tables

400:

\[{4^{400}-1\over3}\]

5³ × 11 × 17 × 31 × 41 × 101 × 251 × 257 × 401 × 601 × 1601 × 1801 × 4051 × 8101 × 25601 × 61681 × 65537 × 268501 × 340801 × 414721 × 2787601 × 82471201 × 3173389601 × 4278255361 × 44479210368001_<14> × 3399426377632056001_<19> × 4850484222084371979240001_<25> × 432363203127002885506543172618401_<33> × 129541188208935646963818844716591986208974410651257601_<54>

401:

\[{4^{401}-1\over3}\]

18885983617_<11> × 856971565399_<12> × 2136958965524920285681_<22> × 3178641606717935496778334833_<28> × 594538100848945223169882301931953_<33> × 24789994689980013078275217373572023257787_<41> × 1156776348417160383928286284678419338772193_<43> × 4743358775443804666040010704534780418840545962266329593_<55>

402:

\[{4^{402}-1\over3}\]

3 × 5 × 7 × 13 × 269 × 1609 × 2011 × 3217 × 9649 × 10453 × 22111 × 132661 × 192961 × 6324667 × 7327657 × 15152453 × 42875177 × 193707721 × 214473433 × 2559066073 × 71848008781_<11> × 175132692529_<12> × 761838257287_<12> × 6713103182899_<13> × 9739278030221_<13> × 59151549118532676874448563_<26> × 15704900959651293774270521395753_<32> × 87449423397425857942678833145441_<32>

403:

\[{4^{403}-1\over3}\]

2731 × 6449 × 8191 × 18539 × 45137 × 576759899 × 715827883 × 2147483647 × 8532838289_<10> × 153633897920257_<15> × 332487941209315679354716083841839125427819013300080110406512328158433464286107_<78> × 3049265608323207033354525040420863372400727272926604181336315082400000135598108701713853477087_<94>

404:

\[{4^{404}-1\over3}\]

5 × 17 × 809 × 9491060093_<10> × 5218735279937_<13> × 7432339208719_<13> × 600503817460697_<15> × 341117531003194129_<18> × 53425037363873248657_<20> × 4126631533969610752526181761_<28> × 845100400152152934331135470251_<30> × 588943501843708599443948572545716455743917429442946085514657968934735722314417529833656361841_<93>

405:

\[{4^{405}-1\over3}\]

3⁴ × 7 × 11 × 19 × 31 × 73 × 151 × 163 × 271 × 331 × 631 × 811 × 2593 × 6481 × 9721 × 15121 × 23311 × 71119 × 87211 × 135433 × 262657 × 348031 × 537841 × 18837001 × 74967931 × 97685839 × 272010961 × 2437880491 × 448217524891_<12> × 10360573664851_<14> × 49971617830801_<14> × 385838642647891_<15> × 1969543281137041_<16> × 11096527935003481_<17> × 17645665556213400107370602081155737281406841_<44>

406:

\[{4^{406}-1\over3}\]

5 × 29² × 43 × 59 × 113 × 127 × 233 × 1103 × 2089 × 136417 × 3033169 × 107367629 × 121793911 × 536903681 × 596834617 × 3692022713 × 9810958633253_<13> × 252715814615565962418688965855731_<33> × 11348055580883272011090856053175361113_<38> × 21597468549493958664902504331670645757_<38> × 28474083676894571496726280348891354240661831606009_<50>

407:

\[{4^{407}-1\over3}\]

23 × 89 × 223 × 683 × 1777 × 3257 × 15467 × 25781083 × 616318177 × 2248206137 × 3068001817 × 25330067076999169_<17> × 1826375940722234754636475033_<28> × 42897689055449636582684640379732099_<35> × 93189126452944019033888022519639331350438619_<44> × 64374964789425759023795123420605218308370931223311543823123770088423_<68>

408:

\[{4^{408}-1\over3}\]

3 × 5 × 7 × 13 × 17² × 97 × 103 × 137 × 241 × 257 × 307 × 409 × 673 × 953 × 2143 × 2857 × 3061 × 6529 × 8161 × 11119 × 13669 × 26317 × 43691 × 131071 × 354689 × 383521 × 40932193 × 1326700741 × 1467129352609_<13> × 2368179743873_<13> × 2879347902817_<13> × 737539985835313_<15> × 373200722470799764577_<21> × 116244395157193581337282640791798084114394917399572436767868837818708235649281_<78>

409:

\[{4^{409}-1\over3}\]

4480666067023_<13> × 76025626689833_<14> × 176596029450915408652219208387_<30> × 18791937710720575305760721588966789412396307_<44> × 132798898521004777680398175782876221227618319985219_<51> × 3881196575913244673719425770871246487895686937951690944453838586764072695131586617955811936945129_<97>

410:

\[{4^{410}-1\over3}\]

5² × 11 × 31 × 41² × 83 × 821 × 10169 × 13367 × 181549 × 2940521 × 12112549 × 43249589 × 164511353 × 269896441 × 8831418697_<10> × 70171342151_<11> × 61213422340181_<14> × 82777720757144341_<17> × 758399801407611361_<18> × 3655725065508797181674078959681_<31> × 76401557052661070266405340180269721_<35> × 2125820563389437533390243893834597846757304863651_<49>

411:

\[{4^{411}-1\over3}\]

3 × 7 × 823 × 1097 × 15619 × 7663507 × 2017223347 × 2707079449 × 27261904199932321_<17> × 32127963626435681_<17> × 105498212027592977_<18> × 32032215596496435569_<20> × 5439042183600204290159_<22> × 647923469936355993348337_<24> × 298291609560028759691116319707152042481_<39> × 241777014709302954850239652300043393011478307432536296651_<57>

412:

\[{4^{412}-1\over3}\]

5 × 17 × 41201 × 454849 × 667441 × 17325013 × 40151873 × 520379897 × 2550183799 × 415141630193_<12> × 52317884766401_<14> × 142500609730433_<15> × 473000157711296729_<18> × 8142767081771726171_<19> × 3976656429941438590393_<22> × 117070097457656623005977_<24> × 6846308393020964165241534187187578280122560160805821004078877538585253503361_<76>

413:

\[{4^{413}-1\over3}\]

