Factorisations Of Cunningham Numbers C-(11,n) = 11^n - 1 Canonical Representation Of Factorisations 1. Factorisations are given from smallest to largest factor, with a period '.' separating factors. 2. Multiplicity of factors is indicated with the carat '^' in ascii tradition for the text version of the tables but not the HTML version. 3. 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. Notation Used In The Tables 1. #Fac is the number of (non distinct) prime factors in an expression. 2. A plussed #Fac means that more prime factors exist but they are unknown due to an unfactored composite in the expression. ======================================================================================================================== n #Fac Factorisation 1 2 2.5 2 5 2^3.3.5 3 4 2.5.7.19 4 7 2^4.3.5.61 5 4 2.5^2.3221 6 9 2^3.3^2.5.7.19.37 7 4 2.5.43.45319 8 9 2^5.3.5.61.7321 9 5 2.5.7.19.1772893 10 8 2^3.3.5^2.3221.13421 11 4 2.5.15797.1806113 12 13 2^4.3^2.5.7.13.19.37.61.1117 13 4 2.5.1093.3158528101 14 8 2^3.3.5.43.45319.1623931 15 7 2.5^2.7.19.3221.195019441 16 12 2^6.3.5.17.61.7321.6304673 17 3 2.5.50544702849929377 18 12 2^3.3^3.5.7.19.37.590077.1772893 19 3 2.5.6115909044841454629 20 11 2^4.3.5^2.61.3221.13421.212601841 21 10 2.5.7^2.19.43.1723.8527.27763.45319 22 11 2^3.3.5.23.89.199.15797.58367.1806113 23 5 2.5.829.28878847.3740221981231 24 17 2^5.3^2.5.7.13.19.37.61.1117.7321.10657.20113 25 8 2.5^3.3001.3221.24151.1856458657451 26 10 2^3.3.5.53.911.1093.59583967.3158528101 27 6 2.5.7.19.1772893.5559917315850179173 28 13 2^4.3.5.29.43.61.1933.45319.1623931.55527473 29 4 2.5.523.303309617049998388989376043 30 15 2^3.3^2.5^2.7.19.31.37.3221.13421.7537711.195019441 31 5 2.5.50159.2428541.157571957584602258799 32 15 2^7.3.5.17.61.7321.51329.6304673.447600088289 33 9 2.5.7.19.661.1453.15797.1806113.637265428480297 34 9 2^3.3.5.71707.264793.2218331.50544702849929377 35 8 2.5^2.43.211.3221.45319.42437717969530394595211 36 17 2^4.3^3.5.7.13.19.37.61.1117.590077.1772893.3138426605161 37 6 2.5.2591.36855109.136151713.2615418118891695851 38 10 2^3.3.5.191.229.83791.1390636259.6115909044841454629 39 12 2.5.7.19.79.157.547.1093.84631.480091.32508061.3158528101 40 15 2^5.3.5^2.41.61.3221.7321.13421.212601841.1120648576818041 41 9 2.5.83.1231.27061.509221.14092193.29866451.840139875599 42 17 2^3.3^2.5.7^2.19.37.43.1723.8527.27763.45319.1623931.3421169496361 43 4 2.5.1416258521793067.42534656091583268045915654719 44 15 2^4.3.5.23.61.89.199.15797.58367.251857.1806113.2649263870814793 45 9 2.5^2.7.19.3221.1772893.195019441.9842332430037465033595921 46 12 2^3.3.5.47.829.1013.241363.28878847.3740221981231.6493405343627 47 5 2.5.2069.22666879066355177.18806327041824690595747113889 48 24 2^6.3^2.5.7.13.17.19.37.61.97.241.1117.1777.7321.10657.20113.6304673.1106131489 49 7 2.5.43.45319.510810301.1065264019.100641220283951395639601683 50 14 2^3.3.5^3.3001.3221.13421.24151.46601.1856458657451.14436295738510501 51 9 2.5.7.19.10711.457315063.15085812853.25994736109.50544702849929377 52 13 2^4.3.5.53.61.911.1093.59583967.3158528101.9768997162071483134919121 53 6 2.5.107.351497.6005113.6918082374901313855125397665325977135579 54 16 2^3.3^4.5.7.19.37.379.590077.1772893.4889988840047743.5559917315850179173 55 10 2.5^2.3221.15797.25301.39161.1806113.643170158708221.645654335737185721 56 19 2^5.3.5.29.43.61.113.449.1933.2521.7321.45319.1623931.55527473.77001139434480073 57 8 2.5.7.19^2.1047623475541.6115909044841454629.1412900479108654932024439 58 10 2^3.3.5.59.523.10979607179423.204064664440913.303309617049998388989376043 59 5 2.5.1181.70845409351.33083146850190391025301565142735000331370209599 60 21 2^4.3^2.5^2.7.13.19.31.37.61.1117.3221.13421.7537711.195019441.212601841.46329453543600481 61 5 2.5.440177.520518327319589.1461808298382111034194027645506019619578037 62 12 2^3.3.5.311.1303.10789.50159.2428541.157571957584602258799.3658524738455131951223 63 16 2.5.7^2.19.43.127.1723.8317.8527.27763.45319.867259.1772893.106431697.316825425410373433 