 21 21 2 M: 31 737961355513 24 23 3 M: 7 21433 12350915977 27 26 2 M: 7 21442090867405729 30 29 4 M: 151 1249 16633 3875611321 33 32 2 M: 7 140681557463767621729 36 35 3 M: 7 118633 96054269502749017 39 38 2 M: 135271 47763984070730289793 42 41 3 M: 7 512593 145854406079177350897 45 43 8 M: 7 79 127 3361 4297 40591 214657 4796647 48 46 3 M: 223 114548617 134420525503084445137 51 49 4 M: 7 31 1087 1179114670842650446252736257 54 52 6 M: 7 103 4327 89977 21844993 3673878259858201 57 55 2 M: 7250599 251675808183582229559344740097 60 58 5 M: 7 7 199 13076977 1159161267922112980237374241 63 61 4 M: 7 48733687 895898713 39174113211786485461759 66 63 5 M: 31 1231 489847 2680584799 19353551188127966875519 69 66 4 M: 7 3743319991 8029376353 373352123646034041676423 72 69 2 M: 7 P45 75 72 3 M: 4864511833 2571772553834503 41195867309285410415497 78 75 5 M: 7 12237601 108183793 45621835820929 98737289359098445873 81 78 6 M: 7 7 790087 8421079 1059145249 9792672932153053322699813911 84 81 5 M: 79 6529 318817 3176574391 P33 87 84 6 M: 7 601 3217 386017 14409331017056929 294707864235532044314335609 90 86 4 M: 7 967 853739011057 P42 93 89 4 M: 3049 7993 360319537 P44 96 92 6 M: 7 31 92647 1289623 10801501378540153 P32 99 95 5 M: 7 1255519 170625409 63158518447 P38 102 98 1 M: P65 105 101 7 M: 7 103 151 3695737 150948822487 21118954367717671 4884951424255626444258636457 108 104 5 M: 7 136207 936170750329 1217423693495805125137 467053245597713569377104102071 111 106 6 M: 31 919 17047 223273 1280189551 P48 114 109 5 M: 7 487 1758073 6529619689 P53 117 112 4 M: 7 651464634313 791430677329 P50 120 115 3 M: 1879 24106816273 P63 123 118 5 M: 7 7 2025103 2268352831 P61 126 121 4 M: 7 2089 4993 P73 129 124 4 M: 937 23761 22127334614150407 P59 132 126 6 M: 7 337 535609 120559849 176524148623 P56 135 129 3 M: 7 823 P83 138 132 2 M: 1141495205010765473014344577 P61 141 135 7 M: 7 31 14503 561313 295003591 23650433083179981287304897094880383 P35 144 138 6 M: 7 7 7 6793441215978127 1499287453332159559 P56 147 141 3 M: 89809 16373289264442713779384212579929007 P55 150 144 4 M: 7 9926243001343 73286830435537 P68 153 146 5 M: 7 7666610473 9100298211919 203831071642351 P60 156 149 4 M: 31 103 165313 P91 159 152 4 M: 7 223 84056968711423 P85 162 155 5 M: 7 79 367 302130601967041 P84 165 158 3 M: 4511263 655757593613639556530523014281656785167 P60 168 161 4 M: 7 780991 423576121 P92 171 164 9 M: 7 127 44449 2246383 806823439 28389136231 251264635623049729 2225581835631713959 P40 174 167 3 M: 16603849767289 42738576000872053118494559945566981437049 P57 177 169 3 M: 7 310433974191189553 P95 180 172 5 M: 7 151 12640393 2450331098183598286169844840181561657 P68 183 175 4 M: 3686239 84127908457 1114789622767 P87 186 178 7 M: 7 7 31 2242018482899216041 53935384408146053572129 50546172040785225604690535945284057 P40 189 181 5 M: 7 104743 6892811929 283700421660851246462379630817 P76 192 184 4 M: 38824297 19433944628827039548077287285873 1345404483597945979952543275466799726079 P45 195 187 6 M: 7 1303 1924231 46204777 14037520348910563835479 P84 198 189 7 M: 7 1725079 4375597207393 290307774726494311 