- Factorisations are given from smallest to largest factor, with a period '.' separating factors.
- Multiplicity of factors is indicated with the carat '^' in ascii tradition for the text version of the tables but not the HTML version.
- The backslash '\' is used to indicate continuation of a line, the decimal digit representation of the number does not stop but continues on the next line as if no break had occured. This can sometimes make for bad breaks, but such is life.
- Composite exponents are in black. C±(b,n) is almost always composite for composite exponent. The rare exceptions are the Generalised Fermat primes C+(b,n) with b even and n a power of 2.
- Prime exponents are coloured orange. C±(b,n) is usually composite in this case too.
- C±(b,n) primes are coloured green. Ignoring n=1 cases, they can only occur for n prime in C−(2,n) (Mersenne primes) and the Generalised Fermat primes.
- Unfactored composites are coloured red. No factors for these composites is known.
- Hyperlinked numbers occur in previous exponents in the same or related table.
- #Fac is the number of (non distinct) prime factors in the expression.
- A plussed #Fac means that more prime factors exist but they are unknown due to a unfactored composite in the expression.
n #Fac Factorisation 1 1 7 [1st Prime] 2 1 37 [2nd Prime] 3 2 7.31 4 1 1297 [3rd Prime] 5 3 7.11.101 6 3 13.37.97 7 4 7.7.29.197 8 2 17.98801 9 3 7.31.46441 10 3 37.241.6781 11 2 7.51828151 12 2 1297.1678321 13 4 7.53.937.37571 14 3 37.421.5030761 15 5 7.11.31.101.1950271 16 3 353.1697.4709377 17 3 7.190537.12690943 18 6 13.37.73.97.541.55117 19 3 7.1787.48713705333 20 3 41.1297.68754507401 21 6 7.7.29.31.197.2527867231 22 4 37.58477.70489.863017 23 3 7.113958101.990000731 24 4 17.5953.98801.473896897 25 4 7.11.101.3655688315536801 26 4 37.313.2341.6291946695217 27 5 7.31.46441.114967.883383463 28 5 281.337.617.1297.81035189089 29 4 7.59.32713.2727192763388813 30 9 13.37.61.97.181.241.3541.6781.74161 31 2 7.189491931189200021056951 32 3 2753.145601.19854979505843329 33 6 7.31.463.72073.51828151.127236649 34 3 37.934117.8289713345361373993 35 11 7.7.11.29.101.197.631.701.2311.9241.585131 36 5 577.1297.3313.1678321.2478750186961 37 4 7.3923.1096762734443.2054788991719 38 3 37.1030762781149.9736145643041809 39 9 7.31.53.79.937.9049.37571.868999.8857759 40 5 17.17761.98801.3696985841.121206120881 41 4 7.83.28537.4837453663777044375040181 42 7 13.37.97.421.5030761.804146449.6055984789 43 2 7.412482688627178079807598675848631 44 3 89.1297.150080764792922988676714149209 45 7 7.11.31.101.46441.1950271.4760317816590150361 46 5 37.6073.2259889.9564781.128407494947883673 47 2 7.534577564460822791430647883899825591 48 7 193.353.1697.8641.4709377.688490113.6931400449 49 7 7.7.7.29.197.762332681442053.90179616936384011 50 6 37.241.6781.343801.22243201.1748016735462726601 51 8 7.31.103.919.190537.12690943.980146969.99617785207 52 4 1297.192193.14090441.8284434950526240125727017 53 5 7.107.97351567.33685364386033.71080464397105403 54 10 13.37.73.97.109.541.55117.591841.171467713.932461936453 55 8 7.11.11.101.1031141.51828151.16336066781.84155540944421 56 6 17.113.4817.98801.4048129.10189440239012883075423169 57 7 7.31.457.1787.137713.48713705333.190324492938225748951 58 3 37.349.105134528469779071670501631159328247729809 59 2 7.1163658999540220416412446482708919139658591671 60 6 41.1297.13441.1678321.68754507401.592575109627400042641 61 3 7.9151.4577830180684945360162613198286645069141001 62 2 37.47552767764994953232854569779888803761183529901 63 10 7.7.29.31.127.197.46441.2527867231.154260982009.528921402377887 64 3 4926056449.447183309836853377.28753787197056661026689 65 8 7.11.53.101.131.937.37571.199930782298483523040584108028862541 66 11 13.37.97.3037.58477.70489.96493.622513.863017.4629769.16266405013 67 5 7.269.418349.90571543952974835963.191757760647639121941197 68 5 137.1297.5849.1536052010629489.51420576374811381403609445473 