- 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 2 2.3 2 2 2.13 3 4 2.3.3.7 4 2 2.313 5 3 2.3.521 6 3 2.13.601 7 4 2.3.29.449 8 3 2.17.11489 9 6 2.3.3.3.7.5167 10 4 2.13.41.9161 11 5 2.3.23.67.5281 12 3 2.313.390001 13 4 2.3.5227.38923 14 3 2.13.234750601 15 7 2.3.3.7.61.521.7621 16 3 2.2593.29423041 17 4 2.3.3061.41540861 18 5 2.13.37.601.6597973 19 5 2.3.761.19609.213029 20 4 2.241.313.632133361 21 10 2.3.3.7.7.29.43.127.449.7603 22 4 2.13.89.1030330938209 23 4 2.3.47.42272797713043 24 4 2.17.11489.152587500001 25 5 2.3.521.1901.50150933101 26 5 2.13.13.53.83181652304609 27 10 2.3.3.3.3.7.163.487.5167.16018507 28 3 2.313.59509429687890001 29 4 2.3.5096867.6090817323763 30 7 2.13.41.601.2281.9161.69566521 31 5 2.3.1303.21207101.28086211607 32 4 2.641.75068993.241931001601 33 9 2.3.3.7.23.67.5281.595123.190771747 34 6 2.13.1973.20129.45289.12447002677 35 7 2.3.29.449.521.15216601.4698932281 36 6 2.73.313.390001.543097.1503418321 37 5 2.3.9103.29010221.45920153384867 38 4 2.13.4885168129.2864226125209369 39 8 2.3.3.7.3121.5227.38923.22735632934561 40 5 2.17.11489.25601.909456847814334401 41 6 2.3.83.43543.221401.9472026608675509 42 6 2.13.601.2521.234750601.24587411156281 43 6 2.3.1549.9547.7866608083.1628744948329 44 3 2.313.9080418348371887359375390001 45 10 2.3.3.3.7.61.521.5167.7621.60081451169922001 46 3 2.13.5465713352000770660547109750601 47 5 2.3.2069.15888756269.3602372010909260861 48 5 2.97.2593.29423041.240031591394168814433 49 7 2.3.29.449.49105547.1866013003.2481357870461 50 7 2.13.41.9161.239201.424256201.89620825374601 51 10 2.3.3.7.103.3061.8467.528667.41540861.60119016343 52 5 2.313.51169.537181587281.129044008326199409 53 5 2.3.107.28838378869.599659003321309822423087 54 6 2.13.37.601.6597973.14551915228363037109375001 55 7 2.3.23.67.521.5281.10910444855403996246103496881 56 7 2.17.113.337.11489.2520917617.37007700327977836913 57 9 2.3.3.7.229.761.19609.213029.75649382555448580095589 58 3 2.13.1334402673828313149547634216455312875601 59 6 2.3.827.5242462229.3237765225301.2059647179472887 60 6 2.241.313.390001.632133361.23320317172851318360001 61 6 2.3.367.9029.15571335384347.14008364639128540436401 62 4 2.13.8124604717965111529.102651353523520067851969 63 16 2.3.3.3.7.7.29.43.127.449.883.5167.7603.406729.24132781.1692416503 64 4 2.769.3666499598977.96132956782643741951225664001 65 8 2.3.521.5227.18461.38923.15188886343541.15199221608544481 66 7 2.13.89.601.1453.1030330938209.6509387183417404924784917 67 3 2.3.11293772630057337854244300009061892827351888021 68 7 2.137.313.623017.938894988049.1361753880209.4959636586609 69 9 2.3.3.7.47.66163549.253592389.42272797713043.403316413944121 70 7 2.13.41.281.9161.234750601.13148832195720299503896018648521 71 5 2.3.4261.5747338499820296170481.288231038713838413442281 72 6 2.17.1297.11489.152587500001.2739177855667309845605995807633 73 5 2.3.63554310563.777612767772190289.3570677866897550288203 74 5 2.13.9769.40849.510241095096183757930733363918820917976121 75 13 2.3.3.7.61.521.1901.7621.118801.20775901.24665701.149439601.50150933101 76 5 2.313.457.21363981507860375753.21654472202540732126905077281 77 9 2.3.23.29.67.449.5281.20828886541.49970061516036179615325895945741 78 10 2.13.13.53.157.601.8684521.4056854881.83181652304609.667929705480493 79 6 2.3.18251687.7897663181.511465533067.37399095525167136010188229 80 6 2.2593.29423041.131349761.167597261761.24625444126052524088217281 81 14 2.3.3.3.3.3.7.163.487.1783.5023.5167.16018507.2066067271380136212224701233463 82 6 2.13.193357.6355001.1148205782281.56373078952722628530598981268453 83 5 2.3.167.4029666108840585686296627.2560787702841639767474730913969 84 7 