- 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 5 [1st Prime] 2 2 5.7 3 2 5.43 4 3 5.7.37 5 3 5.5.311 6 4 5.7.31.43 7 2 5.55987 8 4 5.7.37.1297 9 4 5.19.43.2467 10 6 5.5.7.11.101.311 11 3 5.23.3154757 12 7 5.7.13.31.37.43.97 13 3 5.3433.760891 14 6 5.7.7.29.197.55987 15 6 5.5.43.311.1171.1201 16 6 5.7.17.37.1297.98801 17 5 5.239.409.1123.30839 18 7 5.7.19.31.43.2467.46441 19 3 5.191.638073026189 20 9 5.5.7.11.37.101.241.311.6781 21 4 5.43.55987.1822428931 22 5 5.7.23.3154757.51828151 23 5 5.47.139.3221.7505944891 24 9 5.7.13.31.37.43.97.1297.1678321 25 6 5.5.5.311.18198701.40185601 26 7 5.7.53.937.3433.37571.760891 27 6 5.19.43.163.2467.623067280651 28 9 5.7.7.29.37.197.421.55987.5030761 29 2 5.7369130657357778596659 30 11 5.5.7.11.31.43.101.311.1171.1201.1950271 31 3 5.5333.49744740983476472807 32 9 5.7.17.37.353.1297.1697.98801.4709377 33 6 5.23.43.67.3154757.45686117391553 34 8 5.7.239.409.1123.30839.190537.12690943 35 7 5.5.71.311.55987.37863211.1469029031 36 13 5.7.13.19.31.37.43.73.97.541.2467.46441.55117 37 6 5.149.7919.12211.2569799.334286825813 38 6 5.7.191.1787.48713705333.638073026189 39 6 5.43.3433.760891.3143401.1262014275211 40 12 5.5.7.11.37.41.101.241.311.1297.6781.68754507401 41 3 5.8648131.1854850885886497427178961 42 10 5.7.7.29.31.43.197.55987.1822428931.2527867231 43 5 5.173.431.7383359.1048953903129961695599 44 9 5.7.23.37.58477.70489.863017.3154757.51828151 45 11 5.5.19.43.311.1171.1201.2161.2467.112771.19353635731 46 8 5.7.47.139.3221.113958101.990000731.7505944891 47 4 5.930911329.45110836129.17821718159716147 48 13 5.7.13.17.31.37.43.97.1297.5953.98801.1678321.473896897 49 5 5.55987.6527977.122694573317.600827908214213 50 10 5.5.5.7.11.101.311.18198701.40185601.3655688315536801 51 9 5.43.239.307.409.1123.30839.927037099.23412002806867 52 11 5.7.37.53.313.937.2341.3433.37571.760891.6291946695217 53 4 5.13781.357293834576449.7091531088740602980647 54 11 5.7.19.31.43.163.2467.46441.114967.883383463.623067280651 55 7 5.5.23.311.3154757.3675127061.3031462959351050977391 56 14 5.7.7.29.37.197.281.337.421.617.1297.55987.5030761.81035189089 57 7 5.43.191.47881.820459.638073026189.219815829325921729 58 6 5.7.59.32713.2727192763388813.7369130657357778596659 59 4 5.4866979762781.29050941569087.11522163007228653937 60 20 5.5.7.11.13.31.37.43.61.97.101.181.241.311.1171.1201.3541.6781.74161.1950271 61 4 5.42461491.80057377.17252803354297421346943980322273 62 5 5.7.5333.49744740983476472807.189491931189200021056951 63 10 5.19.43.379.2467.55987.8387947.616332907.1822428931.5239858051 64 12 5.7.17.37.353.1297.1697.2753.98801.145601.4709377.19854979505843329 65 9 5.5.311.3433.11831.760891.1420901.49398961.22533649654910414281 66 12 5.7.23.31.43.67.463.72073.3154757.51828151.127236649.45686117391553 67 3 5.904949028329910415467529.3023706637809542222940030043 68 11 5.7.37.239.409.1123.30839.190537.934117.12690943.8289713345361373993 69 8 5.43.47.139.3221.11731.7505944891.1236385853432057889667843739281 70 18 5.5.7.7.11.29.71.101.197.311.631.701.2311.9241.55987.585131.37863211.1469029031 71 2 5.3546245297457217493590449191748546458005595187661976371 72 18 5.7.13.19.31.37.43.73.97.541.577.1297.2467.3313.46441.55117.1678321.2478750186961 73 5 5.44764549877.2436094907761.8439148071138817.138721648424756087 74 10 5.7.149.3923.7919.12211.2569799.334286825813.1096762734443.2054788991719 75 12 5.5.5.43.311.601.1171.1201.82051.18198701.40185601.271041511600591342728451 76 9 5.7.37.191.1787.48713705333.638073026189.1030762781149.9736145643041809 77 6 5.23.55987.3154757.484847574510970082567.84002092056248016278479853 78 15 5.7.31.43.53.79.937.3433.9049.37571.760891.868999.3143401.8857759.1262014275211 79 4 5.1147240288157.26283825237209622143.197531251446059329471533015409 80 17 5.5.7.11.17.37.41.101.241.311.1297.6781.17761.98801.3696985841.68754507401.121206120881 