- 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 3 2.2.3 2 2 2.61 3 5 2.2.3.3.37 4 2 2.7321 5 4 2.2.3.13421 6 4 2.13.61.1117 7 4 2.2.3.1623931 8 3 2.17.6304673 9 7 2.2.3.3.3.37.590077 10 3 2.61.212601841 11 7 2.2.3.23.89.199.58367 12 4 2.7321.10657.20113 13 6 2.2.3.53.911.59583967 14 5 2.29.61.1933.55527473 15 8 2.2.3.3.31.37.13421.7537711 16 3 2.51329.447600088289 17 6 2.2.3.71707.264793.2218331 18 5 2.13.61.1117.3138426605161 19 7 2.2.3.191.229.83791.1390636259 20 4 2.41.7321.1120648576818041 21 7 2.2.3.3.37.1623931.3421169496361 22 4 2.61.251857.2649263870814793 23 7 2.2.3.47.1013.241363.6493405343627 24 7 2.17.97.241.1777.6304673.1106131489 25 6 2.2.3.13421.46601.14436295738510501 26 3 2.61.9768997162071483134919121 27 10 2.2.3.3.3.3.37.379.590077.4889988840047743 28 6 2.113.449.2521.7321.77001139434480073 29 6 2.2.3.59.10979607179423.204064664440913 30 6 2.13.61.1117.212601841.46329453543600481 31 7 2.2.3.311.1303.10789.3658524738455131951223 32 4 2.193.257.21283620033217629539178799361 33 13 2.2.3.3.23.37.67.89.199.9439.58367.991651.1169382127 34 6 2.61.137.2481791513.9598959833.641625222857 35 11 2.2.3.71.71.7561.13421.17011.1623931.1649341.10047871 36 7 2.73.7321.10657.20113.40177.3358335487319458201 37 5 2.2.3.2691614274040036601.10527743181888260981 38 4 2.61.1990415149.15403468930064931175264655869 39 11 2.2.3.3.37.53.313.911.63649.59583967.538953023961943033 40 5 2.17.5281.6304673.399806412551699044818733915681 41 6 2.2.3.711628063.1216150172449.479378523680060338823 42 9 2.13.29.61.1117.1933.19069.55527473.520799717831587692709 43 5 2.2.3.5333.9413099125139413690486707432096974989067 44 6 2.353.7321.72689.13585441.1298256794387169996154165633 45 13 2.2.3.3.3.31.37.181.631.13421.590077.7537711.86306335830799838011 46 6 2.61.201757.2004414397.24737721275161.656943272596448809 47 7 2.2.3.844309.549524471.26097456317.60699948346804199382437 48 5 2.577.51329.447600088289.3659233404740477018363752843393 49 8 2.2.3.11467.800171.1623931.176784259.33761096386802842263303497 50 6 2.61.101.212601841.2248313994601.1993099906542710819727884501 51 11 2.2.3.3.37.103.71707.264793.1348033.2218331.16576413357576409067287639 52 3 2.7321.97010607829826070873559937268360584022789501553441 53 7 2.2.3.1697.5353637.17148893.8357265774463208206521728596439861293 54 9 2.13.61.109.541.1117.388174681.3138426605161.1350472353550875103121929 55 13 2.2.3.23.89.199.4951.13421.58367.411841.21537414911.85480219991.131525983711 56 7 2.17.337.394129.6304673.236352238647181441.3090443962383595123379137 57 12 2.2.3.3.37.191.229.6043.75013.83791.1390636259.74337838382167137728921322559 58 6 2.61.349.16585333.32637413.109181877624126996017801852385627698243261 59 7 2.2.3.22067.32833036072593109.59845177539010249.53199025841281128499153 60 8 2.41.7321.10657.20113.52020741601.1120648576818041.40589999671017742452961 61 6 2.2.3.53320740257.137218978667473446671.38147158686655703132426388314683 62 4 2.61.4311672901046383796549.70039146133823870629334170297294343364149 63 13 2.2.3.3.3.37.590077.1623931.3304981.468843103.71596275661.278853374647.3421169496361 64 3 2.316955440822738177.7032401262704707649518767703756385761576062060673 65 10 2.2.3.53.911.1301.13421.25741.59583967.3160327139569513638485230516120919120957201 66 8 2.13.61.1117.251857.9863099401.2649263870814793.46266666682081629547022793157801 67 9 2.2.3.269.181303.2354458793.2778466094669.76388592846687031.20288347913774902979279 68 7 2.409.7321.11969.739755736441.14387579997041.85554906358182623545481335980971521 69 14 2.2.3.3.37.47.691.1013.241363.394648951.18013255921.932225927887.1577386579003.6493405343627 70 8 2.29.61.1933.2970941.55527473.212601841.32925268156330499785365829732750601117816501 71 6 2.2.3.149852362577.5604196051154865381517.8620302099267300875307522246691084877239 72 10 2.17.97.241.1777.110161.331921.6304673.1106131489.2653299576575651630603169124592864247361 73 8 2.2.3.668243.147031637.51866303408957.9863258277206753.17427450503923264964680282877251 74 8 2.61.149.243595717.254246981.3275634569.5555901630889277.5643352212924479303509278380689 75 13 