2.313.6553.90217.390001.59509429687890001.6019022585035590658668001 85 9 2.3.521.3061.41540861.75752681.247515241.504156421.68795069664507129341 86 5 2.13.173.2171388367013.132331554743163541916284364878460504933118649 87 9 2.3.3.7.349.5096867.6090817323763.210390487070809.22500358133965991972941 88 7 2.17.11489.13729.929281.71225159567951317923809.91029014606406186465761 89 5 2.3.39387996609449861.56522267529181963.12094715786677995586454978647 90 12 2.13.37.41.601.2281.9161.6597973.20478961.69566521.6794091374761.25535754811081 91 8 2.3.29.449.5227.38923.15887476811320661.15994146485373751289418997754783021 92 4 2.313.150220315444217.214752088491462210591995581828628861192144614553 93 10 2.3.3.7.1303.21207101.258065887.28086211607.75005167927.53345671490722200466369 94 6 2.13.5077.12409.329573417220613.935213864500231208652603316429973471246089 95 9 2.3.521.761.4561.19609.213029.179763436784239734042181.309828362361188845069741 96 7 2.193.641.75068993.241931001601.5207826497153857.539344757336151926206665601 97 7 2.3.29683.261707.547663.90130760102421063383.27430239803369083066006288929529 98 7 2.13.197.234750601.164204573839769.74535675530760254357.21441970593484574539001 99 12 2.3.3.3.7.23.67.5167.5281.595123.190771747.874300184250616439267985523227691404297001 100 8 2.241.313.4001.132001.776401.632133361.201729070811027930976007420652223887947601 101 3 2.3.6573840876841765045097738044023218580610053625908525039752324422200521 102 12 2.13.601.1973.6733.20129.45289.4613053.19724557.34288117.12447002677.26837241260899651321 103 3 2.3.164346021921044126127443451100580464515251340647713125993808110555013021 104 8 2.17.11489.247161617.825256433.2220784177.31308249137777.889988147002015336570560929 105 18 2.3.3.7.7.29.43.61.127.421.449.521.7603.7621.5236141.15216601.4698932281.1354224218968567573270561 106 4 2.13.8871726015923707071209.534366212823606171881874993300544219189772104182089 107 4 2.3.643.159745355677531226795726527119537776550594226912629399294136965936054647 108 11 2.73.313.73009.390001.543097.1853281.3314953.1503418321.36280398313.13012873776055827785521 109 5 2.3.19403.4046322895447485867367.32707684672709516281678338357373622217207225350621 110 10 2.13.41.89.9161.245521.1458601.1030330938209.2802204291103029121.85725237432926769781584361 111 13 2.3.3.7.223.5107.9103.668221.13844587.29010221.107903101.45920153384867.221746234901611997486023 112 8 2.2593.271489.1149569.10922689.29423041.465314420407473281.7957141013471106527440814723329 113 6 2.3.227.1387189.12249784663.416072767607140626504228216362738974973739625245422473584889 114 9 2.13.601.22573.53590717.4885168129.2108505761893.2864226125209369.86336058161143199543775877 115 7 2.3.47.521.73141.42272797713043.529958401900871889532705668013589387152384352866888324141 116 8 2.233.313.929.33409.397823386118610689.1547355341777494553.431947226814793053965448991778881 117 13 2.3.3.3.7.3121.5167.5227.38923.40483.43236180703.22735632934561.121949664589584488031947458631250949 118 3 2.13.1157409822348098469384602128957288052006070702052516944254770910797210840078500601 119 10 2.3.29.449.2381.3061.25229.4172141.41540861.60433492605929799024858062086345509864222351309382109 120 8 2.17.11489.25601.2172116161.152587500001.909456847814334401.249573426944146284704352710315893441 121 10 2.3.23.67.5281.374499841.304639362281.11449313571047243.4600715686162128721.12819112747383653095727 122 7 2.13.733.61001.19811275733.26933356951273517.30319589876521738837586350091112786441985691445677 123 10 2.3.3.7.83.43543.221401.9472026608675509.30970420211207224741561.3179610795566616049227976098726121 124 3 2.313.751114601164400963558298106851275193494354988352771579238818981647550964507812890001 