- 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 11 [1st Prime] 2 2 11.13 3 2 11.157 4 4 5.11.13.29 5 2 11.22621 6 5 7.11.13.19.157 7 3 11.659.4943 8 6 5.11.13.29.89.233 9 4 11.37.157.80749 10 4 11.13.19141.22621 11 4 11.11.23.266981089 12 8 5.7.11.13.19.29.157.20593 13 3 11.477517.20369233 14 6 11.13.211.659.4943.13063 15 6 11.61.157.661.9781.22621 16 9 5.11.13.17.29.89.97.233.260753 17 3 11.2693651.74876782031 18 9 7.11.13.19.37.157.1657.1801.80749 19 2 11.29043636306420266077 20 8 5.5.11.13.29.19141.22621.85403261 21 5 11.157.659.4943.8177824843189 22 6 11.11.13.23.266981089.57154490053 23 4 11.47.39891250417.321218438243 24 12 5.7.11.13.19.29.89.157.193.233.20593.2227777 25 4 11.22621.303551.12629757106815551 26 8 11.13.13.79.36037.222379.477517.20369233 27 6 11.37.157.80749.306829.86769286104133 28 10 5.11.13.29.211.659.673.4943.13063.13156924369 29 5 11.59.24767.368939.3335672988472972523 30 13 7.11.13.19.31.61.157.421.661.9781.19141.22621.35671 31 5 11.373.126883621.23364027983.234187563803 32 11 5.11.13.17.29.89.97.233.153953.260753.1200913648289 33 8 11.11.23.157.886381.5999137.266981089.661269577 34 6 11.13.2551.2693651.74876782031.66900193189411 35 9 11.71.491.659.4943.22621.806821.6089651.425455031 36 14 5.7.11.13.19.29.37.73.157.1657.1801.20593.80749.122138321401 37 3 11.3933841.196560666553286126588980353347341 38 6 11.13.3307.8209.905265296671.29043636306420266077 39 7 11.157.36973.477517.17654521.20369233.111704871987697 40 14 5.5.11.13.29.41.89.233.521.19141.22621.127921.67657441.85403261 41 4 11.83.1977898057.97668924760419986491370101198871 42 14 7.7.11.13.19.43.157.211.659.4943.13063.17011.1885339.8177824843189 43 5 11.431.12313309.13444466603.32359758358562524963364461 44 12 5.11.11.13.23.29.2377.3697.6337.266981089.57154490053.68368660537 45 12 11.37.61.157.661.9781.22621.30781.80749.5234401.21456901.22981681 46 8 11.13.47.829.12421.39891250417.321218438243.49489630860836437 47 3 11.10617249990997021.4509348865973648037702008076799297 48 18 5.7.11.13.17.19.29.89.97.157.193.233.7681.20593.40609.260753.2227777.592734049 49 5 11.659.4943.77617.27268138641564464649627762762033543154129 50 10 11.13.1951.19141.22621.60601.73951.303551.438472201.12629757106815551 51 6 11.157.2693651.20757613.74876782031.1510376787258214230993801577 52 13 5.11.13.13.29.53.79.677.36037.222379.477517.20369233.2200289654266792155913 53 7 11.107.743.1694941.29504677.3089222210773.11639817348279944053139101 54 16 7.11.13.19.37.109.157.271.487.1657.1801.39097.80749.306829.47336293.86769286104133 55 8 11.11.23.5281.22621.266981089.442434513819541.5766308324790114380136001 56 13 5.11.13.29.89.211.233.659.673.4943.13063.13156924369.79493013628273739882868481 57 7 11.157.114001.129733.20526705689989.2141456811167917.29043636306420266077 58 8 11.13.59.24767.368939.1402596253.3335672988472972523.1084876017544880450377 59 4 11.22067.33565608845417661253.576319092656266231937955277485160608227 60 19 5.5.7.11.13.19.29.31.61.157.421.661.9781.19141.20593.22621.35671.85403261.186168115009253521 61 4 11.1706293.1000831393.35995548461449237368649937465097120608531155491049 62 8 11.13.373.1263499.126883621.23364027983.234187563803.173420475484059478781201647 63 8 11.37.157.659.4943.80749.8177824843189.708391688852136898302887193094373767489 64 13 5.11.13.17.29.89.97.233.769.153953.260753.1200913648289.44450180997616192602560262634753 65 8 11.131.22621.477517.20369233.1932288541.596827590710414051.38346067178495390031121 66 17 7.11.11.13.19.23.67.157.199.1453.5479.886381.5999137.266981089.661269577.39105782299.57154490053 67 5 11.45464593.16180787699.17577834702049211.14194250210247370482234494581820525581 68 10 5.11.13.29.2551.2693651.74876782031.79471453801.66900193189411.427152748915310957418697 69 7 11.47.157.39891250417.321218438243.6279903241741823809.44512779475648508632485424501 70 14 11.13.71.211.491.659.4943.13063.19141.22621.806821.6089651.425455031.86121235964912696227980301 71 4 11.5113.19597.37984848524797723599443142193849504165878058073506632204903320475097 72 21 5.7.11.13.19.29.37.73.89.157.193.233.1657.1801.20593.80749.2227777.2231857.3684845809.9666387937.1221383214\ 