2.2.3.3.31.37.751.13421.46601.299401.7537711.14436295738510501.2012875525822725447651340174136551 76 6 2.457.7321.35613601.52215193.1124384093561211759006825448167193716190524720926622040561 77 12 2.2.3.23.89.199.58367.1623931.23577401.43037232701.160418704149053207551.2040583524866430994330651 78 12 2.13.13.61.1117.7177.26833.225889.21493057.11771471409361.683665316878909.9768997162071483134919121 79 7 2.2.3.7901.681676939.3238766178025207268898109882481893.88961197883605801425821968775222633 80 10 2.641.2081.4001.51329.232961.447600088289.295090738600481.1037593750081121.11710273559942897538241 81 14 2.2.3.3.3.3.3.37.163.379.590077.5705803.4889988840047743.61599809118365596724303287493080398613594222813 82 5 2.61.2789.57073.1276324589909496813251127403760180491964358075504668934093870861051689695133 83 6 2.2.3.325440677.47433880332031195178437273.1471807913921722283799977862411158403048843176734891 84 11 2.113.449.2521.7321.10657.20113.201407641.70107576001.77001139434480073.6871280144418624289685328789001 85 9 2.2.3.13421.34511.71707.264793.2218331.140915955794291381596090868811368536501646742211013295518273711 86 5 2.61.173.11862832433.1449361076647763556046480383311898979520917866579543803095034909526729197869 87 12 2.2.3.3.37.59.13399.7596493.1727522113.10979607179423.204064664440913.1289269224782205219032537855117489670\ 91 88 8 2.17.3169.269281.6304673.2224106369.1409524185566665684709841121.76570022386531005372870206494246296641 89 10 2.2.3.179.188606309.5089163291.75893828851.23510589261592841.371848407757843241773.353082502532286628861787 90 11 2.13.61.1117.9001.16921.22501.212601841.3138426605161.46329453543600481.28309390942693823829766228460785185\ 421 91 9 2.2.3.53.911.1623931.59583967.12343942084000822751.84451621887581647750880682185194110642059749383888588911 92 5 2.7321.34961.324599369.3868967792250098248450110086386343042895409814136698442863741267447980557520249 93 11 2.2.3.3.37.311.1303.10789.237843323473654847623.3658524738455131951223.139550866104193032581962716205911186\ 7514287 94 7 2.61.1693.6678701.181894150853.1823151514157.170044315788568839331192444262564794666488196032760463244957137 95 10 2.2.3.191.229.13421.83791.1390636259.125391374277955216479795494641.831364610304896938076192434596656578992\ 2617921 96 9 2.193.257.2689.850177.7746049.13928006777524033.21283620033217629539178799361.18074341630577348555429415775\ 408321 97 6 2.2.3.3881.200924352971689432250644561.11064530571690714453730400924822089371846415813484128967094900415848\ 041 98 8 2.29.61.197.1933.55527473.33976720793233.448061744850569765386528729635682996109461034777276693515627127364\ 615221 99 18 2.2.3.3.3.23.37.67.89.199.9439.58367.590077.991651.95885659.1169382127.166222146279939538766671.19118100293\ 995567795177984039909 100 9 2.41.401.7321.2254601.5931105001.69084589801.1120648576818041.552947563691215268017880199633798414702158479\ 175508601 101 7 2.2.3.20201.228104057.1732951869588220873.15819311422790435215889409528474122189791416412562996715979130823\ 153947141 102 11 2.13.61.137.1117.2481791513.9598959833.641625222857.382645993638157.563620766036953.20841161015828740030207\ 016250006151501 103 8 2.2.3.1237.51396929137.3842537250772226605747.128288938117946418355541.487698205182785810835005539128131683\ 672275286097 104 5 2.17.6304673.86759222313428390812218077095850708048977.1084881048536374706129613998429729484098346115257905\ 77216753 105 19 2.2.3.3.31.37.71.71.7561.13421.17011.1623931.1649341.7537711.10047871.275310421.137031343051.3421169496361. 