43 × 127 × 827 × 2833 × 37171 × 179951 × 1824726041 × 2006647231 × 3203431780337_<13> × 170735974773267443_<18> × 6774027833473375976915021445395839_<34> × 21256743751927370220630952377105576570016395501658460697868351_<62> × 6043930497790503973481076813462520042997083539133970912065745573049492802026928038019_<85>

414:

\[{4^{414}-1\over3}\]

3² × 5 × 7 × 13 × 19 × 37 × 47 × 73 × 109 × 139 × 277 × 829 × 1013 × 1657 × 3313 × 18217 × 30269 × 79903 × 178481 × 318781 × 853669 × 2796203 × 6542857 × 634569679 × 26785337149_<11> × 168749965921_<12> × 2232578641663_<13> × 5415624023749_<13> × 10052678938039_<14> × 42166482463639_<14> × 70334392823809_<14> × 25395382141805460457_<20> × 496817081109150685921_<21> × 6113142872404227834840443898241613032969_<40>

415:

\[{4^{415}-1\over3}\]

11 × 31 × 167 × 499 × 1163 × 2657 × 116201 × 155377 × 134396921 × 13455809771_<11> × 470933694191_<12> × 3028917598961_<13> × 130666175908831_<15> × 57912614113275649087721_<23> × 32367218471375835379289471_<26> × 46782247616476922972329742136208001_<35> × 50929180793846693291417995382274682032538517912143288980598150164689406520921833577411_<86>

416:

\[{4^{416}-1\over3}\]

5 × 17 × 53 × 157 × 257 × 641 × 1613 × 2731 × 8191 × 65537 × 858001 × 928513 × 4940417 × 6700417 × 308761441 × 11342687617_<11> × 18558466369_<11> × 23877647873_<11> × 21316654212673_<14> × 715668470267111297_<18> × 78919881726271091143763623681_<29> × 703135063886107310322869668180880900631970395041438633085656587740154733922499375339477804972453889_<99>

417:

\[{4^{417}-1\over3}\]

3 × 7 × 441187 × 1694689 × 4506937 × 5625767248687_<13> × 7606017793609_<13> × 123876132205208335762278423601_<30> × 51542639524661795300074174250365699_<35> × 392856131525846647191238066992041449_<36> × 551151871547616119938126402169604817_<36> × 9121860314802631535729338714627536721870308627534265066967795115502591_<70>

418:

\[{4^{418}-1\over3}\]

5 × 23 × 89 × 229 × 397 × 419 × 457 × 683 × 2113 × 6689 × 174763 × 524287 × 525313 × 2039731321 × 8857714771093_<13> × 94803416684681_<14> × 1512348937147247_<16> × 149832750683283097_<18> × 3066290411598855013_<19> × 3410623284654639440707_<22> × 27290812893120485231161_<23> × 1937385241416564065603093_<25> × 5346950541323960232319657_<25> × 1607792018780394024095514317003_<31>

419:

\[{4^{419}-1\over3}\]

839 × 5867 × 903780021613921_<15> × 5800422716722833271214743_<25> × 548560489336890960473978059_<27> × 10287968884341772230096159036619433593_<38> × 29919490848598531825060153417921002916701815927_<47> × 140218822707485169044055428988288042447908215432246815852158858072198555895717462599488300190371_<96>

420:

\[{4^{420}-1\over3}\]

3 × 5² × 7² × 11 × 13 × 17 × 29 × 31 × 41 × 43 × 61 × 71 × 113 × 127 × 151 × 211 × 241 × 281 × 331 × 337 × 421 × 1321 × 1429 × 3361 × 5419 × 14449 × 29191 × 61681 × 86171 × 106681 × 122921 × 127681 × 152041 × 664441 × 1130641 × 1564921 × 7416361 × 15790321 × 47392381 × 755667361 × 4562284561_<10> × 88959882481_<11> × 146919792181_<12> × 1041815865690181_<16> × 84179842077657862011867889681_<29> × 54169520413224311136354324156824071681_<38>

421:

\[{4^{421}-1\over3}\]

4211 × 614002928307599_<15> × 32983076027612611_<17> × 12996623037294014057591212988182028173802393910829199191218499846140826287303581583005154159743906016002531_<107> × 8819779591697258388298117725624832271141577326602771028307143781815455970700534027206522451123308835472505327249_<112>

422:

\[{4^{422}-1\over3}\]

5 × 4643 × 15193 × 9878177 × 95110361 × 5344743097_<10> × 199061567251_<12> × 18455044087121_<14> × 60272956433838849161_<20> × 22481127512575175864234185190299_<32> × 3593875704495823757388199894268773153439_<40> × 178325724886188112393573476458482965256782477560753_<51> × 6920400848110359047653995057624941367485834954585997077_<55>

423:

\[{4^{423}-1\over3}\]

3² × 7 × 19 × 73 × 283 × 2351 × 4513 × 1681003 × 13264529 × 85693033 × 4375578271_<10> × 35273039401_<11> × 111349165273_<12> × 165768537521_<12> × 6596828416459_<13> × 646675035253258729_<18> × 1617189999730415801728461273583_<31> × 65822575300775658772854198368766558032903129506601623_<53> × 241158858171883059466688969410187157879210229879717221093613507_<63>

424:

\[{4^{424}-1\over3}\]

5 × 17 × 107 × 257 × 1697 × 6361 × 69431 × 15358129 × 20394401 × 586477649 × 1692645313 × 28059810762433_<14> × 1801439824104653_<16> × 10920513604018498900801_<23> × 20946001591429012199281424246257_<32> × 99335205800663868215396640964567095667094665346141013294320587365443384719802857319737050495099341955640963272958071602273_<122>

425:

\[{4^{425}-1\over3}\]

11 × 31 × 251 × 601 × 1801 × 4051 × 43691 × 131071 × 91362251 × 5046718903451_<13> × 9520972806333758431_<19> × 26831423036065352611_<20> × 4777345536534924905725989065906794483551790056167373849557595739795782900601_<76> × 2069237502716464794985816105550982396339012259800336045348830659287429006970383760001800897298401_<97>

426:

\[{4^{426}-1\over3}\]