69 6 7.31.113958101.990000731.24648570768391.816214079084081564521 70 7 37.241.421.6781.5030761.13509594555661.1708114263204222806519161 71 4 7.37489.11735704315681.5757417485448059422914748320317168839 72 5 17.5953.98801.473896897.22452257707354557235348829785471057921 73 6 7.293.439.120855443.1389436303.4221883459378030470824476438562257 74 5 37.37.4441.3300043400835529.190892407618022993841069346975403017 75 10 7.11.31.101.151.168151.1950271.573178201.918628247364601.3655688315536801 76 5 1297.4561.355518408146401.5028187486478069273.13038313680704041577 77 6 7.7.29.197.51828151.57019087134151254061666621717728669167279862151 78 11 13.13.37.97.157.313.2341.8893.6291946695217.197743936282933.6429178169720749 79 6 7.317.5531.2832941.99687312908749681.8592319153827988586815914947213 80 6 353.1697.9601.4709377.2810800069601.2347110840158563816028186318246561 81 8 7.31.1783.46441.114967.149862151.883383463.3920344350409644507093715799617 82 4 37.4046701.174521133001.246179376206361788466441901958293949537091001 83 5 7.710813.6547890917.21608536062644851877771.54824363564629401758409941 84 8 281.337.617.1297.1678321.81035189089.1176362433121.19100900655540830489319601 85 8 7.11.101.190537.12690943.1383638161.72085651321561.740797672014674927371043791 86 5 37.1033.6501601.2914764989376043020733.11510167124054813592781820845997449 87 11 7.31.59.32713.68209.92569.1439329.380675809.519258631.24378360481.2727192763388813 88 4 17.98801.9307950433.19197545705142827447183881455518760379441910619182497 89 3 7.179.1437176850540020021056024701236917910178773041847685459251313907949 90 16 13.37.61.73.97.181.241.541.3541.6781.9001.55117.74161.211501.2106930961.5597780112726834061 91 12 7.7.29.53.197.937.2003.2549.36947.37571.52769627.12468702878009806771287543538567443817 92 4 1297.14537.433176829049.47625006826357122080464279208098880721125912766130417 93 5 7.31.31.189491931189200021056951.1830855782835393620827906093040965051783187521 94 5 37.1693.1029538544148223697293.30585762365533687252981.7098996031830910703530849 95 10 7.11.101.1787.6271.2666738161.37260330001.48713705333.61671024221.3229504809106404383981 96 4 2753.145601.19854979505843329.63340286662973277706162278988150776663495577436161 97 4 7.7449708398813963.6571212276076854019883.8826499007361715764052964663075774479 98 5 37.421.5030761.288628033.802354924671793395266725600744864562917483072464133108417 99 10 7.31.199.463.46441.72073.110881.51828151.127236649.2225208714917658550195227627861513418879 100 8 41.1297.4801.5801.224401.68754507401.1006795824867486182291801.28398752673271140825020401 101 5 7.607.82013.3866281.2909467055506170519577044616632832452708657352232253233553601781 102 8 13.37.97.934117.1785001.8289713345361373993.12346985995648844989.2953728137900959095135649 103 4 7.7211.135025379.20704743230318258100890022657208522727453596408722228548650415542999 104 5 17.98801.36265841.141365953.98327998682892050307547688538841853424435944546993755800017 105 16 7.7.11.29.31.101.197.631.701.2311.9241.71191.585131.1950271.2527867231.271613602977153099649378586566681 106 4 37.26713.175436926004647658810244613736479118917.175787157418305877173455355755546870641 107 2 7.26126771741159407024154726661022582007126551676422442131468770568230221685230103991 108 9 433.577.1297.3313.1678321.115963921.2478750186961.8781208996949976153601.241282001155985351966017 109 3 7.9661979.97346908193625617781778470000484678372469642125201050088483502236579895347349 110 8 37.241.6781.58477.70489.863017.423852369601.433295951605870884187046138704268693683498331456101 111 9 7.31.223.3923.7993.142969.1096762734443.2054788991719.484813024945269068265878512515024013260506641 112 5 353.1697.4709377.490972383553.1026745888453552697436968844848917190436254094111712318750754497 113 6 7.227.8363.586471.5043448999988542328333.217085653849206214541602569383859982900289160186960917 114 11 