180481713619434127 95057339792563226034038209 P46 201 192 6 M: 31 79 499033 1623856899280824847 120389715080856956017 P81 204 195 6 M: 7 2113 7489 47791 28031573971700752847993654823793241359711 P77 207 198 8 M: 7 7 103 16111 25969 76403844488194481507647 2456550469853783133599113 P73 210 201 2 M: 455344813090940838049 P113 213 204 4 M: 7 18223 642193087 P122 216 207 6 M: 7 337 1500657049 382121299401319969 746805368304648588283657112689 P78 219 209 9 M: 3271 236641 130406239 270194113009 1626235608841 13705487348278839647929 134595442227569973559711 22994443195031948646055057 11089970454747677502813949441 222 212 5 M: 7 1831 14725153 1317824889024468205633321595434892608799447114389194005056081 P70 225 215 4 M: 7 12180529258675969 805814611509289638418555604460701929 P91 228 218 2 M: 87469422769889911 P129 231 221 3 M: 7 31 P145 234 224 6 M: 7 127 3502297 23241763129410262303 1253438989571400123891246946252118452690566967 P75 237 227 4 M: 601 227586343310286063673497794929441 15767528297388867607851661903351986103 P79 240 230 5 M: 7 43735565283793 23671429465949497764531882682606057762345663 4197416094779927137148694789760499945844269911 P50 243 232 5 M: 7 107979239344393 6020889969785710753849 72706243832228626144951 P96 246 235 6 M: 31 937 1759 2755913920277461171441 285053554645629441382040261744170332799042808546419207 P74 249 238 8 M: 7 7 751 121921 609079 352317319 79746911648763293145166923748788060764117575563529 P85 252 241 6 M: 7 2143 34652685483967 18205371599525099455850569 3907301508481502487805124406878971023177399987509707572679 P60 255 244 4 M: 151 3121 30461773656439 P144 258 247 7 M: 7 103 199 14127212300911 409121668174783 1827138610889892223686748784221338350726593 P89 261 250 5 M: 7 291171841 649323457 792369037261890185598132422023 P119 264 252 4 M: 1606399 2740178233213303 7314426667724454841183 P125 267 255 5 M: 7 1153 5209 14887 P159 270 258 5 M: 7 7 607 301851434722337473641007 P144 273 261 5 M: 10399 18367 288433 442709034007 C149 276 264 8 M: 7 31 4177 1260799 363834846454975657 217905333008115717254359 36926859350548130427926934922494699649 P86 279 267 7 M: 7 79 14143 3840499417 5306784409 456951972703 C140 282 270 2 M: 463 C177 285 272 8 M: 7 188833 307687 76299938281272031 161752812977733766567 562948448176498014649 10080732383352523444714441 P87 288 275 4 M: 7 87991 10042957844209 P165 291 278 6 M: 31 24740784536130511711 3468903451967748008239 6033257896593258456511 8378088308782904636441138891255728897 P84 294 281 5 M: 7 3928336063 97504503823 54474817779304687 C149 297 284 4 M: 7 1033 127658790458239 C171 300 287 2 M: 23248663 C184 303 290 4 M: 7 37993 117642409 P180 306 292 4 M: 7 88423 112759 C184 309 295 5 M: 103 1040311 59926962120839823241 280611344539435316089986433176463 P137 312 298 8 M: 7 7 601 2976404791 216924692536082863 2842361113466429190967 15305147157155361125407 P124 315 301 3 M: 7 102241 C195 318 304 4 M: 79 71353 1666145348076857333316200549633152879 C160 321 307 9 M: 7 31 2833 1656079 334437364903 3155073944839 226076361479192156933863 233141354836324721499154781857249 P113 324 310 3 M: 7 216173405151815119 C188 