3 × 5 × 7 × 13 × 569 × 853 × 5113 × 17467 × 66457 × 102241 × 189997 × 228479 × 266677 × 1396429 × 18369973 × 48544121 × 56409643 × 148587949 × 212885833 × 4999465853_<10> × 5585522857_<10> × 40524027877_<11> × 472287102421_<12> × 13952598148481_<14> × 20111008087273_<14> × 2849881972114740679_<19> × 4205268574191396793_<19> × 203525545766301306933226271929_<30> × 2646185328486854129693169911139349_<34>

427:

\[{4^{427}-1\over3}\]

43 × 127 × 33282089 × 57461778571_<11> × 768614336404564651_<18> × 2305843009213693951_<19> × 1340235308854811506044205739394787_<34> × 45388918821243922076531264049185505868800192485507712713181818563_<65> × 35560193412972319062061768261639727517478499914167548496031688280584977077562191671059223282469465959_<101>

428:

\[{4^{428}-1\over3}\]

5 × 17 × 643 × 857 × 843589 × 4209809 × 13012913 × 8174912477117_<13> × 23528569104401_<14> × 37866809061660057264219253397_<29> × 84115747449047881488635567801_<29> × 162259276829213363391578010288127_<33> × 992005069953996722026755979686303668059315249_<45> × 750305988172977439124935900508680523429897046359842693070433217278337_<69>

429:

\[{4^{429}-1\over3}\]

3 × 7 × 23 × 67 × 79 × 89 × 683 × 859 × 2003 × 2731 × 8191 × 20857 × 121369 × 599479 × 724153 × 22366891 × 6156182033_<10> × 10425285443_<11> × 17286204937_<11> × 158822951431_<12> × 15500487753323_<14> × 5782172113400990737_<19> × 1065107717756542892882802586807_<31> × 8340357737139637289786276330761_<31> × 167833515549285827885461382441449_<33> × 185074846248319535013227469188526344689_<39>

430:

\[{4^{430}-1\over3}\]

5² × 11 × 31 × 41 × 173 × 431 × 1721 × 9719 × 101653 × 129001 × 370661 × 500177 × 1952201 × 2099863 × 9084611 × 731516431 × 4538991421_<10> × 514851898711_<12> × 1759217765581_<13> × 2932031007403_<13> × 260125854015641_<15> × 1401345270171101_<16> × 297927289744047764444862191_<27> × 59904608378705661377430182608711698924130721_<44> × 1131832377932535124189124787988905860893840561_<46>

431:

\[{4^{431}-1\over3}\]

863 × 3449 × 36238481 × 76859369 × 558062249 × 4642152737_<10> × 1807447391779_<13> × 37452571239931_<14> × 142850312799017452169_<21> × 1807482391092819529831423005040763105191863029850140579776353298087457_<70> × 27306093454857278136151466787158724903415193508113091644798914026250805107043994199261467851009282903867_<104>

432:

\[{4^{432}-1\over3}\]

3³ × 5 × 7 × 13 × 17 × 19 × 37 × 73 × 97 × 109 × 193 × 241 × 257 × 433 × 577 × 673 × 1153 × 6337 × 38737 × 65537 × 87211 × 246241 × 262657 × 279073 × 22253377 × 33975937 × 209924353 × 4261383649 × 38941695937_<11> × 278452876033_<12> × 487824887233_<12> × 68016300334849_<14> × 138991501037953_<15> × 24929060818265360451708193_<26> × 7311824282729722035859309520826138827918372038863677678267962656996811009_<73>

433:

\[{4^{433}-1\over3}\]

2837017 × 22086765417396827057_<20> × 737748363812546584876297_<24> × 5028667832511715101284999_<25> × 270704078857734344240200528055897595961633472511075822112527121_<63> × 2606183132138030764546859544508036625264200226623778027104271451894363041937476932557423900859378779986059264324844085017443_<124>

434:

\[{4^{434}-1\over3}\]

5 × 29 × 43 × 113 × 127 × 5209 × 5581 × 8681 × 31249 × 49477 × 62497 × 384773 × 16233337 × 715827883 × 2147483647 × 6268703933840364033151_<22> × 378428804431424484082633_<24> × 776729668507005203702993_<24> × 139335546032913681584758997_<27> × 140508608590164280225934233098866842745808905947_<48> × 867988564747274927163124868127898657976489313137639569_<54>

435:

\[{4^{435}-1\over3}\]

3 × 7 × 11 × 31 × 59 × 151 × 233 × 331 × 1103 × 2089 × 4177 × 3033169 × 7060051 × 7553921 × 23476081 × 24578371 × 9857737155463_<13> × 96076791871613611_<17> × 256582225885581001782477601_<27> × 999802854724715300883845411_<27> × 2679895157783862814690027494144991_<34> × 178137551056208627463817592059032323866951_<42> × 5118520748107713872196889605626300465168091691_<46>

436:

\[{4^{436}-1\over3}\]

5 × 17 × 5669 × 598193 × 104124649 × 666184021 × 745988807 × 74323515777853_<14> × 1746518852140345553_<19> × 171857646012809566969_<21> × 870035986098720987332873_<24> × 2077756847362348863128179_<25> × 35695338233523972669330604417_<29> × 576694829762330794568961139476826913_<36> × 847676809695323228372386223737948820266344360100553839813537_<60>

437:

\[{4^{437}-1\over3}\]

47 × 7867 × 174763 × 178481 × 524287 × 2796203 × 3198841 × 5579617 × 6203145044672921_<16> × 668214452631436913_<18> × 315929758125865060721_<21> × 1905976815426273605733466333451_<31> × 76477819765444619368130651164956718316971995659_<47> × 728853407707467208421993458966504139019157860437186335406130262344738292438484569798131887_<90>

438:

\[{4^{438}-1\over3}\]

3 × 5 × 7 × 13 × 293 × 439 × 877 × 1753 × 3943 × 9929 × 1013533 × 2298041 × 371335727233_<12> × 704710824913_<12> × 9361973132609_<13> × 649301712182209_<15> × 9070197542196643_<16> × 671165898617413417_<18> × 1795918038741070627_<19> × 4815314615204347717321_<22> × 9444732965601851473921_<22> × 142406868765525436670617_<24> × 3278244690156222434135906137_<28> × 18478609113710122023550126425157_<32>

439:

\[{4^{439}-1\over3}\]

