- 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 3.3 2 3 3.3.11 3 4 3.3.3.37 4 4 3.3.11.101 5 4 3.3.41.271 6 7 3.3.3.7.11.13.37 7 4 3.3.239.4649 8 6 3.3.11.73.101.137 9 6 3.3.3.3.37.333667 10 6 3.3.11.41.271.9091 11 4 3.3.21649.513239 12 9 3.3.3.7.11.13.37.101.9901 13 5 3.3.53.79.265371653 14 6 3.3.11.239.4649.909091 15 8 3.3.3.31.37.41.271.2906161 16 8 3.3.11.17.73.101.137.5882353 17 4 3.3.2071723.5363222357 18 11 3.3.3.3.7.11.13.19.37.52579.333667 19 3 3.3.1111111111111111111 20 9 3.3.11.41.101.271.3541.9091.27961 21 9 3.3.3.37.43.239.1933.4649.10838689 22 9 3.3.11.11.23.4093.8779.21649.513239 23 3 3.3.11111111111111111111111 24 12 3.3.3.7.11.13.37.73.101.137.9901.99990001 25 7 3.3.41.271.21401.25601.182521213001 26 8 3.3.11.53.79.859.265371653.1058313049 27 9 3.3.3.3.3.37.757.333667.440334654777631 28 10 3.3.11.29.101.239.281.4649.909091.121499449 29 7 3.3.3191.16763.43037.62003.77843839397 30 15 3.3.3.7.11.13.31.37.41.211.241.271.2161.9091.2906161 31 5 3.3.2791.6943319.57336415063790604359 32 13 3.3.11.17.73.101.137.353.449.641.1409.69857.5882353 33 8 3.3.3.37.67.21649.513239.1344628210313298373 34 8 3.3.11.103.4013.2071723.5363222357.21993833369 35 9 3.3.41.71.239.271.4649.123551.102598800232111471 36 14 3.3.3.3.7.11.13.19.37.101.9901.52579.333667.999999000001 37 5 3.3.2028119.247629013.2212394296770203368013 38 5 3.3.11.909090909090909091.1111111111111111111 39 8 3.3.3.37.53.79.265371653.900900900900990990990991 40 13 3.3.11.41.73.101.137.271.3541.9091.27961.1676321.5964848081 41 6 3.3.83.1231.538987.201763709900322803748657942361 42 17 3.3.3.7.7.11.13.37.43.127.239.1933.2689.4649.459691.909091.10838689 43 6 3.3.173.1527791.1963506722254397.2140992015395526641 44 13 3.3.11.11.23.89.101.4093.8779.21649.513239.1052788969.1056689261 45 12 3.3.3.3.31.37.41.271.238681.333667.2906161.4185502830133110721 46 8 3.3.11.47.139.2531.549797184491917.11111111111111111111111 47 4 3.3.35121409.316362908763458525001406154038726382279 48 15 3.3.3.7.11.13.17.37.73.101.137.9901.5882353.99990001.9999999900000001 49 6 3.3.239.4649.505885997.1976730144598190963568023014679333 50 12 3.3.11.41.251.271.5051.9091.21401.25601.182521213001.78875943472201 51 10 3.3.3.37.613.210631.2071723.52986961.5363222357.13168164561429877 52 11 3.3.11.53.79.101.521.859.265371653.1058313049.1900381976777332243781 53 6 3.3.107.1659431.1325815267337711173.47198858799491425660200071 54 16 3.3.3.3.3.7.11.13.19.37.757.52579.333667.70541929.14175966169.440334654777631 55 10 3.3.41.271.1321.21649.62921.513239.83251631.1300635692678058358830121 56 14 3.3.11.29.73.101.137.239.281.4649.7841.909091.121499449.127522001020150503761 57 8 3.3.3.37.21319.10749631.1111111111111111111.3931123022305129377976519 58 10 3.3.11.59.3191.16763.43037.62003.77843839397.154083204930662557781201849 59 4 3.3.2559647034361.4340876285657460212144534289928559826755746751 60 22 3.3.3.7.11.13.31.37.41.61.101.211.241.271.2161.3541.9091.9901.27961.2906161.4188901.39526741 61 9 3.3.733.4637.329401.974293.1360682471.106007173861643.7061709990156159479 62 7 3.3.11.2791.6943319.57336415063790604359.909090909090909090909090909091 63 16 3.3.3.3.37.43.239.1933.4649.10837.23311.45613.333667.10838689.45121231.1921436048294281 64 17 3.3.11.17.73.101.137.353.449.641.1409.19841.69857.976193.5882353.6187457.834427406578561 65 9 3.3.41.53.79.271.265371653.162503518711.5538396997364024056286510640780600481 66 17 3.3.3.7.11.11.13.23.37.67.4093.8779.21649.513239.599144041.183411838171.1344628210313298373 67 5 3.3.493121.79863595778924342083.28213380943176667001263153660999177245677 68 12 3.3.11.101.103.4013.2071723.28559389.1491383821.5363222357.21993833369.2324557465671829 