81 8 5.19.43.163.2467.27767002339.623067280651.37725805717350619429950429139147 82 7 5.7.83.28537.8648131.1854850885886497427178961.4837453663777044375040181 83 8 5.167.499.17597.41580677.80781507941.605274844997.2589238104153304205575487 84 17 5.7.7.13.29.31.37.43.97.197.421.55987.5030761.804146449.1822428931.2527867231.6055984789 85 10 5.5.239.311.409.1123.30839.26807981.20891158391.94260123386979283872547675418641 86 7 5.7.173.431.7383359.1048953903129961695599.412482688627178079807598675848631 87 7 5.43.2694217.1833921547.4706691035521.1357610070580129.7369130657357778596659 88 12 5.7.23.37.89.1297.58477.70489.863017.3154757.51828151.150080764792922988676714149209 89 4 5.8011.2064441331.21777198152670085407545228412531133078179560879352228259 90 18 5.5.7.11.19.31.43.101.311.1171.1201.2161.2467.46441.112771.1950271.19353635731.4760317816590150361 91 6 5.3433.55987.760891.48215910563832798697.1838738460168896001275668872592841923 92 13 5.7.37.47.139.3221.6073.2259889.9564781.113958101.990000731.7505944891.128407494947883673 93 9 5.43.5333.186187.290869963.659988451.842660004553.1358539033057.49744740983476472807 94 6 5.7.930911329.45110836129.17821718159716147.534577564460822791430647883899825591 95 11 5.5.191.311.571.1901.825838991.638073026189.1298704628041.25425408247171.2995523312517361 96 20 5.7.13.17.31.37.43.97.193.353.1297.1697.5953.8641.98801.1678321.4709377.473896897.688490113.6931400449 97 6 5.389.1747.1586365166597.18969653181299397175271.29579867253585988507046633033646287 98 12 5.7.7.7.29.197.55987.6527977.122694573317.600827908214213.762332681442053.90179616936384011 99 13 5.19.23.43.67.2467.16633.3154757.18380539.18414001.226407819331.45686117391553.38167293140100433 100 16 5.5.5.7.11.37.101.241.311.6781.343801.18198701.22243201.40185601.3655688315536801.1748016735462726601 101 3 5.1275678077.614561277123903327309455926778985780630117744484485521069032496702063 102 17 5.7.31.43.103.239.307.409.919.1123.30839.190537.12690943.927037099.980146969.99617785207.23412002806867 103 5 5.2473.5563.160681.12767653355301160780822191431160569156710177181791578590824899905497 104 15 5.7.37.53.313.937.1297.2341.3433.37571.192193.760891.14090441.6291946695217.8284434950526240125727017 105 15 5.5.43.71.211.311.1171.1201.35281.55987.58171.37863211.1469029031.1822428931.61921104791950322094158011 106 9 5.7.107.13781.97351567.33685364386033.357293834576449.71080464397105403.7091531088740602980647 107 4 5.643.5044140393054571.11277573027736036722713586016689525331842510247329583574661742579 108 21 5.7.13.19.31.37.43.73.97.109.163.541.2467.46441.55117.114967.591841.171467713.883383463.623067280651.932461\ 936453 109 3 5.30726149494277.42855656091880208870012451741752392192104225262820633109434962552795607 110 15 5.5.7.11.11.23.101.311.1031141.3154757.51828151.3675127061.16336066781.84155540944421.3031462959351050977391 111 11 5.43.149.7919.12211.2569799.89728627.187333846633.334286825813.1487716834806007369.3561693323285489089 112 20 5.7.7.17.29.37.113.197.281.337.421.617.1297.4817.55987.98801.4048129.5030761.81035189089.101894402390128830\ 75423169 113 5 5.107351.54466954894479739.201436862864351419099.1448915804946152111264738471459190964062624173 114 14 5.7.31.43.191.457.1787.47881.137713.820459.48713705333.638073026189.219815829325921729.190324492938225748951 115 12 5.5.47.139.311.461.1151.3221.44851.7505944891.257917526307345124973861.40752608049190149321816351186154151 116 9 5.7.37.59.349.32713.2727192763388813.7369130657357778596659.105134528469779071670501631159328247729809 117 12 5.19.43.2467.3433.6553.760891.3143401.5958157609.1262014275211.39031258670353.69488040914581799577604095001 118 6 5.7.4866979762781.29050941569087.11522163007228653937.1163658999540220416412446482708919139658591671 119 11 5.239.409.1123.16661.30839.55987.29032062767.103198889691409.12405291558509977.6783899150200555463142339438\ 