3740281 × 104110607 × 5612260289_<10> × 78527789689_<11> × 127321491658223_<15> × 122551752733003055543_<21> × 6563213024281378912864020513717469284499_<40> × 43738605422458594461749425887615137142500083312917612669874016537_<65> × 873880146833642190373525520936770796845382029997855219402285283144955696825577908510162169_<90>

440:

\[{4^{440}-1\over3}\]

5² × 11² × 17 × 23 × 31 × 41 × 89 × 257 × 353 × 397 × 683 × 881 × 2113 × 2971 × 3191 × 47521 × 61681 × 109121 × 148721 × 201961 × 229153 × 48912491 × 89119361 × 119782433 × 2931542417 × 3404676001 × 4278255361 × 43872038849_<11> × 415878438361_<12> × 3630105520141_<13> × 11035465708081_<14> × 2546717317681681_<16> × 127886114126296744221796660380215073025601_<42> × 3959230115153309849247403143218625469852321_<43>

441:

\[{4^{441}-1\over3}\]

3² × 7³ × 19 × 43 × 73 × 127 × 337 × 883 × 3529 × 5419 × 22051 × 92737 × 126127 × 309583 × 311347 × 649657 × 748819 × 5828257 × 77158673929_<11> × 4363953127297_<13> × 4432676798593_<13> × 26032885845392093851_<20> × 2741672362528725535068727_<25> × 4487533753346305838985313_<25> × 1996187656530838599012839257_<28> × 169462032913464877812492288268723_<33> × 7086423574853972147970086088434689_<34>

442:

\[{4^{442}-1\over3}\]

5 × 53 × 137 × 157 × 443 × 953 × 1327 × 1613 × 2731 × 8191 × 26317 × 43691 × 131071 × 1210509821 × 2291059412513_<13> × 4714692062809_<13> × 6670914925963435577_<19> × 1118498440898880562062959177194663477_<37> × 2380142106509122200127345885819001687213_<40> × 4507513575406446515845401458366741487526913_<43> × 2365454398418399772605086209214363458552839866247069233_<55>

443:

\[{4^{443}-1\over3}\]

887 × 48731 × 489333371 × 207818990653657_<15> × 2036829768181123_<16> × 203369567047358792597230853956871186267775970073_<48> × 766506724027386556749116942627320053266817922278079798057_<57> × 123219439267346362049744425289349676468781136823956005602631224069302162695430546376768705960936201429580820215522273_<117>

444:

\[{4^{444}-1\over3}\]

3 × 5 × 7 × 13 × 17 × 149 × 223 × 241 × 593 × 1777 × 3109 × 3331 × 17539 × 92353 × 126097 × 321679 × 532801 × 854257 × 25781083 × 26295457 × 184481113 × 231769777 × 319020217 × 616318177 × 1398316729 × 4345052821_<10> × 107775231312019_<15> × 85337232196804809313_<20> × 1453030298001690873541_<22> × 20988936657440586486151264256610222593863921_<44> × 1167921844796930836978129504180973017018182961_<46>

445:

\[{4^{445}-1\over3}\]

11 × 31 × 179 × 2671 × 7121 × 62020897 × 131865932411_<12> × 18584774046020617_<17> × 40853155149612675915761_<23> × 618970019642690137449562111_<27> × 1460384540571001412284141831845453026637206635511_<49> × 1213879697009617667840625625239307278583085260903037111_<55> × 347845646370185161095967265379428963144557189176373959511073050525241_<69>

446:

\[{4^{446}-1\over3}\]

5 × 11597 × 18287 × 196687 × 1466449 × 2916841 × 6530333 × 95768689 × 219256122131_<12> × 52016435676012089_<17> × 6912010464887165201_<19> × 1469495262398780123809_<22> × 596242599987116128415063_<24> × 5150313398606574060240971858429891941_<37> × 2705981985587527191852752325795076108854553_<43> × 20493495920905043950407650450918171260318303154708405513_<56>

447:

\[{4^{447}-1\over3}\]

3 × 7 × 1193 × 650833 × 38369587 × 19687929049_<11> × 86656268566282183151_<20> × 8235109336690846723986161_<25> × 7984559573504259856359124657_<28> × 8622186599991634321861907987522778823799744005651006554580680854177065460635939_<79> × 72751284869088788795301631728906362894695299875729701287430721838248329952225963533888951_<89>

448:

\[{4^{448}-1\over3}\]

5 × 17 × 29 × 43 × 113 × 127 × 257 × 449 × 641 × 2689 × 5153 × 65537 × 274177 × 1489153 × 6700417 × 15790321 × 183076097 × 54410972897_<11> × 67280421310721_<14> × 358429848460993_<15> × 167773885276849215533569_<24> × 37414057161322375957408148834323969_<35> × 26459340441441866087731114978932791810378456514228699635808330483947834929412856490368283423658331445600601857_<110>

449:

\[{4^{449}-1\over3}\]

194867 × 1256303 × 4332851 × 6871197486841_<13> × 3578620616468306981503_<22> × 179293953141823358107657_<24> × 526385733768051189441947168504909159_<36> × 89396693392545895668303801721053258296972567022618106513441_<59> × 3200877854760201765189686240178650665787305384308641898388890911033891323416400473331390370691357659_<100>

450:

\[{4^{450}-1\over3}\]

3² × 5³ × 7 × 11 × 13 × 19 × 31 × 37 × 41 × 61 × 73 × 101 × 109 × 151 × 181 × 251 × 331 × 601 × 631 × 1201 × 1321 × 1801 × 4051 × 8101 × 23311 × 54001 × 63901 × 100801 × 115201 × 268501 × 617401 × 695701 × 10567201 × 13334701 × 18837001 × 29247661 × 1182468601 × 1348206751 × 4714696801_<10> × 1133836730401_<13> × 307116398490301_<15> × 413150254353901_<15> × 6269989892198401_<16> × 13861369826299351_<17> × 3192261504216112476901_<22> × 281941472953710177758647201_<27>

451:

\[{4^{451}-1\over3}\]

23 × 83 × 89 × 683 × 13367 × 18041 × 20747 × 216481 × 21737299 × 164511353 × 8831418697_<10> × 2168435713049_<13> × 9718704501529_<13> × 538939720215834697_<18> × 63146810207339718162566404988206179064461273050603002917638397126970137660970487_<80> × 3958859429037736877470306072068655902413162916380964479057367144710444905514865617548944617905483_<97>