69 8 3.3.3.37.277.203864078068831.11111111111111111111111.1595352086329224644348978893 70 14 3.3.11.41.71.239.271.4649.9091.123551.909091.4147571.102598800232111471.265212793249617641 71 4 3.3.241573142393627673576957439049.45994811347886846310221728895223034301839 72 20 3.3.3.3.7.11.13.19.37.73.101.137.3169.9901.52579.98641.333667.99990001.999999000001.3199044596370769 73 5 3.3.12171337159.1855193842151350117.49207341634646326934001739482502131487446637 74 9 3.3.11.7253.2028119.247629013.422650073734453.296557347313446299.2212394296770203368013 75 14 3.3.3.31.37.41.151.271.4201.21401.25601.2906161.182521213001.15763985553739191709164170940063151 76 8 3.3.11.101.722817036322379041.909090909090909091.1111111111111111111.1369778187490592461 77 10 3.3.239.4649.5237.21649.42043.513239.29920507.136614668576002329371496447555915740910181043 78 18 3.3.3.7.11.13.13.37.53.79.157.859.6397.216451.265371653.1058313049.388847808493.900900900900990990990991 79 8 3.3.317.6163.10271.307627.49172195536083790769.3660574762725521461527140564875080461079917 80 17 3.3.11.17.41.73.101.137.271.3541.9091.27961.1676321.5070721.5882353.5964848081.19721061166646717498359681 81 15 3.3.3.3.3.3.37.163.757.9397.333667.2462401.440334654777631.676421558270641.130654897808007778425046117 82 9 3.3.11.83.1231.538987.2670502781396266997.3404193829806058997303.201763709900322803748657942361 83 5 3.3.3367147378267.9512538508624154373682136329.346895716385857804544741137394505425384477 84 24 3.3.3.7.7.11.13.29.37.43.101.127.239.281.1933.2689.4649.9901.226549.459691.909091.10838689.121499449.445819\ 2223320340849 85 9 3.3.41.271.2071723.262533041.5363222357.8119594779271.4222100119405530170179331190291488789678081 86 10 3.3.11.173.1527791.57009401.2182600451.1963506722254397.2140992015395526641.7306116556571817748755241 87 12 3.3.3.37.3191.4003.16763.43037.62003.72559.77843839397.310170251658029759045157793237339498342763245483 88 17 3.3.11.11.23.73.89.101.137.617.4093.8779.21649.513239.1052788969.1056689261.1620583484601296758492708265640\ 2106953 89 7 3.3.497867.103733951.104984505733.5078554966026315671444089.403513310222809053284932818475878953159 90 24 3.3.3.3.7.11.13.19.31.37.41.211.241.271.2161.9091.29611.52579.238681.333667.2906161.3762091.8985695684401.4\ 185502830133110721 91 14 3.3.53.79.239.547.4649.14197.17837.4262077.265371653.43442141653.316877365766624209.11074218647053005429131\ 8013 92 12 3.3.11.47.101.139.1289.2531.18371524594609.549797184491917.11111111111111111111111.418100330007166986793265\ 8901 93 8 3.3.3.37.2791.6943319.57336415063790604359.900900900900900900900900900900990990990990990990990990990991 94 8 3.3.11.6299.35121409.4855067598095567.297262705009139006771611927.316362908763458525001406154038726382279 95 10 3.3.41.191.271.59281.63841.1111111111111111111.1289981231950849543985493631.9651946171216407914560703479517\ 51 96 24 3.3.3.7.11.13.17.37.73.97.101.137.353.449.641.1409.9901.69857.206209.5882353.99990001.66554101249.751183130\ 82913.9999999900000001 97 5 3.3.12004721.846035731396919233767211537899097169.109399846855370537540339266842070119107662296580348039 98 10 3.3.11.197.239.4649.909091.505885997.1976730144598190963568023014679333.50761416243655329949187817263959390\ 35533 99 14 3.3.3.3.37.67.199.397.21649.34849.333667.513239.1344628210313298373.362853724342990469324766235474268869786\ 311886053883 100 19 3.3.11.41.101.251.271.3541.5051.9091.21401.25601.27961.60101.7019801.182521213001.14103673319201.7887594347\ 2201.1680588011350901 101 5 3.3.4531530181816613234555190841.129063282232848961951985354966759.18998088572819375252842078421374368604969 102 18 3.3.3.7.11.13.37.103.613.4013.210631.2071723.52986961.5363222357.21993833369.291078844423.13168164561429877. 