01 120 26 5.5.7.11.13.31.37.41.43.61.97.101.181.241.311.1171.1201.1297.3541.6781.13441.74161.1678321.1950271.68754507\ 401.592575109627400042641 121 6 5.23.3154757.4163261521.1304380464883.7274439979153836750841469647330331057551053697734443556853774027 122 7 5.7.9151.42461491.80057377.17252803354297421346943980322273.4577830180684945360162613198286645069141001 123 7 5.43.8648131.25512169.141304123.1854850885886497427178961.41498448376119216462262063079126262444529017073 124 7 5.7.37.5333.49744740983476472807.189491931189200021056951.47552767764994953232854569779888803761183529901 125 11 5.5.5.5.311.18198701.40185601.9536585501.117811792772681609501.105875321588567599765751.1098445767808750903\ 973251 126 20 5.7.7.19.29.31.43.127.197.379.2467.46441.55987.8387947.616332907.1822428931.2527867231.5239858051.154260982\ 009.528921402377887 127 2 5.133733063818254349335501779590081460423013416258060407531857720755181857441961908284738707408499507 128 15 5.7.17.37.353.1297.1697.2753.98801.145601.4709377.4926056449.19854979505843329.447183309836853377.287537871\ 97056661026689 129 8 5.43.43.173.431.7383359.1048953903129961695599.450890019061015235057788732310222433830055241504017824833016\ 3977 130 17 5.5.7.11.53.101.131.311.937.3433.11831.37571.760891.1420901.49398961.22533649654910414281.19993078229848352\ 3040584108028862541 131 6 5.263.3931.6551.1284827442574221936870974393373403.19917397922626842334449833677404096613537638684348856178\ 059 132 23 5.7.13.23.31.37.43.67.97.463.3037.58477.70489.72073.96493.622513.863017.3154757.4629769.51828151.127236649. 16266405013.45686117391553 133 9 5.191.11971.55987.188861.1101773.638073026189.164331230229374083.223393431463263911519708964052259906781762\ 9985127899 134 8 5.7.269.418349.90571543952974835963.191757760647639121941197.904949028329910415467529.302370663780954222294\ 0030043 135 15 5.5.19.43.163.311.1171.1201.2161.2467.112771.175509721.19353635731.623067280651.606162141679902054991801871\ 110954177324256409961 136 16 5.7.37.137.239.409.1123.1297.5849.30839.190537.934117.12690943.1536052010629489.8289713345361373993.5142057\ 6374811381403609445473 137 6 5.6577.25247731.53280671.60042056488501962187.1522214510879021329626941843334490679379355130104242302631442\ 9342733 138 14 5.7.31.43.47.139.3221.11731.113958101.990000731.7505944891.24648570768391.816214079084081564521.12363858534\ 32057889667843739281 139 5 5.557.21407.128159.1904994318294264032001011698767856776424905969372788422268974477324726371768074195193068\ 08486559 140 25 5.5.7.7.11.29.37.71.101.197.241.311.421.631.701.2311.6781.9241.55987.585131.5030761.37863211.1469029031.135\ 09594555661.1708114263204222806519161 141 11 5.43.283.13537.753554761.930911329.45110836129.122320721569.989671414201.17821718159716147.9318249558895921\ 24612176563793529 142 6 5.7.37489.11735704315681.5757417485448059422914748320317168839.35462452974572174935904491917485464580055951\ 87661976371 143 8 5.23.859.3433.760891.3154757.62545486153056268832471.370492708153183538667516076628295958764609620252358691\ 48795940042759 144 23 5.7.13.17.19.31.37.43.73.97.541.577.1297.2467.3313.5953.46441.55117.98801.1678321.473896897.2478750186961.2\ 2452257707354557235348829785471057921 145 7 5.5.311.132241.150433631394488258261.7369130657357778596659.59580423676805748420140957215180302958743471829\ 183098610333631 146 11 5.7.293.439.120855443.1389436303.44764549877.2436094907761.8439148071138817.138721648424756087.422188345937\ 8030470824476438562257 147 9 5.43.55987.6527977.32093041.1822428931.122694573317.600827908214213.721593495645162209494937916430925440485\ 5094763766767407121 148 15 5.7.37.37.149.3923.4441.7919.12211.2569799.334286825813.1096762734443.2054788991719.3300043400835529.190892\ 407618022993841069346975403017 149 4 5.38538553.1318713554713829548602512956686040272376450743377909.3463541760502538278596775684588153902182357\ 12359759067327 150 22 5.5.5.7.11.31.43.101.151.311.601.1171.1201.82051.168151.1950271.18198701.40185601.573178201.918628247364601. 