64 19 2^8.3.5.17.61.193.257.7321.51329.6304673.447600088289.21283620033217629539178799361 65 8 2.5^2.131.1093.3221.3158528101.673267426712748387612994804392183645147042355211 66 22 2^3.3^2.5.7.19.23.37.67.89.199.661.1453.9439.15797.58367.991651.1806113.1169382127.637265428480297 67 6 2.5.15277.2160349.76394148218203559.235335702141939072378977155172505285655211 68 15 2^4.3.5.61.137.71707.264793.2218331.2481791513.9598959833.641625222857.50544702849929377 69 10 2.5.7.19.139.829.28878847.8209475377.3740221981231.5283012903770196631383821046101707 70 19 2^3.3.5^2.43.71^2.211.3221.7561.13421.17011.45319.1623931.1649341.10047871.42437717969530394595211 71 7 2.5.1847.64327.159248456569.1273880539247.360426336941693434048414944508078750920763 72 24 2^5.3^3.5.7.13.19.37.61.73.1117.7321.10657.20113.40177.590077.1772893.3138426605161.3358335487319458201 73 3 2.5.1051153199500053598403188407217590190707671147285551702341089650185945215953 74 11 2^3.3.5.2591.36855109.136151713.2615418118891695851.2691614274040036601.10527743181888260981 75 15 2.5^3.7.19.151.3001.3221.24151.59302051.195019441.1826934301.1856458657451.27665283091695977275201 76 14 2^4.3.5.61.191.229.83791.1390636259.1990415149.6115909044841454629.15403468930064931175264655869 77 8 2.5.43.15797.45319.1806113.593554036769.466345922275629775763320748688970211803553256223529 78 23 2^3.3^2.5.7.19.37.53.79.157.313.547.911.1093.63649.84631.480091.32508061.59583967.3158528101.53895302396194\ 3033 79 5 2.5.317.185277551100523662054683911.31705898389348622756718888962810730367411163041955447 80 20 2^6.3.5^2.17.41.61.3221.5281.7321.13421.6304673.212601841.1120648576818041.399806412551699044818733915681 81 9 2.5.7.19.1772893.139026457.5559917315850179173.14010692617072784593.88236431987113771637099217013 82 15 2^3.3.5.83.1231.27061.509221.14092193.29866451.711628063.840139875599.1216150172449.479378523680060338823 83 7 2.5.167.12119.178057577.52447614013.1442525225996981034595894901431683672700025887063977893738081 84 26 2^4.3^2.5.7^2.13.19.29.37.43.61.1117.1723.1933.8527.19069.27763.45319.1623931.55527473.3421169496361.520799\ 717831587692709 85 8 2.5^2.3221.584916791.553393500180551.50544702849929377.12520270706155176007034654722092907499983681 86 9 2^3.3.5.5333.1416258521793067.42534656091583268045915654719.9413099125139413690486707432096974989067 87 9 2.5.7.19.523.398113.54415717.303309617049998388989376043.873360172275048609080552096817243827525632861 88 21 2^5.3.5.23.61.89.199.353.7321.15797.58367.72689.251857.1806113.13585441.2649263870814793.129825679438716999\ 6154165633 89 6 2.5.73111721.2103114787086589.4180235017418376525776333.75144689824702198592013444969850173811994737 90 22 2^3.3^3.5^2.7.19.31.37.181.631.3221.13421.590077.1772893.7537711.195019441.86306335830799838011.98423324300\ 37465033595921 91 7 2.5.43.1093.45319.3158528101.868721697058567435824108245607127696076153182930226460514053403127306646961 92 18 2^4.3.5.47.61.829.1013.201757.241363.28878847.2004414397.3740221981231.6493405343627.24737721275161.6569432\ 72596448809 93 10 2.5.7.19.2791.3163.50159.2428541.157571957584602258799.3137876238000684620152119068677936364954475597711271\ 1197 94 12 2^3.3.5.2069.844309.549524471.26097456317.22666879066355177.60699948346804199382437.18806327041824690595747\ 113889 95 8 2.5^2.3221.67989221.6115909044841454629.180124441029509240214675551.709366429143448333528137335486039060202\ 91 96 29 2^7.3^2.5.7.13.17.19.37.61.97.241.577.1117.1777.7321.10657.20113.51329.6304673.1106131489.447600088289.3659\ 233404740477018363752843393 97 5 2.5.389.4247091263.6266849507589571978149106488222106980975381364824424072801340422775737133656105189072051 98 15 2^3.3.5.43.11467.45319.800171.1623931.176784259.510810301.1065264019.33761096386802842263303497.10064122028\ 3951395639601683 99 14 2.5.7.19.397.661.1453.2377.15797.1772893.1806113.1240500097.637265428480297.2599071362839584231023974669237\ 98834567695212357 100 20 