13.37.97.229.25309.43321.2197693.1030762781149.300537265358917.9736145643041809.659334264781883756771821 115 7 7.11.101.113958101.990000731.23126990778420152651.15138465280223101464931287568892526939099241284821 116 7 233.1297.250793.4916777.6198809.9008169903032260803977.88574437255173019150535038179441097901397209 117 12 7.31.53.79.937.1873.9049.37571.46441.868999.8857759.57063471642936858295625494275761490859413610922514697 118 3 37.554971222573.3231285690411251549937535803579175660890272281294966380800039383396486737158017 119 9 7.7.29.197.190537.12690943.22885730141.2681104713967.9584881019626035133999258735515025036249902934797053 120 11 17.5953.17761.55201.98801.122401.21027841.473896897.3696985841.121206120881.4458139843615061052376640769667\ 21 121 5 7.727.51828151.15186641018595718629290023681.3578008788069105048042400002837961114116977849537973223 122 5 37.60757.348433.558416270857.196597122477434001699939656151715927005493674652801355438654544438291553 123 8 7.31.83.1231.28537.4837453663777044375040181.268313928259442786323996685119.628260227263749127899296330959 124 5 1297.106179166897.1062529732255153.505430595651453051641.41857485802028381142383903037144206683835077721 125 9 7.11.101.251.751.5501.3655688315536801.2694730860384999001.233805293126289020639202084597666844981225400241\ 001 126 15 13.37.73.97.421.541.1009.17389.55117.5030761.10339309.804146449.6055984789.48129311534221.12185192600132570\ 384611238029 127 5 7.509.2287.6557252639250807127523.12514251972598061031154549270275982573061110378811783176435900357554799 128 7 257.763649.50307329.3191106049.2339340566463317436161.2983028405608735541756929.182477700970213219240171852\ 81 129 5 7.31.2322118361887.412482688627178079807598675848631.115814113322099366440280889676998813124941173548805953 130 10 37.241.313.2341.6781.425101.571140885901.6291946695217.1095110988527465328644161.19486136423472309637684929\ 35356381 131 7 7.118766959.5620905557.18059147791.1519139468453.137286124588876043259567675817.492370801281846683336965699\ 07047 132 9 89.1297.602977.1678321.87917281.1581003091009.332526664667473.6416538652864923578689.1500807647929229886767\ 14149209 133 10 7.7.29.197.1787.1050169.48713705333.27838508435875439051.6110613202111672866319.716622317368928663955050025\ 3057030611 134 3 37.4021.1258148065662933435127171073866560143872261293533825733911764685311660688307770984681658280416519961 135 12 7.11.31.101.271.46441.114967.1950271.883383463.2195738619437791.4760317816590150361.17878872997028128383097\ 2402140920212721 136 5 17.17.98801.2376897969771200667937073.992888154555208408072359969200446002102251441040253906228951529060955\ 38881 137 4 7.51480217.4582965162279152779295741463389.2448140495278291042529241912014354378530513227666594553134296023\ 8107 138 12 13.37.97.277.6073.2259889.9564781.12344559539431993.14030036355387001.23027140435639321.128407494947883673. 279219519230141641 139 3 7.478404033683.43464123950634007416896270274528229077877085950620143478550278600897682734201302908605111172\ 4237 140 9 41.281.337.617.1297.68754507401.81035189089.123099618068232205681.40982486632742791332750143162242392858449\ 31775661062561 141 5 7.31.1129.534577564460822791430647883899825591.400093872648315443061680477735172345044266448557214947007104\ 507237639 142 5 37.4485781.33571579633135513.969155837815909463425781176679854621.58220022739632174549950127401919425992936\ 844184277 143 8 7.53.937.2861.37571.3712567.51828151.2623642616266140731907940608862422310623338001684178975972736179031671\ 72733704458773 144 10 193.353.1697.8641.115777.4709377.31057921.688490113.6931400449.14019268835179638724593328298903017364203886\ 8198120943575131073 145 10 7.11.59.101.32713.168491.35969851301.2727192763388813.71188611917485018014870131.38450776123542785985187808\ 85281690026242583211 146 5 37.877.16658893.20007314401.3767439640217533991679971417792901973000703933565811241566664111171375550309696\ 7184005923301 147 12 