125 8 2.3.521.1901.3001.50150933101.51204738027593108331001.51336267539863487576798868866296350032791001 126 11 2.13.37.601.2521.6597973.234750601.4661402165281.24587411156281.147053007410401.308942475257273345172721 127 6 2.3.509.2287.2735581.3076137716865400512817630590222174947182195052472086065321936995866231846027 128 4 2.257.23653200983830003298459393.24171717725330873572798545219226642215966994254472458802413313 129 12 2.3.3.7.1549.9547.327845761.558801427.1420986601.7866608083.1628744948329.236419892853700126919767791480523 130 10 2.13.13.41.53.9161.87881.14402441.83181652304609.10371047328004711415976187888122003157511900197790591281 131 4 2.3.263.23278959735865959837783914314445613074672559346722265555860894056527591481597100222820867 132 7 2.313.390001.331660297.112835047682166217.9080418348371887359375390001.2213895710934906295050485076049 133 10 2.3.29.449.761.2129.19609.213029.354047.4905684062582720880172275280025711696216945281088701822552533098887 134 4 2.13.20369.8670367881621696201246383264395739338019619427601080980701370016748806481465099715917129 135 18 2.3.3.3.3.7.61.163.487.521.5167.7621.164701.16018507.31472682400981.182517282870121.60081451169922001.22382\ 3944168266601 136 6 2.17.17.11489.999329.17298244498006001776733260622470717119751907722059351560259725074404263356882341457 137 8 2.3.823.2741.22469.7642530702770043710321.61562630761411218787053569.4011366712134698762723279325243498287 138 9 2.13.277.601.70942489.22600337281.66988220431117.1129448349501082362870332521.54657133520007706605471097506\ 01 139 6 2.3.172694671812043.417786018853823.2459716746919477501.13476012762896826693076454784079583396699156093189 140 7 2.241.313.632133361.59509429687890001.514845603025661988644048801.24554874798220986864643786538129965751201 141 12 2.3.3.7.283.1129.2069.15888756269.24048335089.37516308093487.3602372010909260861.83401839008933340130657770\ 875911981 142 9 2.13.853.72497533.8367932201.200771218157.554474665573.1095832589179957.10928221322658064610359890149344296\ 10237 143 12 2.3.23.67.5227.5281.38923.2010581.2253938672701.567618483045329.3028704600213534236926361.11587897416475392\ 7617074729 144 6 2.97.2593.29423041.240031591394168814433.126217744835361888865876570445245761220576241612434387207031250000\ 01 145 9 2.3.521.5096867.98047293061.3532907090761.6090817323763.17149742984461.388917369321230148861862121856409329\ 475801 146 7 2.13.293.27133517.84128413.772557938155429260697128053.8344490393750630749901287104215820511970406163545961\ 8689 147 16 2.3.3.7.7.7.29.43.127.449.7603.49105547.1866013003.9887502829.2481357870461.7469667363102313097848984703627\ 87834256167309467 148 6 2.313.3257.3542233.10044059578457.3863510929006128731397775997106278623741777873312669722258159878450119598\ 00953 149 8 2.3.85229.4394309.12703371381749.1084802496290323.864203844381482464122519761.52361917935772260201994833743\ 50559063 150 13 2.13.41.601.2281.9161.14401.239201.69566521.424256201.89620825374601.299541552154912341601.1917567520615207\ 7061206122104001 151 4 2.3.43367201.1346350114076627740439648525400870859446925821002870129660381936156650470599755601672561817284\ 1821 152 8 2.17.11489.14897.4189729.11524380579073027969.101284922414513827611672455293249.615506112662870422746709179\ 075698731217 153 17 2.3.3.3.7.103.307.3061.5167.6427.8467.528667.6297787.41540861.45618058027.60119016343.224444666262772711206\ 28423571194332041248441 154 9 2.13.89.8009.40987409.234750601.1030330938209.74353801974761.3205545310095322669335676987039639070961467094\ 8349354111761 155 10 2.3.521.1303.21701.21207101.28086211607.108674992710961.145475949458129109023753501.26305238718580315281455\ 