2359101627084759668315785103671 106 7 2.61.410982353.23746234974173.22250800656016001.72744498860303958101.12667796019109754352066411884939323800\ 6955092974209 107 5 2.2.3.841021.2660904118831225069351374903323531548627122700620087587591802861308909203624886230993288676031\ 12602644211 108 10 2.73.433.7321.8209.10657.20113.40177.3358335487319458201.26884080018278857826967012292458876502681409920482\ 9048549907077238513 109 6 2.2.3.11119.14389.16924860328413141214365629650474864848331631667162621285647949533748464809147546574145776\ 6540635771648351 110 10 2.61.251857.1327481.212601841.36318547582241.110374378040081.2649263870814793.136371262802069831801.2846042\ 33173679136521738352001 111 10 2.2.3.3.37.37.223.2691614274040036601.10527743181888260981.126249345637608650029153686851973084319021976823\ 501721176605898316609411 112 8 2.10529.15233.51329.132833.447600088289.7782479531201887486913.56767692210863509237921611739434366077435616\ 458970709176918840577 113 5 2.2.3.909877.4357220014122675184259919179380668633668941449742142981468187554807931862519633084677616319104\ 58201865781422893 114 9 2.13.61.1117.1990415149.37820720459377.308673703543834165513.15403468930064931175264655869.8253119172808086\ 9985969416771354049347961 115 11 2.2.3.47.1013.2531.13421.241363.6493405343627.558956737278445325461.338588199387527746331211270897090075844\ 65813794083046310289193779151 116 7 2.233.7321.287681.60604269272032563100609.1502477990708696255525449.708553482774634872757217319786870088342\ 38471892366559611974577 117 14 2.2.3.3.3.37.53.313.911.63649.590077.59583967.538953023961943033.956311769100660490503396992656891206874453\ 285835048997148999317765990784561 118 6 2.61.1291321673.1013563312793953470363741024001073.64838817747578095323592827914385846481.74004240886932111\ 404174666525790714071569 119 14 2.2.3.71707.264793.1623931.2218331.110917283.124214819.69796946717.256644509902201.63063653308203311.209145\ 6376138057349.315440418833726113081631 120 14 2.17.97.241.1777.3121.5281.114001.6304673.1106131489.1698371041.12658046117876244394801.5828142647817387837\ 02162161.399806412551699044818733915681 121 14 2.2.3.23.89.199.727.58367.122453.2095721.103569468207767.1663628038071022183838437.156316328176791781343592\ 9194983.71132117849274411458479346616793 122 9 2.61.61.733.15373.19042493.615339081285269009.166945076296840267580084657135863728824204737.683822526820172\ 81321628552285946936349023283521 123 9 2.2.3.3.37.711628063.1216150172449.479378523680060338823.22329407744580303934513868394925085808679300359256\ 5432816290249576309086373241746401 124 8 2.1489.6449.7321.11161.5721113.92247817.1638950174786153691075952022215074731727187702580869943406736485973\ 251947792384699431022645116667161 125 10 2.2.3.251.13421.46601.559001.14436295738510501.30877424283969568616368678353563069501.318083501938831797291\ 23443891378924908549472843225872344251 126 14 2.13.29.61.1117.1933.2017.19069.21673.55527473.3138426605161.520799717831587692709.154021704779757520440774\ 8160801193.14192755503084386685349267103378497 127 7 2.2.3.509.2140352083.4402640625848258016840688846660358437130425243742595514279.313887145284264795998540992\ 87726722553699547881667856766300787 128 6 2.15361.111489577217.574341646346402207998363393.4018529583345312964042058778793458689.25138679918373623167\ 15332574077411130744618580176804609 129 9 2.2.3.3.37.1291.5333.9413099125139413690486707432096974989067.253233817806661680794126682548488134256292565\ 2085779577235728569623852917746014092331 130 6 2.61.521.212601841.9768997162071483134919121.18215223829103119871143009754672266047822632092109688566278477\ 058449896401786143420694541075159161 131 6 2.2.3.9858799.119235724375228558113076040277225949839796708740043.18751244767116478769561770254758588183459\ 21167310635558927494336192342549513443 132 11 2.353.7321.10657.20113.72689.13585441.57563039928769.504278350263601.1298256794387169996154165633.705716757\ 4674010261807047699037084178851570547276172529 133 10 2.2.3.191.229.83791.1623931.1390636259.23204027016899114504903.13887854992134150485504500896345190378108653\ 21432371174936304520406104501526956813520954447 134 6 2.61.47271776033.555596265747977.5653530366032833.194347524816188063157344917316163731510839472419689280815\ 3799712458776309964218037475956185945937 135 19 2.2.3.3.3.3.31.37.181.379.631.13421.283771.590077.7537711.861465705211.4889988840047743.8630633583079983801\ 1.3909014919478257067611647254311892076465398578584589934681 136 6 2.17.17.6304673.29584734433.3951364572165740533499223885379274688932880605900690343904021732819435255040666\ 3629632980855979005749712409762411371230481 137 9 