452:

\[{4^{452}-1\over3}\]

5 × 17 × 227 × 3391 × 9041 × 23279 × 48817 × 58309 × 65993 × 1868569 × 2362153 × 636190001 × 30500013280577_<14> × 1066818132868207_<16> × 491003369344660409_<18> × 15079116213901326178369_<23> × 10384593717069655112945804582584321_<35> × 2480804957198250028708057046134715162580217174841698341177678467976358037638627697229748833079974029669969423384495713_<118>

453:

\[{4^{453}-1\over3}\]

3 × 7 × 907 × 18121 × 55871 × 165799 × 2332951 × 70089067 × 790468905817_<12> × 18717738334417_<14> × 5667228215161742851_<19> × 1302216832385373385027_<22> × 7289088383388253664437433_<25> × 50834050824100779677306460621499_<32> × 5789297444343221862596731102919959957963_<40> × 1472569697984933610350093844623116623743774608299938377008397129155903438335887_<79>

454:

\[{4^{454}-1\over3}\]

5 × 5449 × 297371 × 83132849 × 694512857 × 5661492593_<10> × 26986333437777017_<17> × 3454631579714210387_<19> × 4565795412500725128240734773_<28> × 121090008650245240545321284919376582913_<39> × 9447623200404223747744805461919020208953_<40> × 69982170658265444713117545258712031103399659_<44> × 7992177738205979626491506950867720953545660121688631_<52>

455:

\[{4^{455}-1\over3}\]

11 × 31 × 43 × 71 × 127 × 131 × 281 × 911 × 2731 × 8191 × 86171 × 122921 × 131041 × 200201 × 224771 × 409891 × 1210483 × 7623851 × 112901153 × 1185685411 × 23140471537_<11> × 25829691707_<11> × 39537592800161_<14> × 145295143558111_<15> × 171525190684121_<15> × 327061478509556968075523586322717436918466721_<45> × 4774797453608343803270988984332214098351782527747577456028391624903856636676854631_<82>

456:

\[{4^{456}-1\over3}\]

3 × 5 × 7 × 13 × 17 × 97 × 229 × 241 × 257 × 457 × 571 × 673 × 1217 × 27361 × 32377 × 90289 × 131101 × 148961 × 160969 × 174763 × 524287 × 525313 × 1212847 × 160465489 × 9036489073_<10> × 275415303169_<12> × 24517014940753_<14> × 69394460463940481_<17> × 1459574594862075553_<19> × 11699557817717358904481_<23> × 320507768196690588004609_<24> × 29034057164920993379000074993_<29> × 1067252124073670544578597216793724332593915233_<46>

457:

\[{4^{457}-1\over3}\]

150327409 × 6885357560205319573060633896800918448254904729193_<49> × 18016078496304630901695171021337431026910172081072177047327272213360916760459792809305587_<89> × 2475539419689929784935319344449409898291165097323714578650943035813830300993611462717419801770460539016610145009605554380104535919_<130>

458:

\[{4^{458}-1\over3}\]

5 × 2749 × 1504073 × 5523481 × 18754643 × 20492753 × 602633653 × 33074236421_<11> × 84948746297_<11> × 6211454306149_<13> × 59833457464970183_<17> × 44185520789894155033573_<23> × 979593335915791354913977669_<27> × 21535805979875847804128272826013997_<35> × 467795120187583723534280000348743236593_<39> × 15333417141003794339164342447265426158851946182451963484372297_<62>

459:

\[{4^{459}-1\over3}\]

3³ × 7 × 19 × 73 × 103 × 307 × 919 × 2143 × 2857 × 3673 × 6529 × 11119 × 43691 × 87211 × 98227 × 123931 × 131071 × 262657 × 26159806891_<11> × 27439122228481_<14> × 33204917536003441_<17> × 407770693450231393_<18> × 572404735191016891_<18> × 24418671951944649151_<20> × 75582488424179347083438319_<26> × 72665575884323021522460727660186327381229881_<44> × 49848448234572624009465371493197779785120970152607_<50>

460:

\[{4^{460}-1\over3}\]

5² × 11 × 17 × 31 × 41 × 47 × 277 × 461 × 691 × 1013 × 1657 × 5981 × 14951 × 30269 × 61681 × 178481 × 2796203 × 4036961 × 15096281 × 1021622741 × 1884103651 × 7834788541_<10> × 345767385170491_<15> × 2646507710984041_<16> × 359006912765190408181_<21> × 291280009243618888211558641_<27> × 254697295909573204954870539927521_<33> × 38270370273627701558694122020168438884826027965104715922556374000428385841_<74>

461:

\[{4^{461}-1\over3}\]

2767 × 99577 × 110641 × 4776428166707_<13> × 108902775905377_<15> × 358228856441770927_<18> × 7099353734763245383_<19> × 1017228587161022218598932642491638987_<37> × 340463734626779075359487007554818745945247112614613829537926067651_<66> × 846134609236527432935428641453947808692744612842997575850108349114305165850593069285923876628410633_<99>

462:

\[{4^{462}-1\over3}\]

3 × 5 × 7² × 13 × 23 × 29 × 43 × 67 × 89 × 113 × 127 × 337 × 397 × 463 × 617 × 683 × 1429 × 2113 × 5419 × 8317 × 14323 × 14449 × 20857 × 78233 × 312709 × 599479 × 4327489 × 869467061 × 3019242689 × 35532364099_<11> × 76096559910757_<14> × 581283643249112959_<18> × 70180796165277040349245703851057_<32> × 4982397651178256151338302204762057_<34> × 365212445341097287826412838353955921_<36> × 3931002956111648245378728475226109181_<37>

463:

\[{4^{463}-1\over3}\]

11113 × 3407681 × 448747600991881_<15> × 2356759188941953_<16> × 76834966209858049526107_<23> × 239932071009857681156251129_<27> × 385606580062688087218266143_<27> × 88119307925269041107418404833666787_<35> × 15148264043785111348665069495360623752616947973471649653354617_<62> × 497532604551403800659718805165333685595913106186792454026995210139_<66>

464:

\[{4^{464}-1\over3}\]