01 73 3 11.50654608967364071.10819801896323246322047439823759030271173906614865775084804891 74 7 11.13.3933841.5250079.4150805645839.30023720899326796981.196560666553286126588980353347341 75 11 11.61.157.601.661.9781.22621.303551.80342401.12629757106815551.304388904961188288704032230609001 76 11 5.11.13.29.3307.8209.1977673.905265296671.176477034940417.2016864235215616489.29043636306420266077 77 11 11.11.23.659.4621.4943.266981089.379101493.191199728567.50565974802015289.3049643652382570802424251 78 18 7.11.13.13.19.79.157.313.859.36037.36973.222379.477517.17654521.20369233.17793645013.17991125491.1117048719\ 87697 79 4 11.162109.130479719.77370537348083186697234206796711379983732285083928961107335722804796087 80 18 5.5.11.13.17.29.41.89.97.233.521.19141.22621.127921.260753.67657441.85403261.341821891076700050928622562977\ 38241 81 9 11.37.157.80749.306829.5937949.86769286104133.660198074631409.4813672836681861967666457690352914053 82 9 11.13.83.12301.1684652527.1977898057.13657436942593.47936660465075191.97668924760419986491370101198871 83 10 11.167.997.1993.22079.557889481.35238620437.2731547200091.10052468384786123.8580328460037248736936629989 84 20 5.7.7.11.13.19.29.43.157.211.659.673.4943.13063.17011.20593.1885339.13156924369.8177824843189.8004888183409\ 4656438235281 85 10 11.1021.22271.22621.2693651.4832761.74876782031.204560684821.5383015065849288291601.8851245553587646908851 86 10 11.13.431.71209.12313309.372060253.10273420681.13444466603.7177727914895266742809.32359758358562524963364461 87 11 11.59.157.349.1741.24767.368939.74233562929.936727604123432773.3335672988472972523.589895110249008472980350\ 17 88 16 5.11.11.13.23.29.89.233.2377.3697.6337.67651673.266981089.57154490053.68368660537.2172452839709731972780396\ 78825711337 89 9 11.179.2137.120863.3163346581.16649789224075621.35035317869663569.255053775727906405559.4656868283889935515\ 079 90 24 7.11.13.19.31.37.61.157.181.421.661.1657.1801.9781.19141.22621.30781.35671.80749.5234401.21456901.22981681. 47263556341.9298142299081 91 8 11.659.4943.477517.20369233.152705150363039.1091317880778743355464526983.2763479267390955155925039281253414\ 013 92 11 5.11.13.29.47.829.12421.39891250417.321218438243.49489630860836437.3026699576283175611073723284955887586781\ 32736113 93 10 11.157.373.8929.1261081.126883621.16185865453.23364027983.234187563803.283567119204578007220894586434442536\ 700248177 94 8 11.13.18049.12349627.21622395121.10617249990997021.8405516927437711741762092271.450934886597364803770200807\ 6799297 95 5 11.191.22621.29043636306420266077.2411179444704156047429462350631072712288681299074776570877408773293550795\ 851 96 23 5.7.11.13.17.19.29.89.97.157.193.233.7489.7681.20593.40609.153953.260753.2227777.3122881.592734049.12009136\ 48289.1461573322938242802306049 97 2 11.43570062353753446053455610056679740005056966111842089407838902783209959981593077811330507328327968191581 98 10 11.13.211.659.4943.13063.77617.8356734198817312279063.253265324522131745115559.2726813864156446464962776276\ 2033543154129 99 14 11.11.23.37.157.397.3169.80749.886381.5999137.266981089.661269577.9143902271574719666671109149.489529694220\ 4991493950514043177 100 20 5.5.5.11.13.29.101.1201.1951.19141.22621.60601.73951.303551.85403261.438472201.700936801.2334798291701.1262\ 9757106815551.14807687049800501 101 3 11.20359133179252403.44376585437740491243643115073310058804985067116083769691305215288274490044481461829581\ 371567 102 15 7.11.13.19.103.157.307.2551.2693651.20757613.74876782031.66900193189411.380355066717049.3077130526103089.15\ 10376787258214230993801577 103 7 11.3709.7417.1309643353.13951770188639477959439.226319692803146344014357964333823.1143630800580569683259972\ 155090034378209 104 18 5.11.13.13.29.53.79.89.233.677.36037.222379.288913.477517.20369233.25265657.2200289654266792155913.86572744\ 7657645665290857439836665912121 105 18 11.61.71.157.491.659.661.2521.4943.9781.22621.126001.806821.6089651.425455031.9562853581.8177824843189.2268\ 301966722094170973637436845641 106 12 11.13.107.743.3181.33073.1694941.29504677.77366539.3089222210773.11639817348279944053139101.148618289706177\ 