327 313 2 M: 15964717155899787872412945648626209738927 P168 330 315 3 M: 7 151 C207 333 318 11 M: 7 7 9631 88129 230431 948049 1151309359 1248863023 1940010481 1774631546882516053021492383623766799 P127 336 321 8 M: 31 16780953289 439027264247041 6552845234592195841 19935710850745035310777081 333434686480062949401688486853761 50408020168908554594659591497368115247087 P71 339 324 2 M: 7 C215 342 327 6 M: 7 1249 397849 256070911 507977235229133529665288254076281 P167 345 330 4 M: 367 6666239119 66899415635953 P194 348 333 2 M: 7 C221 351 335 4 M: 7 634519 519175350702937 C202 354 338 3 M: 218202291325063 13719406760109257035446056493487 C180 357 341 6 M: 7 199 199999 3781153251679 10183307992105657 P191 360 344 5 M: 7 103 127 93462151 C217 363 347 2 M: 4698540036574809097 P213 366 350 4 M: 7 31 110386921 P223 369 353 4 M: 7 189271 565212131869035128623 C208 372 355 2 M: 245593176149287 P223 375 358 6 M: 7 7 1662631 6307568417911 2420592206244170934477391 P194 378 361 5 M: 7 7004647210451305023391 176851992392344781511271 2095492078948440116587369 P171 381 364 5 M: 31 223 10303 826917176003983 C220 384 367 4 M: 7 337 188923546375585787192568277567 C212 387 370 3 M: 7 780098836873 C234 390 373 4 M: 1609 56431 1058211281950341035468306037191548729 C205 393 376 5 M: 7 6490035961 4129893621841014598493239 167541342934789425958889696805211489 P180 396 378 8 M: 7 7 79 14538014119 645968652898663 403345409049048219116837959 1947402412951605208082669239 P170 399 381 4 M: 31365463 574491793 27010438290976312400891612285071 C207 402 384 7 M: 7 51361 18876433 358053750373792819686097 305588069136910725102466499617 1316805384126991444655658269513047 C157 405 387 6 M: 7 151 913873 2158129 6894850464273572910881772696159193 C209 408 390 1 M: P260 411 393 7 M: 7 31 103 6476282806858897 1705753515539457147487 277553812338047699717892442896007 P188 414 396 3 M: 7 238732990729 C252 417 398 7 M: 919 1753 7129 165721 10178191 299711439740787751 C226 420 401 7 M: 7 2593 19249 56396671 28734048367706859471874927 584035779557470342148946995426743 C193 423 404 3 M: 7 127 P267 426 407 5 M: 31 36457 35340337 39535229521 C247 429 410 2 M: 7 P273 432 413 2 M: 7 C274 435 416 6 M: 79 1810033 3556801 2487141967 1119254611967096977 C235 438 418 7 M: 7 7 7 628057 35825354541631 144579987592998546139687284769 P228 441 421 5 M: 7 135367 860402252839417129489 14797593010290211577251681 C229 444 424 2 M: 336497483967821449342627963087 C253 447 427 3 M: 7 3334937071033 P271 450 430 4 M: 7 7612201 36061435136068879 C262 453 433 1 M: P289 456 436 4 M: 7 31 1733103493771129 C273 459 438 5 M: 7 7 1246639 896707393 P276 462 441 6 M: 103 601 631 1327 26958242245922305166722873 P258 465 444 6 M: 7 130657 316153 1513081173649 713270054682804112037721982951 P243 468 447 5 M: 7 337 1801 19650906795630467839 C272 471 450 3 M: 31 31 C297 474 453 4 M: 7 3094951 86498980155377991270668239057 C266 477 456 3 M: 7 93077919648627577780489 C280 480 459 8 M: 151 937 184279 308797453733027089 23098714678583116129 10696139735334958266283296968647 2337717553749773187595635446437831 C194 483 461 4 M: 7 11329 873010551727 P291