2^4.3.5^3.61.101.3001.3221.13421.24151.46601.212601841.1856458657451.2248313994601.14436295738510501.199309\ 9906542710819727884501 101 5 2.5.341459085477993311443.86408339296208914807632672776254957729.513767785847095403363378495505038747238330\ 8083 102 20 2^3.3^2.5.7.19.37.103.10711.71707.264793.1348033.2218331.457315063.15085812853.25994736109.5054470284992937\ 7.16576413357576409067287639 103 6 2.5.24103.37723802531.995301206162659155091.202677471366153865787391434710952643545087969532720827000553398\ 46745091 104 16 2^5.3.5.53.61.911.1093.7321.59583967.3158528101.9768997162071483134919121.970106078298260708735599372683605\ 84022789501553441 105 21 2.5^2.7^2.19.43.211.421.1723.3221.8527.27763.45319.540751.599551.2598121.126713791.195019441.23731414400247\ 02184811.42437717969530394595211 106 13 2^3.3.5.107.1697.351497.5353637.6005113.17148893.8357265774463208206521728596439861293.69180823749013138551\ 25397665325977135579 107 5 2.5.1276033068038437.304971297664201988898688683700564748747693245597.6900751922429791724019506627192737704\ 11957106853 108 25 2^4.3^4.5.7.13.19.37.61.109.379.541.1117.590077.1772893.388174681.3138426605161.4889988840047743.5559917315\ 850179173.1350472353550875103121929 109 4 2.5.35970728459102446279558069.9033445926510666398384928207099769878625683305416602322341095021068020592318\ 51745003701 110 23 2^3.3.5^2.23.89.199.3221.4951.13421.15797.25301.39161.58367.411841.1806113.21537414911.85480219991.13152598\ 3711.643170158708221.645654335737185721 111 10 2.5.7.19.2591.36855109.136151713.2615418118891695851.651950416864148392635280596760630561.13334983829534655\ 64843320786357871664401 112 26 2^6.3.5.17.29.43.61.113.337.449.1933.2521.7321.45319.394129.1623931.6304673.55527473.77001139434480073.2363\ 52238647181441.3090443962383595123379137 113 7 2.5.227.45902861.20884152591287817709.22455907106840364577416382241618449.973554682812876324986927406779613\ 27574083833285959459 114 20 2^3.3^2.5.7.19^2.37.191.229.6043.75013.83791.1390636259.1047623475541.6115909044841454629.14129004791086549\ 32024439.74337838382167137728921322559 115 12 2.5^2.829.3221.95911.333041.9964291.28878847.3740221981231.17184010031686356151.729842693308300425195832421\ 6375350400730975973787843051 116 16 2^4.3.5.59.61.349.523.16585333.32637413.10979607179423.204064664440913.303309617049998388989376043.10918187\ 7624126996017801852385627698243261 117 16 2.5.7.19.79.157.547.1093.9127.84631.480091.1772893.1810693.32508061.3158528101.5777953519959062358597260246\ 2371982722687354954780675870640496251 118 12 2^3.3.5.1181.22067.70845409351.32833036072593109.59845177539010249.53199025841281128499153.3308314685019039\ 1025301565142735000331370209599 119 9 2.5.43.239.45319.20580793913.50544702849929377.5787647502138040836760695667.3005681893232976654385404271528\ 23770594407695480022422691549 120 29 2^5.3^2.5^2.7.13.19.31.37.41.61.1117.3221.7321.10657.13421.20113.7537711.195019441.212601841.52020741601.11\ 20648576818041.46329453543600481.40589999671017742452961 121 8 2.5.15797.30977.1806113.1595696213.12407691244609.582793661124452623809041107212020076078733754671394043885\ 9172127240114655549487246036729 122 11 2^3.3.5.440177.53320740257.520518327319589.137218978667473446671.38147158686655703132426388314683.146180829\ 8382111034194027645506019619578037 123 15 2.5.7.19.83.1231.27061.174907.509221.14092193.28385941.29866451.840139875599.142971820992006871646588679396\ 397417.262535239929018061575878552691659119 124 16 2^4.3.5.61.311.1303.10789.50159.2428541.157571957584602258799.3658524738455131951223.4311672901046383796549. 