14166257633556559606415803 107 4 11.126047.8368183883.25576252654191267599857410066384594796702097194341694171659889707317943899159116221534\ 05973231480937 108 26 5.7.11.13.19.29.37.73.109.157.271.433.487.1657.1801.3889.20593.39097.80749.306829.42729553.47336293.1221383\ 21401.165042892009.59686188135337.86769286104133 109 2 11.38847505248284297080132027896416017142612195125661065479912007070561353018244586258259062378587289015993\ 7874339918941 110 15 11.11.13.23.331.5281.6271.19141.22621.266981089.57154490053.442434513819541.164018234982236911.467684820296\ 35739671.5766308324790114380136001 111 5 11.157.3933841.196560666553286126588980353347341.4608000898691909219837070170281225442095241765206022497823\ 81908735149795083701 112 22 5.11.13.17.29.89.97.113.211.233.659.673.2129.4943.13063.244721.260753.527633.13156924369.22232950788588289. 9150512297530943809.79493013628273739882868481 113 6 11.227.7450459827983.316093109705519.753692779085581623227.199926240838944375118303364943404160786444157734\ 80260275067477565243917 114 18 7.11.13.19.19.157.229.3307.8209.62701.114001.129733.905265296671.3178598581687.20526705689989.2141456811167\ 917.884986147755302617.29043636306420266077 115 7 11.47.2531.22621.39891250417.321218438243.33641139003216517508161244299868999433148873412300459726372231642\ 118974160452666995106572871 116 16 5.11.13.29.29.59.1277.24767.368939.378509.1402596253.9533379150437.507127415651053993.3335672988472972523.3\ 9821279284774257217.1084876017544880450377 117 13 11.37.157.6553.36973.80749.477517.17654521.20369233.111704871987697.774101091754693.53639393507525810337720\ 13.18453409033565586419112697648130953 118 10 11.13.709.1063.22067.25232402089.21271304642628211.33565608845417661253.892931082048097905588129990661.5763\ 19092656266231937955277485160608227 119 10 11.239.659.1429.4943.137089.2693651.23082431.74876782031.33876363758168383790211981852120549005187845367983\ 408330311762194319117404851729030929 120 29 5.5.7.11.13.19.29.31.41.61.89.157.193.233.241.421.521.661.9781.19141.20593.22621.35671.127921.2227777.67657\ 441.85403261.186168115009253521.141841649932724596178535977341201 121 10 11.11.11.23.7019.266981089.9971358563.13448069471.36801041190212623908408703917306494049155113.134584409757\ 064878915359991836917880675451536595733 122 9 11.13.111997.1706293.1000831393.7361466337.5188602220069.12158823644892290381600372389012829461.35995548461\ 449237368649937465097120608531155491049 123 6 11.83.157.1977898057.97668924760419986491370101198871.19813560415890713078235802754885301125502289123438021\ 0220638216697707952818607731672501 124 14 5.11.13.29.373.617521.1263499.126883621.23364027983.234187563803.26825115448057.87873272984241400393.384431\ 63532797107825239361.173420475484059478781201647 125 8 11.251.13751.22621.118751.303551.12629757106815551.20205952406669061752169269194433292566654170373750063848\ 39685133690884988810355471332414873000251 126 23 7.7.11.13.19.37.43.127.157.211.659.1657.1801.4943.13063.17011.80749.1885339.79277059.2537121133.81778248431\ 89.27764103747580691401.708391688852136898302887193094373767489 127 4 11.88750555799.2597995311343175210111334225450311.448555430028250336977208710576722637568651467504792196905\ 96162336002077638062228173536814333 128 18 5.11.13.17.29.89.97.233.769.36097.81281.153953.260753.69619841.1200913648289.73389730593973249.444501809976\ 16192602560262634753.77941952137713139794518937770197249 129 8 11.157.431.3784861.12313309.13444466603.32359758358562524963364461.1085519359321015557480968537352630926574\ 094702421889253959355080487956521679317029369 130 17 11.13.13.79.131.19141.22621.36037.37831.222379.477517.20369233.52960051.1932288541.596827590710414051.38346\ 067178495390031121.3417149308806048848886113884045970301001 131 3 11.263.8154452336701997946790890543554664964808697832926141872958752997860762151076929116107953883515304374\ 90847296932822002153819841240735668859 132 28 5.7.11.11.13.19.23.29.67.157.199.1453.2377.3697.5479.6337.20593.109297.219649.886381.1717321.5999137.266981\ 089.661269577.39105782299.57154490053.68368660537.358976694345244191509108377 