2.2.3.823.2467.12932527.666751384702583.33702237384570719055067.6618225834843701910882465020377513146074534\ 519708431589347550012959904179170066334607874103 138 11 2.13.61.277.1117.201757.6128029.2004414397.24737721275161.656943272596448809.260813416520010869997945696781\ 73937248173282084703143498940836604277367886736092977 139 7 2.2.3.48560832383207.23835478071413231.226911237770389320465096194749609274682969829.1799020021420670793955\ 452910062648782329345676350070250930470021301187 140 11 2.41.113.281.449.2521.7321.1120648576818041.77001139434480073.7406965671094607547812305361.4522523011641833\ 124254190467380698665648996274963293418051231917039641 141 11 2.2.3.3.37.2539.844309.549524471.26097456317.60699948346804199382437.27601121268595702663499475964138228754\ 9960710026365311501070014837044470192630725201808980699 142 5 2.61.192553.6896695512898403271082223952161993974407591311981.465811407486640028940330582024245866580550375\ 64653708522157973308108576026344096114825014757 143 20 2.2.3.23.53.89.199.859.911.2003.23167.36037.58367.59583967.2008696691.172626755159.303798181831.61915142248\ 6169.784071823409769959923.1376758841851098858192561441291859498245379 144 8 2.577.3457.51329.114500564929.447600088289.3659233404740477018363752843393.23778845560226372843327820636243\ 112457967210053130898985010753129117249420547694635777 145 9 2.2.3.59.13421.54521.10979607179423.204064664440913.8653719005168933795819192954442052944398178101271333803\ 063467458016405399722313222353196657036509056155169947241 146 7 2.61.293.877.10851207624233.1642924373932604240398418631306800170146224088997.19770121700484944588827152871\ 7782524432344168525454840257403895055137223757102073861 147 14 2.2.3.3.37.11467.800171.1623931.176784259.54447297367.3421169496361.593567588238393763.33761096386802842263\ 303497.92798096943647997760409196962615760375999913293276053417701 148 5 2.1481.7321.10170146161160624507589185121238262249266667161256127057415217.60622626428062749376619618807622\ 668011972562662106003547080399907358442197151548735273 149 7 2.2.3.1193.1530827.775322709138856254112793450158954494201167319485721463.865525327060749392778837283153902\ 5466268936040995557086831408002731188838672182099838786137 150 11 2.13.61.101.1117.212601841.2248313994601.46329453543600481.7884604271247668072701.1993099906542710819727884\ 501.25979746658107161913187074671032833320672752745552382077035701 151 8 2.2.3.907.3323.255421785001.372781462691737543021989945244913.516730790696110151347975686092076212041433557\ 4957069856125009544580377375533922662140211511462475018258507 152 6 2.17.13681.6304673.1077214649569.61962162575073047547441022812017657107747598240691544804534029908829317210\ 002521690237365440376265162862693661729168926665388807254289 153 17 2.2.3.3.3.37.103.2143.71707.264793.590077.1348033.2218331.70740970147.16576413357576409067287639.1840706193\ 591427502373477305882643135847.33755635467861578498080914222269606335643433763 154 12 2.29.61.617.1933.99793.251857.55527473.28785963361.2649263870814793.65808672978228777210147008368433.801396\ 672655716252884113843317517700515501139590143917044530149262225615817 155 13 2.2.3.311.1303.10789.13421.25111.668671.3658524738455131951223.1945899780650862081973056361.251539498252379\ 73485338723920570841.123056604485215768770111502151330349856185113277226921 156 10 2.1873.7321.10657.20113.24337.332327331649.341226120551908708215217157918113.182101820899247346556088181826\ 5861171301731904513.97010607829826070873559937268360584022789501553441 157 5 2.2.3.424843.6183606668722432260813270401610891901026772777630263331129871490860565078767425447887272278889\ 276136822799882106016539516444365078922643763447776907022763967 158 8 2.61.21621681589.195687304237.2325820989287069.2016628650692376508178693692448257.1771158541167766740145986\ 63778398923878397.808672454399268906990168109182822525759960528368017 159 10 2.2.3.3.37.1697.5353637.17148893.8357265774463208206521728596439861293.219938697093224151258079869539858459\ 6125731067123544651460264384409413791902339160255499055284672088918951921 160 8 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