3655688315536801.271041511600591342728451 151 4 5.2623968964411.4956504421137000338429923175878885954098593563.48723066259314477894157817245533780187559387\ 828254264047307 152 14 5.7.37.191.1297.1787.4561.48713705333.638073026189.1030762781149.355518408146401.9736145643041809.502818748\ 6478069273.13038313680704041577 153 14 5.19.43.239.307.409.1123.2467.30839.927037099.9757142011.23412002806867.12644443230579801886843521019.40670\ 77533669936706351248605374735249 154 12 5.7.7.23.29.197.55987.3154757.51828151.484847574510970082567.84002092056248016278479853.5701908713415125406\ 1666621717728669167279862151 155 8 5.5.311.5333.3559267608341.49744740983476472807.208210289142572055121.2686345232069105360022926492125783168\ 511035955840811134515391 156 26 5.7.13.13.31.37.43.53.79.97.157.313.937.2341.3433.8893.9049.37571.760891.868999.3143401.8857759.12620142752\ 11.6291946695217.197743936282933.6429178169720749 157 6 5.6446107.6423436771.81127299702871294523556776543.8695994904356302134775281276601.101210377513117399538507\ 3322337706122495245797 158 10 5.7.317.5531.2832941.1147240288157.99687312908749681.26283825237209622143.197531251446059329471533015409.85\ 92319153827988586815914947213 159 8 5.43.13781.118721004139.67587459957091.357293834576449.7091531088740602980647.88342645123243360518614293208\ 997935963729713364951837539 160 23 5.5.7.11.17.37.41.101.241.311.353.1297.1697.6781.9601.17761.98801.4709377.3696985841.68754507401.1212061208\ 81.2810800069601.2347110840158563816028186318246561 161 11 5.47.139.3221.10949.55987.593447.7505944891.491787574454982121.3358586137753609961516447641418203949.403733\ 622730561138499463252012494935013 162 16 5.7.19.31.43.163.1783.2467.46441.114967.149862151.883383463.27767002339.623067280651.3920344350409644507093\ 715799617.37725805717350619429950429139147 163 4 5.653.2378523250342970947582043555610171717174452063.888102772526021838488123845334486037375412519645053051\ 472793437455099303804577 164 11 5.7.37.83.28537.4046701.8648131.174521133001.1854850885886497427178961.4837453663777044375040181.2461793762\ 06361788466441901958293949537091001 165 15 5.5.23.43.67.311.331.1171.1201.3154757.3675127061.45686117391553.13724862774476458441.303146295935105097739\ 1.46975793563298851302025905551105268509881 166 13 5.7.167.499.17597.710813.41580677.6547890917.80781507941.605274844997.21608536062644851877771.2589238104153\ 304205575487.54824363564629401758409941 167 7 5.19466857.10301691259.229027359614687.9703107759710968661.2200446540213260920441013.1822952692682777153874\ 022559086738173481449195038610359 168 25 5.7.7.13.29.31.37.43.97.197.281.337.421.617.1297.55987.1678321.5030761.804146449.1822428931.2527867231.6055\ 984789.81035189089.1176362433121.19100900655540830489319601 169 9 5.677.3433.3719.760891.1420277.3066042413300025661761581713.351082413599031251316269147227.6400588768393061\ 926708979473301321313835119309935933 170 18 5.5.7.11.101.239.311.409.1123.30839.190537.12690943.26807981.1383638161.20891158391.72085651321561.74079767\ 2014674927371043791.94260123386979283872547675418641 171 12 5.19.19.43.191.2467.47881.820459.638073026189.219815829325921729.25896916098621777025320461067950269867.221\ 9821955745760247086895900084483710540707577 172 12 5.7.37.173.431.1033.6501601.7383359.1048953903129961695599.2914764989376043020733.4124826886271780798075986\ 75848631.11510167124054813592781820845997449 173 4 5.924669087985921.495043698717322221180325946047148316337.1822075782646830894938583830209188116275940005015\ 26518712612326479679426743760419 174 18 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