377526955309799110357 103 5 3.3.1031.7034077.153211620887015423991278431667808361439217294295901387715486473457925534859044796980526236\ 853 104 15 3.3.11.53.73.79.101.137.521.859.1580801.265371653.1058313049.1900381976777332243781.63252744020215074509062\ 2412245443923049201 105 19 3.3.3.31.37.41.43.71.239.271.1933.4649.123551.2906161.10838689.30703738801.625437743071.102598800232111471. 57802050308786191965409441 106 8 3.3.11.107.1659431.1325815267337711173.47198858799491425660200071.90909090909090909090909090909090909090909\ 09090909091 107 10 3.3.643.999809.9885089.215257037.2386760191.511399538427507881.646826950155548399.1028807946722253879130231\ 1556310051849 108 22 3.3.3.3.3.7.11.13.19.37.101.109.757.9901.52579.153469.333667.70541929.14175966169.999999000001.440334654777\ 631.59779577156334533866654838281 109 6 3.3.1192679.712767480971213008079.5295275348767234696493.24682974398435543596240839091037821853728210515008\ 6881669547 110 20 3.3.11.11.23.41.271.331.1321.4093.5171.8779.9091.21649.62921.513239.83251631.20163494891.318727841165674579\ 776721.1300635692678058358830121 111 11 3.3.3.37.37.2028119.247629013.30557051518647307.2212394296770203368013.8845981170865629119271997.9007781439\ 6055017938257237117 112 19 3.3.11.17.29.73.101.113.137.239.281.4649.7841.909091.5882353.121499449.73765755896403138401.127522001020150\ 503761.119968369144846370226083377 113 5 3.3.227.908191467191.53895712312217719065267103426685397298498705173449226555003346881878523705781079015749\ 721646701723 114 14 3.3.3.7.11.13.37.21319.1458973.10749631.909090909090909091.1111111111111111111.3931123022305129377976519.75\ 3201806271328462547977919407 115 10 3.3.41.271.31511.19707665921.20414137203567631.11111111111111111111111.5799951513941382144830754391.1224035\ 69491783662720773144041 116 15 3.3.11.59.101.349.3191.16763.38861.43037.62003.618049.77843839397.154083204930662557781201849.1181180637520\ 1836408679635736258669583187541 117 14 3.3.3.3.37.53.79.333667.265371653.240396841140769.537947698126879.3352825314499987.900900900900990990990991. 2304017384484085131816292573 118 8 3.3.11.1889.2559647034361.1090805842068098677837.4411922770996074109644535362851087.43408762856574602121445\ 34289928559826755746751 119 10 3.3.239.4649.923441.2071723.5363222357.3924966376871.768736559421401249042753476963.32301294214856275165081\ 4544437350454640448842187 120 28 3.3.3.7.11.13.31.37.41.61.73.101.137.211.241.271.2161.3541.9091.9901.27961.1676321.2906161.4188901.39526741. 99990001.5964848081.100009999999899989999000000010001 121 8 3.3.15973.21649.38237.274187.513239.59714917620953041236079539149765734015994342199250253823083148168223296\ 9649167277637825641074323 122 12 3.3.11.733.4637.81131.329401.974293.1360682471.106007173861643.7061709990156159479.112052225301168368553215\ 28257890437575145023592596037161 123 12 3.3.3.37.83.1231.538987.1811791.626920594693.9425856976319889649.201763709900322803748657942361.84146400034\ 65161203119978906558054839526493 124 10 3.3.11.101.2791.2049349.6943319.57336415063790604359.909090909090909090909090909091.48312854955451223730555\ 4588359039822397307149685578249 125 11 3.3.41.271.751.21401.25601.1797655751.182521213001.176144543406001.4205177580495630455981085900830581997519\ 9677041099230574273451704628125001 126 28 3.3.3.3.7.7.11.13.19.37.43.127.239.1933.2689.4649.10837.23311.45613.52579.333667.459691.909091.5274739.1083\ 8689.45121231.1921436048294281.189772422673235585874485732659 127 5 