5 × 17 × 59 × 233 × 257 × 929 × 1103 × 2089 × 5569 × 8353 × 59393 × 65537 × 3033169 × 39594977 × 107367629 × 536903681 × 748264961 × 2245984577 × 239686663718401_<15> × 15929619591127520827829953_<26> × 82280195167144119832390568177_<29> × 6033312171721035031651315652130497_<34> × 18774318450142955120650303957350521748903233_<44> × 15694604006012505869851221169365594050637743819041_<50>

465:

\[{4^{465}-1\over3}\]

3 × 7 × 11 × 31² × 151 × 311 × 331 × 2791 × 11161 × 11471 × 26041 × 73471 × 103231 × 316201 × 364831561 × 529510939 × 715827883 × 2147483647 × 2903110321 × 4649919401_<10> × 18158209813151_<14> × 5947603221397891_<16> × 29126056043168521_<17> × 658812288653553079_<18> × 454880828193476858296067961247991575807852441367281771_<54> × 10396616065733554034660553056477704365402928208212077833242118911_<65>

466:

\[{4^{466}-1\over3}\]

5 × 467 × 1399 × 27961 × 30757 × 135607 × 622577 × 3108221 × 15576974348063186977_<20> × 25336594975374725568037_<23> × 1137139284834559382500297_<25> × 116868129879077600270344856324766260085066532853492178431_<57> × 352369374013660139472574531568890678155040563007620742839120913_<63> × 888192486543339587170250231534633545752101759653207234833104273_<63>

467:

\[{4^{467}-1\over3}\]

33702457 × 121606801 × 48919673417_<11> × 9516375589637513_<16> × 133116327626495251_<18> × 759355003952701949854003_<24> × 27312390961824038384529619828691_<32> × 2932473701943181625152024650584953_<34> × 1148984537885906196977362003686090739460725564747973734847_<58> × 2727318928892040009397199815225412029789790574177544409019502626344207905841_<76>

468:

\[{4^{468}-1\over3}\]

3² × 5 × 7 × 13² × 17 × 19 × 37 × 53 × 73 × 79 × 109 × 157 × 241 × 313 × 433 × 937 × 1249 × 1613 × 1873 × 2731 × 3121 × 6553 × 7489 × 8191 × 21061 × 21841 × 38737 × 86113 × 121369 × 348661 × 858001 × 22366891 × 308761441 × 7830118297_<10> × 1112388285061_<13> × 6440452782193_<13> × 370244405487013669_<18> × 623293182848475361_<18> × 5302306226370307681801_<22> × 84159375948762099254554456081_<29> × 66160413724915364725540228212461512514283877255084129_<53>

469:

\[{4^{469}-1\over3}\]

43 × 127 × 7327657 × 193707721 × 408335956841_<12> × 761838257287_<12> × 6713103182899_<13> × 70321958644800017_<17> × 1839633098314450447_<19> × 362312427317443674457_<21> × 76207764956885795275897986139_<29> × 21305401445202124537563847733843096783112730151372946821753_<59> × 628683935022908831926019116410056880219316806841500141982334538232031397827230330241_<84>

470:

\[{4^{470}-1\over3}\]

5² × 11 × 31 × 41 × 283 × 941 × 2351 × 3761 × 4513 × 13264529 × 894434441 × 2391314881 × 7484047069_<10> × 72296287361_<11> × 87255998201_<11> × 165768537521_<12> × 328006342451_<12> × 3357909154141_<13> × 38425816980821_<14> × 140737471578113_<15> × 3237811125343321_<16> × 461797907949997211_<18> × 722501809616926841_<18> × 235457374510092115086834691_<27> × 33869483802755570065477644041_<29> × 73202300395158005845473537146974751_<35>

471:

\[{4^{471}-1\over3}\]

3 × 7 × 15073 × 290137 × 2350291 × 852133201 × 60726444167_<11> × 1654058017289_<13> × 2134387368610417_<16> × 17751783757817897_<17> × 31255173993464476009_<20> × 96833299198971305921_<20> × 117791760059111382841_<21> × 207080154684218888000497_<24> × 50294321643757943005617331_<26> × 4767828205180602862488887736985607398666751166000769605012698283856806259916006281652253453751_<94>

472:

\[{4^{472}-1\over3}\]

5 × 17 × 257 × 1181 × 1889 × 2833 × 3541 × 11329 × 37171 × 84961 × 157649 × 174877 × 179951 × 5521693 × 765373489 × 1824726041 × 104399276341_<12> × 3203431780337_<13> × 25342605037666235678081_<23> × 4667813439458532797392797231517680422795032583489_<49> × 1872291970855130338581402920066957633405194531207487931491005489894425834163480404545369495166430812046758483848544641_<118>

473:

\[{4^{473}-1\over3}\]

23 × 89 × 431 × 683 × 947 × 9719 × 2099863 × 8116681 × 12853303 × 2932031007403_<13> × 133139883512681_<15> × 4304613491867393_<16> × 4193551379485561391_<19> × 1703616691469833244854254847_<28> × 2319326790833455848494271717419_<31> × 110790754439643451011977643288649104711084253377796092209089_<60> × 52899658439525417701948935772779561657007926055578786642264995029713851_<71>

474:

\[{4^{474}-1\over3}\]

3 × 5 × 7 × 13 × 317 × 1423 × 2687 × 49297 × 151681 × 647011 × 13664473 × 202029703 × 1113491139767_<13> × 18890331057055511701_<20> × 23728823512345609279_<20> × 31357373417090093431_<20> × 381364611866507317969_<21> × 201487636602438195784363_<24> × 604462909806215075725313_<24> × 1487840558911519281039078769_<28> × 13775694692898492184744709216599873_<35> × 2408840984250243046611173150925486103064449_<43>

475:

\[{4^{475}-1\over3}\]

11 × 31 × 191 × 251 × 601 × 1801 × 2281 × 4051 × 4751 × 174763 × 524287 × 18020551 × 420778751 × 30327152671_<11> × 3011347479614249131_<19> × 1369738735713888876695951_<25> × 113709467433878120743807151_<27> × 3145393391123750039342489201_<28> × 23352531315412606928823082635851_<32> × 170617159758027087771086981194610206694353113401_<48> × 32972619777851117988625390165531124382269394491251_<50>