133 8 11.659.4943.67033.365876351.29043636306420266077.153373238287849222871747653.867787603275036915930138942285\ 82105055028770779566151156583792136083460735911 134 9 11.13.44623.2291803.45464593.16180787699.17577834702049211.14194250210247370482234494581820525581.151867234\ 5938013768669908366811731011574374727044533563648497 135 17 11.37.61.157.661.9781.22621.30781.80749.306829.5234401.21456901.22981681.86769286104133.1171991449748699216\ 3161.45726761961907655567941.937464483504494178640285420770901 136 15 5.11.13.29.89.137.233.2551.2693651.17019338113.74876782031.79471453801.66900193189411.427152748915310957418\ 697.501089808860298305508198111955017967765124897733633407801 137 5 11.7894763.99485649955791433.4270306101158898662140485488376974936909627.1909323323531032592824521040398699\ 34637848025491327073514361270402632428137006957 138 19 7.11.13.19.47.139.157.277.829.8419.12421.22542577.129512587.39891250417.321218438243.49489630860836437.6279\ 903241741823809.348670382471247108491803.44512779475648508632485424501 139 5 11.32830711631.149723271154501574581.13976446202665769757077661403698383112061728500003.1342252293639677786\ 112433290408438740688955155541371153388457379745069 140 24 5.5.11.13.29.71.211.491.659.673.4943.13063.19141.22621.806821.6089651.71874601.85403261.425455031.103655092\ 81.13156924369.1612092376073761.5298455664688950121.86121235964912696227980301 141 7 11.157.3504133.5136890928835357.10617249990997021.4509348865973648037702008076799297.9814237196082693742388\ 7573866630190692479249397249110266970173233791660304869 142 7 11.13.5113.19597.48058613330617.67012200840037529491338272681863005761074227988731301506393709.379848485247\ 97723599443142193849504165878058073506632204903320475097 143 9 11.11.23.477517.20369233.266981089.1068975337.28151299084766629509889009.9671522322865363783490594137718448\ 1442578253854957266622804692882369624823117537634934976433917 144 31 5.7.11.13.17.19.29.37.73.89.97.157.193.233.577.1657.1801.7681.20593.40609.80749.260753.2227777.2231857.2752\ 993.592734049.3684845809.9666387937.122138321401.15670947324691873.253877164546293805845289537 145 10 11.59.22621.24767.368939.8458141.152107892171.2833016858862791.3335672988472972523.185710694432907024929217\ 0779930540291991415466502404994621328170606782147804924588018461 146 8 11.13.439.346059859.6325722879776491.50654608967364071.482571534122030596647601188990898075105644074814931. 10819801896323246322047439823759030271173906614865775084804891 147 11 11.157.659.4943.77617.7622826121.8177824843189.3053140047080689861.29014061524726574502110353.6633662756098\ 833340120457931209406613.27268138641564464649627762762033543154129 148 15 5.11.13.29.149.48989.417509.3933841.5250079.21617621.4150805645839.30023720899326796981.1372147657634326661\ 3693.196560666553286126588980353347341.551930982323870847324371378921584061 149 4 11.11027.1919442572897362836803025134228929025089.269761817023618738054898710331586374089228106297387313320\ 439637456423454632878787306653982674484364732144252564402447 150 28 7.11.13.19.31.61.151.157.421.601.661.1951.2251.9781.19141.22621.35671.60601.73951.303551.395251.1696501.803\ 42401.438472201.6625387201.9733315100252251.12629757106815551.304388904961188288704032230609001 151 3 11.16537237851564688924261407041648853990657743.49717867800323378818763399005960016487476598349539211569747\ 005759153228241911167043200927016884285731030248831349126419 152 16 5.11.13.29.89.233.3307.8209.1977673.7889080897.905265296671.176477034940417.2016864235215616489.29043636306\ 420266077.143529155542303647618953713.443672215974581392068945992638035310614481 153 15 11.37.157.613.3673.80749.2693651.20757613.6128894197.74876782031.1644982406845777.216486853727393579797.532\ 94740218449478902707453.152407927405295101492510321.1510376787258214230993801577 154 17 11.11.13.23.211.463.659.4621.4943.13063.266981089.379101493.57154490053.191199728567.50565974802015289.3049\ 643652382570802424251.131842632495852886908480366996855305097940767587286814024524643 155 11 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