7.7.7.29.31.197.32670457.1152319183.2527867231.762332681442053.90179616936384011.61514653542036838838300629\ 06173218740292621286631 148 4 1297.12950593.10742681826196124641.812910461537597351789277337708911744048426523234607657015392944064157118\ 19759159724497 149 4 7.17808481.3908095969.1806534126100647194097596047551632860649143589145163864525913101120410386931607948881\ 33552030773239 150 15 13.37.61.97.181.241.3541.6781.74161.343801.22243201.38149201.1748016735462726601.340800981614130538049401.1\ 3744019238016248925287701988601 151 4 7.1877258342367076264555657.57719839964417489988525624247.4177260955133929558960631779921813101873322007065\ 786779841904569 152 6 17.98801.417827633.505981859041.26836193435793601023998323852801.199492594262551677559234014856976616560844\ 8716213725436669937 153 13 7.31.103.919.46441.147799.190537.12690943.980146969.99617785207.29274753335383.1888411753890127.61981850959\ 910422285012731307171469066599 154 8 37.421.58477.70489.863017.5030761.40590776689.6048141008071456596259776949311257916837567558165203557375479\ 4818786652644638545909 155 6 7.11.101.189491931189200021056951.73925704213704945236169449354196288841.3769168199699790684839649519999144\ 5129214809531978987311 156 7 1297.192193.1678321.14090441.816213379522588431707233.8284434950526240125727017.618089408508629562797739046\ 557629942711588422796977 157 6 7.1571.53381.259993.32577356503.297308882243938865484453677008309867648571856224118520242496051040995144993\ 90913563956124405913479 158 3 37.10429.22985458387524760396049933956519941247062829865007890151235623482849657962098495040918310213730329\ 73033904327664158129 159 9 7.31.107.97351567.33685364386033.71080464397105403.79850963147627239.886629624220623485114684453959.1388827\ 9563077823030315573706460911 160 7 2753.82241.145601.19854979505843329.15954097282309262360999041.4903626466768570999224738379365121.623565458\ 885624857143366973953113921 161 9 7.7.29.197.231841.113958101.990000731.3091531661.8463428877114283334832841135980685094133787815940779201328\ 511354558563105269202500000131 162 13 13.37.73.97.109.541.55117.591841.171467713.932461936453.39661919912737.26411543817830547235357966561.104753\ 2535514129255363516988891792003940353 163 7 7.11411.1712959177.52108050586547.417317792492527332337.390331841336302929436994813.59385353538185533999095\ 22760027592696327594011870339 164 3 1297.90823862327833086800386352513067248343828857.351289460623725010305581894540945828444787270943557773540\ 836771459982767560667193 165 15 7.11.11.31.101.463.72073.1031141.1950271.51828151.127236649.16336066781.84155540944421.661982172984001.2324\ 70996817349914740909949038496736983636813951 166 9 37.997.778873.3020869.13852369.161184670755001.437801891817492814657.62492225855662442512009.28097049972396\ 2289858902531662958021839590057517 167 4 7.2339.24362285875922356868655021961427.2240848611344433471047519923958679743088526810022077124471576209605\ 7091569159815413649881516047 168 11 17.113.673.4817.5953.98801.4048129.473896897.10189440239012883075423169.3276974780364284482799810397121.228\ 576791406017659230547997507603024201377 169 8 7.53.937.4057.37571.116720070342348721.3378307227685242623713508116989468524398534111.154008740494680898484\ 89148387594553074912242007981896423 170 10 37.241.1021.6781.934117.8289713345361373993.372810476994982432801.2244807299700346905001.418196746744415875\ 29015061.115394656437025419824224817341 171 10 7.31.457.1787.46441.137713.48713705333.62174327387790051073.190324492938225748951.1773086345556501045721501\ 5481519172763685683806181388676488969177 172 7 1297.1721.1904729.5993513377.3449220534377.2400135849956129030979293221108376113.32947522230532454787172792\ 7490276948774179783794853789837408297 173 3 7.347.17168754933680641828885328290196243178419334128667815027099365404387446550489987693378776240078242722\ 7477447336436457634084029167573 174 9 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