3.3.18797.90679.6518718497852438209581196842331429821705369381473495010499558754235443718885196321031597538\ 36519854149224951224466197 128 20 3.3.11.17.73.101.137.353.449.641.1409.19841.69857.976193.5882353.6187457.1265011073.834427406578561.1534316\ 8188889137818369.515217525265213267447869906815873 129 11 3.3.3.37.173.1527791.210769832431.1963506722254397.2140992015395526641.407429732767505248479163.10490974994\ 611747848197172839956039870723832569747 130 15 3.3.11.41.53.79.131.271.859.9091.265371653.1058313049.162503518711.5538396997364024056286510640780600481.83\ 96862596258693901610602298557167100076327481 131 11 3.3.80173.109517.141811693.446790173.7370364319027.15594845538029429933.7317723970031057677693.131758351065\ 116151205213.180222062287834025451247081 132 25 3.3.3.7.11.11.13.23.37.67.89.101.4093.8779.9901.21649.513239.599144041.1052788969.1056689261.5419170769.183\ 411838171.789390798020221.2361000305507449.1344628210313298373 133 8 3.3.239.1597.4649.2021015460335957.1111111111111111111.2788482998620431437549076793905857765163930062352097\ 86029420958416508667488018611321233079 134 7 3.3.11.493121.79863595778924342083.28213380943176667001263153660999177245677.909090909090909090909090909090\ 909090909090909090909090909090909091 135 20 3.3.3.3.3.31.37.41.271.757.238681.333667.1577071.2906161.16357951.310362841.258360989311.440334654777631.41\ 85502830133110721.483418418597220677238517353915231961831 136 16 3.3.11.73.101.103.137.4013.2071723.28559389.152533657.1491383821.5363222357.21993833369.2324557465671829.65\ 552746171882583264230070868884366877803237222654400793 137 7 3.3.2467.2535528323.1029879756928762117455431.140175894162990609843314797.123043880137417667485877804096702\ 26810319992722055173127328805633899245853 138 18 3.3.3.7.11.13.37.47.139.277.2531.31051.143574021480139.203864078068831.549797184491917.11111111111111111111\ 111.24649445347649059192745899.1595352086329224644348978893 139 4 3.3.119124859925363.932728157504043594282003041661807385390618120638384597314097345431032571052315101287361\ 4569275960380714495413018734336834397 140 25 3.3.11.29.41.71.101.239.271.281.421.3541.4649.9091.27961.123551.909091.3471301.4147571.13489841.121499449.6\ 0368344121.102598800232111471.265212793249617641.848654483879497562821 141 9 3.3.3.37.283.35121409.721030498171501831.316362908763458525001406154038726382279.44150634648836004848211413\ 5141919313523563714948107161215664533500695867 142 7 3.3.11.290249.241573142393627673576957439049.45994811347886846310221728895223034301839.31321069464181068355\ 415209323405389541706979493156189716729115659 143 11 3.3.53.79.21649.513239.2823679.180523201.265371653.47428676444591705727929369346443.37226581283489953701472\ 184267606576037130878873797366013283473311751294203 144 25 3.3.3.3.7.11.13.17.19.37.73.101.137.3169.8929.9901.52579.98641.333667.5882353.99990001.999999000001.3199044\ 596370769.9999999900000001.111994624258035614290513943330720125433979169 145 13 3.3.41.271.3191.16763.43037.62003.9605671.77843839397.15589280974996818911.80684370001269698853996151670133\ 742711.744909731145732233993613931089059528977143716201 146 9 3.3.11.293.12171337159.1855193842151350117.10826684964539959837294043117.2865788889761949979999225923309086\ 02103011.49207341634646326934001739482502131487446637 147 16 3.3.3.37.43.239.1933.4649.63799.4715467.10838689.505885997.267652966241599.2603941883787374089.197673014459\ 8190963568023014679333.4769337181464959147997704753876850429427 148 16 3.3.11.101.149.3109.7253.111149.2028119.247629013.708840373781.422650073734453.296557347313446299.669031686\ 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