476:

\[{4^{476}-1\over3}\]

5 × 17² × 29 × 43 × 113 × 127 × 137 × 239 × 953 × 2381 × 9521 × 20231 × 26317 × 42841 × 43691 × 131071 × 354689 × 823481 × 15790321 × 94994369 × 823679683 × 62983048367_<11> × 131105292137_<12> × 1580019259393_<13> × 2879347902817_<13> × 536296539263941_<15> × 115846651946400929_<18> × 143162553165560959297_<21> × 18292898984156916156396101_<26> × 2488196881582734135904733409191377_<34> × 967651113494068011489137268940159136059745761_<45>

477:

\[{4^{477}-1\over3}\]

3² × 7 × 19 × 73 × 107 × 6043 × 6361 × 6679 × 69431 × 94447 × 4879711 × 13960201 × 20394401 × 242003089 × 540701761 × 229890275929_<12> × 28059810762433_<14> × 4475130366518102084427698737_<28> × 65586217086670450494078662927314573302495970658410743708933357885437868217_<74> × 9368364192635570536820270641094526818432914571726884941545525447306194544364947298173904481801_<94>

478:

\[{4^{478}-1\over3}\]

5 × 479 × 1913 × 5737 × 176383 × 340337 × 134000609 × 77852679293_<11> × 32605142983704221670173899_<26> × 26537037220992112785174856161239437662001_<41> × 7110008717824458123105014279253754096863768062879_<49> × 2269474963255693085711432948387582114817557263546457947501201_<61> × 883423532389192164791648750371459256584513952652893606156996040365965313_<72>

479:

\[{4^{479}-1\over3}\]

3833 × 38321 × 33385343 × 6293443049_<10> × 7241702191810014332930493433_<28> × 54657255048286677488033160851148008819_<38> × 683481445118041278287416124073722711169070307627777892361_<57> × 8949165452964212284287352856184599901847368613984178988013861910189833_<70> × 10869186607773319558730501484452015470992764113369214593828236615596881_<71>

480:

\[{4^{480}-1\over3}\]

3 × 5² × 7 × 11 × 13 × 17 × 31 × 41 × 61 × 97 × 151 × 193 × 241 × 257 × 331 × 641 × 673 × 1321 × 23041 × 26881 × 61681 × 65537 × 414721 × 3602561 × 4855681 × 6700417 × 22253377 × 394783681 × 610548481 × 4278255361 × 4562284561_<10> × 46908728641_<11> × 137603804161_<12> × 44479210368001_<14> × 18446744069414584321_<20> × 94455684953484563055991838558081_<32> × 14768784307009061644318236958041601_<35> × 10559241583796365631935764162530238561452234881_<47>

481:

\[{4^{481}-1\over3}\]

223 × 1777 × 2731 × 8191 × 25781083 × 616318177 × 1484463163 × 138724733805016586033_<21> × 5800976318060644948970424014255729_<34> × 116082946165734700021832375583736205537_<39> × 6891696701907972189990423390011944079746042979076780671011284119842734575263_<76> × 96529160172936296910493238203560466707174118419318720105724235309272572481324977401_<83>

482:

\[{4^{482}-1\over3}\]

5 × 2411 × 2640397 × 15594629 × 22000409 × 10411181203_<11> × 76119208744309_<14> × 15059828108442641_<17> × 3115949925222900514664736941746248477210667_<43> × 225486428396474227112409054380791819318562873_<45> × 160619474372352289412737508720216839225805656328990879953332340439_<66> × 3533694129556768659166595001485837028996511802181406170435598282024550401_<73>

483:

\[{4^{483}-1\over3}\]

3 × 7² × 43 × 47 × 127 × 139 × 337 × 967 × 1289 × 5419 × 178481 × 2796203 × 3188767 × 18423553 × 172384633 × 45076044553_<11> × 168749965921_<12> × 10052678938039_<14> × 14808607715315782481_<20> × 1186694555374004016103_<22> × 245641050541016665188014626987_<30> × 8103467492759792327149800361564410265219_<40> × 14122560700459482493165563202458351462799_<41> × 91213423835914289025597837774887518459245610297993_<50>

484:

\[{4^{484}-1\over3}\]

5 × 17 × 23 × 89 × 353 × 397 × 683 × 727 × 2113 × 3389 × 91961 × 117371 × 209089 × 33186913 × 1251287137 × 2931542417 × 4036962584010807014809213_<25> × 11054184582797800455736061107_<29> × 1786393878363164227858270210279_<31> × 1339272539833668386958920468400193_<34> × 38608979869428210686559330362638245355335498797441_<50> × 8469440919770574005769693908434732506225873994236085602665729_<61>

485:

\[{4^{485}-1\over3}\]

11 × 31 × 971 × 1553 × 11447 × 31817 × 10084875238121_<14> × 1100876018364883721_<19> × 13842607235828485645766393_<26> × 34224064338126003049783351_<26> × 6424414731245950286450458211761_<31> × 9171512050413471978823535677986962353938006401_<46> × 11238344415062964442147243324272630868644399851_<47> × 5099684339280531431303325210885366883096347229374376914106957559915561_<70>

486:

\[{4^{486}-1\over3}\]

3⁵ × 5 × 7 × 13 × 19 × 37 × 73 × 109 × 163 × 487 × 1459 × 2593 × 2917 × 4861 × 71119 × 87211 × 135433 × 139483 × 246241 × 262657 × 279073 × 3618757 × 97685839 × 106979941 × 168410989 × 272010961 × 4977454861_<10> × 3333950193493_<13> × 16753783618801_<14> × 26129603777437_<14> × 192971705688577_<15> × 3712990163251158343_<19> × 10429407431911334611_<20> × 918125051602568899753_<21> × 15778453094691989880197773477_<29> × 1753477469677913202190537606674204157_<37>

487:

\[{4^{487}-1\over3}\]

4871 × 227020551154913939039124941009_<30> × 586707256835938183351163074135744551682040291061952064486697351139689683584197041592347032684987014285885660198730427_<117> × 82033219963138371097689272308258116841679442057301643873942124991182012434598644913857356023840478815121709542915222280972560231358838127531337_<143>

488:

\[{4^{488}-1\over3}\]