70039146133823870629334170297294343364149 125 12 2.5^4.3001.3221.24151.1632185486501.1856458657451.27678437808551251.610080895141084967819354988677284050229\ 269951248774263726574682822715310251 126 29 2^3.3^3.5.7^2.19.37.43.127.1723.8317.8527.27763.45319.590077.867259.1623931.1772893.3304981.106431697.46884\ 3103.71596275661.278853374647.3421169496361.316825425410373433 127 6 2.5.2985212831443.6073732108394141.108345618426999904901.91966303295251191104971960132273397364144023351465\ 750399992554753980589155137853599 128 22 2^9.3.5.17.61.193.257.7321.51329.6304673.447600088289.316955440822738177.21283620033217629539178799361.7032\ 401262704707649518767703756385761576062060673 129 12 2.5.7.19.1549.1389891409.2338110553.44012945778511.1416258521793067.3440126314390780951.4253465609158326804\ 5915654719.3579868931117378066463082728904957 130 18 2^3.3.5^2.53.131.911.1093.1301.3221.13421.25741.59583967.3158528101.316032713956951363848523051612091912095\ 7201.673267426712748387612994804392183645147042355211 131 5 2.5.263.7791763956749016154215607697892626144401.1290774032138704646634687668236941308305597514202044201343\ 330196757304660698533426132941183587 132 30 2^4.3^2.5.7.13.19.23.37.61.67.89.199.661.1117.1453.9439.15797.58367.251857.991651.1806113.1169382127.986309\ 9401.637265428480297.2649263870814793.46266666682081629547022793157801 133 9 2.5.43.45319.292601.1889399.4085166784889.6115909044841454629.118907173249316196764766639893383431910454776\ 99764476320956042082843152214319805595150031 134 15 2^3.3.5.269.15277.181303.2160349.2354458793.2778466094669.76388592846687031.76394148218203559.2028834791377\ 4902979279.235335702141939072378977155172505285655211 135 12 2.5^2.7.19.271.3221.1772893.195019441.5559917315850179173.9842332430037465033595921.35261764476828649109379\ 34141934983258605489440194538631398471107422118591 136 22 2^5.3.5.61.137.409.7321.11969.71707.264793.2218331.2481791513.9598959833.641625222857.739755736441.14387579\ 997041.50544702849929377.85554906358182623545481335980971521 137 8 2.5.8221.339761.3677081.136238281.394711476243912154244261783.848433067196473533441008868772447888723971966\ 6748414214743814637516122598288562123255444499 138 24 2^3.3^2.5.7.19.37.47.139.691.829.1013.241363.28878847.394648951.8209475377.18013255921.932225927887.1577386\ 579003.3740221981231.6493405343627.5283012903770196631383821046101707 139 3 2.5.5670002325217957396258282812671713444868053858812175750811496601630462174655445733557105920797699326519\ 89153833612198334843467861091902034340949 140 27 2^4.3.5^2.29.43.61.71^2.211.1933.3221.7561.13421.17011.45319.1623931.1649341.2970941.10047871.55527473.2126\ 01841.42437717969530394595211.32925268156330499785365829732750601117816501 141 11 2.5.7.19.283.2069.64192789.22666879066355177.44682948968412414039336007.18806327041824690595747113889.72052\ 0357109665867690144695251088293221239815545113983062729 142 13 2^3.3.5.1847.64327.149852362577.159248456569.1273880539247.5604196051154865381517.8620302099267300875307522\ 246691084877239.360426336941693434048414944508078750920763 143 11 2.5.1093.3433.15797.1806113.3158528101.3111663528084541.191144869353686249.39087214421959708068637.10560044\ 15999653050515555650243045564974450864216443757878943069209 144 34 2^6.3^3.5.7.13.17.19.37.61.73.97.241.1117.1777.7321.10657.20113.40177.110161.331921.590077.1772893.6304673. 1106131489.3138426605161.3358335487319458201.2653299576575651630603169124592864247361 145 9 2.5^2.523.3221.38861.303309617049998388989376043.144801130358116982559692328954495371.698722655477495663987\ 35989506862167022001782100339822496855955029149120537231 146 11 2^3.3.5.668243.147031637.51866303408957.9863258277206753.17427450503923264964680282877251.10511531995000535\ 98403188407217590190707671147285551702341089650185945215953 147 18 2.5.7^3.19.43.1723.6469.8527.27763.45319.510810301.1065264019.712319250521341.100641220283951395639601683.1\ 965320765521339221407672989.47308830867884337106882967022636501737563 148 19 2^4.3.5.61.149.2591.36855109.136151713.243595717.254246981.3275634569.5555901630889277.2615418118891695851. 2691614274040036601.10527743181888260981.5643352212924479303509278380689 149 5 2.5.95648167.12386903337067381971073.1241282659500942542539965403632224808573534304000671361787961120013460\ 1672845647842944137821392676638302799638797945820321999 150 28 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