86480948032725521 156 8 2.313.51169.390001.537181587281.129044008326199409.319143533738738955692755921.3961217425535388935161067587\ 3223022522481 157 5 2.3.1585387.223975620462535382927.2569232394939842779680495564023980943892727812972458042294041029133650710\ 2459744229 158 7 2.13.317.41081.72997.10390269663517.10657497440017967338967647718253054242742650521015293652487517794112636\ 89062240801237 159 10 2.3.3.7.107.5407.1725469.28838378869.599659003321309822423087.629126000698440176948173290025536367961358687\ 591029988395118907 160 6 2.641.75068993.241931001601.46957667265666758402894952584920394200961.6258266324069263267587145223441885541\ 709510944641 161 8 2.3.29.47.449.116243.42272797713043.18960485330630458608726423548435017513366985359855739634899671100737360\ 80198781935695267 162 9 2.13.37.601.6597973.503731168597.14551915228363037109375001.720314410420100602530036001.8492577938450345455\ 181723282785204933 163 6 2.3.1981740926993660561.286075553470422974507.721493104094461397911450801.348497483550115442544224379540353\ 249271092076223 164 7 2.313.2953.811755457273.46964872205858855033.2211877372577215640856618933593.274336455529883240823514187708\ 17073340037603441 165 16 2.3.3.7.23.61.67.521.661.5281.7621.595123.9651181.190771747.10910444855403996246103496881.10895236801197932\ 042869534022823840857626381681 166 6 2.13.997.4649.99006230951147470700089.896045657712933264240211729388605474603462200808101295164294346037293\ 2436601305246853 167 5 2.3.4978061451403.50902967640396173052637279626869845515838501.35158967909030207343496611675401197018177156\ 4516376842044907 168 11 2.17.113.337.11489.12433.2520917617.152587500001.37007700327977836913.44763922656823409574575008753.2267866\ 3531006893220213039493696449 169 6 2.3.5227.38923.493481.2218453039442110882133181987181140975254661304315275239985248150354057020847251976922\ 5708903579067059921 170 14 2.13.41.1361.1973.9161.14281.20129.45289.14239201.87393601.12447002677.1972618762904267665190337601.6405730\ 905595298015162543537765377017161 171 14 2.3.3.3.7.229.761.5167.19609.213029.60272250820183.75649382555448580095589.6267476427578502461453809.822262\ 8300623099463003315779263154383 172 6 2.313.18233.30185745097.2646713294612838233.183189037749367561353160052737923198105661589251022209827163406\ 2217297884703623956697 173 5 2.3.347.42794294406607.937441455241963094607957706948612301160760445304907763236810669171892433701043108759\ 79970232855261687349 174 8 2.13.601.382801.506670253.146817720340602448117.1334402673828313149547634216455312875601.703346099946949634\ 05747806474103032308808001 175 13 2.3.29.449.521.701.1901.2801.15216601.4698932281.50150933101.6309154245455368301.60748729625391012923689977\ 527382296073385364682787107908201 176 10 2.353.2593.1827937.2704769.29423041.1800750547615213217.609201485490930587260897.830940907997357679202561.4\ 300806813670912100945629926401 177 15 2.3.3.7.709.827.1063.347629.5242462229.49987218529.3237765225301.2059647179472887.130325543183670643.504583\ 856881942565107.1663887084465861537223 178 4 2.13.20365288294844141313970353677.492943178875032482640838985113395959050145702649364199012184405675798010\ 53361633437921664941413 179 8 2.3.21320258969.12021304420747747.227138023883511049.20324346366468227562461.9711234996179070876201114229.1\ 893017204291990900535319125287 180 14 2.73.241.313.8641.390001.440641.543097.632133361.1503418321.356646293281.50735307557193841.2332031717285131\ 8360001.183199167868426942613978977201 181 6 2.3.1087.28961.101723.1698076598320997975868223540073977077839321323584898520172503381664545593585083705639\ 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