5 × 17 × 257 × 733 × 977 × 1709 × 3456749 × 37831175201_<11> × 368140581013_<12> × 667055378149_<12> × 768614336404564651_<18> × 2305843009213693951_<19> × 4889940029309876547089_<22> × 9200725871078697500072796227876997617_<37> × 1035817877926014488587133818491976759389034764353_<49> × 3002073757428777382273857922385512797763792723266417656025021527116989779952950182556537541850817_<97>

489:

\[{4^{489}-1\over3}\]

3 × 7 × 150287 × 704161 × 836191 × 2840113 × 110211473 × 355307401 × 11281292593_<11> × 27669118297_<11> × 116539854237679_<15> × 1023398150341859_<16> × 36230454570129675721_<20> × 619079222361672204943_<21> × 337570547050390415041769_<24> × 911066556314339913468351173796888655666135594657_<48> × 16044334656043409220370385403075081324178895866797563484682008037153971569828297317432126363_<92>

490:

\[{4^{490}-1\over3}\]

5² × 11 × 29 × 31 × 41 × 43 × 71 × 113 × 127 × 197 × 281 × 491 × 1471 × 86171 × 122921 × 7416361 × 47392381 × 7439220181_<10> × 19707683773_<11> × 4363953127297_<13> × 4432676798593_<13> × 4981857697937_<13> × 306178659371201_<15> × 1372226516822701_<16> × 15162868758218274451_<20> × 1008787906424294727221_<22> × 50647282035796125885000330641_<29> × 44399394252774652151567131602624448846381_<41> × 252359902034571016856214298851708529738525821631_<48>

491:

\[{4^{491}-1\over3}\]

983 × 7707719 × 110097436327057_<15> × 6976447052525718623_<19> × 15395951896033322050978817_<26> × 19970905118623195851890562673_<29> × 3717542676439779473786876643915388439_<37> × 3563269486977651154759062020950904488457_<40> × 14797326616665978116353515926860025681383_<41> × 38846455826537709934355663465881986298076977394967343397200701472257630261327321107_<83>

492:

\[{4^{492}-1\over3}\]

3 × 5 × 7 × 13 × 17 × 83 × 241 × 739 × 2953 × 10169 × 13121 × 13367 × 165313 × 181549 × 3887047 × 12112549 × 43249589 × 62966161 × 164511353 × 802333429 × 8562191377_<10> × 8831418697_<10> × 6027043735173469_<16> × 13194317913029593_<17> × 177722253954175633_<18> × 125965976976392564317_<21> × 12243864122465612155106392056552353_<35> × 36034153124236158775665988887328808295354925107894665253667088041792025629199746059239041_<89>

493:

\[{4^{493}-1\over3}\]

59 × 233 × 1103 × 2089 × 4931 × 43691 × 131071 × 244529 × 3033169 × 3616649 × 10353001 × 408071156372794293927147176542113833_<36> × 2215770261497265379833107511085365192789406654906026048465503447237245674887475208872166313_<91> × 9705965830054591736524329221017810064201521004178349356202268282852670198911141357299732185324536769414538999508070197039_<121>

494:

\[{4^{494}-1\over3}\]

5 × 53 × 157 × 229 × 457 × 1613 × 2731 × 8191 × 15809 × 104729 × 174763 × 207481 × 515737 × 524287 × 525313 × 2638949 × 10049443 × 355011619 × 6459570124697_<13> × 402004106269663_<15> × 531455155350809_<15> × 1282816117617265060453496956212169_<34> × 1824266557538578174916103390028454586929_<40> × 213379941663827592701819558102368170760508803_<45> × 100319871877063413185018007465640733935158188658416446422313_<60>

495:

\[{4^{495}-1\over3}\]

3² × 7 × 11² × 19 × 23 × 31 × 67 × 73 × 89 × 151 × 199 × 331 × 631 × 683 × 881 × 991 × 2971 × 3191 × 5347 × 20857 × 23311 × 153649 × 201961 × 599479 × 18837001 × 48912491 × 415365721 × 33057806959_<11> × 242099935645987_<15> × 2252127523412251_<16> × 2048568835297380486760231_<25> × 334202934764737951438594746151_<30> × 6084777159537635796550536863741698483921_<40> × 1573646189656401207486767880720222624035301340663285632613380740307779641_<73>

496:

\[{4^{496}-1\over3}\]

5 × 17 × 257 × 5581 × 5953 × 8681 × 8929 × 49477 × 65537 × 251969 × 290657 × 384773 × 715827883 × 2147483647 × 3770202641 × 1141629180401976895873_<22> × 19301855478655894221313_<23> × 32206359010364528536290817_<26> × 15624307475317816130204755452289007981717441_<44> × 214272694389796220531917097586652873821573313_<45> × 197107422273014301919781414466039325387889623676342705850752210599969_<69>

497:

\[{4^{497}-1\over3}\]

43 × 127 × 6959 × 228479 × 48544121 × 56409643 × 212885833 × 145915152433_<12> × 254461617383_<12> × 13952598148481_<14> × 5213526568247671787_<19> × 8705752060803157813200086999866476019_<37> × 608515182984165249341377295189029256213261956947549818345411_<60> × 770557961761093801278718793937377574043943382342011514028393021874470913652376022233958616983382625535943227047_<111>

498:

\[{4^{498}-1\over3}\]

3 × 5 × 7 × 13 × 167 × 499 × 997 × 1163 × 1993 × 2657 × 136453 × 155377 × 13063537 × 218166829 × 1621324657 × 13455809771_<11> × 41732461753_<11> × 46202197673_<11> × 209957719973_<12> × 9202419446683_<13> × 148067197374074653_<18> × 80485166514184335373_<20> × 57912614113275649087721_<23> × 5791487405427228378717709_<25> × 583117579691967491546961181_<27> × 3388098290567587377052016525627948593_<37> × 8241594690167137359552274418432855740327_<40>

499:

\[{4^{499}-1\over3}\]

20959 × 163673 × 825347 × 61176403 × 1192425792950157874662150001_<28> × 1998447222711143545931606352264121_<34> × 1575585587524885013687391114684244158499565933913187_<52> × 35137888682991172687207804802805853896809097192922393_<53> × 39075504626391841678304934944805852280404731716385642050296152320994438836806257083337312828162589099799400566633_<113>

Base 4 Repunits

Table