Factorisations Of Cunningham Numbers C+(12,n) = 12^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 1 13 2 2 5.29 3 3 7.13.19 4 2 89.233 5 2 13.19141 6 3 5.29.20593 7 3 13.211.13063 8 3 17.97.260753 9 5 7.13.19.1657.1801 10 4 5^2.29.85403261 11 2 13.57154490053 12 4 89.193.233.2227777 13 5 13^2.79.36037.222379 14 4 5.29.673.13156924369 15 7 7.13.19.31.421.19141.35671 16 2 153953.1200913648289 17 3 13.2551.66900193189411 18 5 5.29.73.20593.122138321401 19 4 13.3307.8209.905265296671 20 6 41.89.233.521.127921.67657441 21 9 7^2.13.19.43.211.13063.17011.1885339 22 6 5.29.2377.3697.6337.68368660537 23 4 13.829.12421.49489630860836437 24 6 17.97.7681.40609.260753.592734049 25 6 13.1951.19141.60601.73951.438472201 26 5 5.29.53.677.2200289654266792155913 27 10 7.13.19.109.271.487.1657.1801.39097.47336293 28 3 89.233.79493013628273739882868481 29 3 13.1402596253.1084876017544880450377 30 6 5^2.29.20593.85403261.186168115009253521 31 3 13.1263499.173420475484059478781201647 32 2 769.44450180997616192602560262634753 33 9 7.13.19.67.199.1453.5479.39105782299.57154490053 34 4 5.29.79471453801.427152748915310957418697 35 5 13.211.13063.19141.86121235964912696227980301 36 7 89.193.233.2227777.2231857.3684845809.9666387937 37 4 13.5250079.4150805645839.30023720899326796981 38 5 5.29.1977673.176477034940417.2016864235215616489 39 11 7.13^2.19.79.313.859.36037.222379.17793645013.17991125491 40 4 17.97.260753.34182189107670005092862256297738241 41 5 13.12301.1684652527.13657436942593.47936660465075191 42 6 5.29.673.20593.13156924369.80048881834094656438235281 43 5 13.71209.372060253.10273420681.7177727914895266742809 44 4 89.233.67651673.217245283970973197278039678825711337 45 12 7.13.19.31.181.421.1657.1801.19141.35671.47263556341.9298142299081 46 3 5.29.302669957628317561107372328495588758678132736113 47 5 13.18049.12349627.21622395121.8405516927437711741762092271 48 5 7489.153953.3122881.1200913648289.1461573322938242802306049 49 5 13.211.13063.8356734198817312279063.253265324522131745115559 50 10 5^3.29.101.1201.85403261.700936801.2334798291701.14807687049800501 51 9 7.13.19.103.307.2551.66900193189411.380355066717049.3077130526103089 52 5 89.233.288913.25265657.865727447657645665290857439836665912121 53 5 13.3181.33073.77366539.14861828970617714166257633556559606415803 54 10 5.29.73.433.3889.20593.42729553.122138321401.165042892009.59686188135337 55 7 13.331.6271.19141.57154490053.164018234982236911.46768482029635739671 56 9 17.97.113.2129.244721.260753.527633.22232950788588289.9150512297530943809 57 11 7.13.19^2.229.3307.8209.62701.905265296671.3178598581687.884986147755302617 58 8 5.29^2.1277.378509.9533379150437.507127415651053993.39821279284774257217 59 6 13.709.1063.25232402089.21271304642628211.892931082048097905588129990661 60 10 41.89.193.233.241.521.127921.2227777.67657441.141841649932724596178535977341201 61 5 13.111997.7361466337.5188602220069.12158823644892290381600372389012829461 62 6 5.29.617521.26825115448057.87873272984241400393.38443163532797107825239361 63 15 7^2.13.19.43.127.211.1657.1801.13063.17011.1885339.79277059.2537121133.27764103747580691401 64 5 36097.81281.69619841.73389730593973249.77941952137713139794518937770197249 65 9 13^2.79.19141.36037.37831.222379.52960051.3417149308806048848886113884045970301001 66 11 5.29.2377.3697.6337.20593.109297.219649.1717321.68368660537.358976694345244191509108377 67 4 13.44623.2291803.1518672345938013768669908366811731011574374727044533563648497 68 5 89.137.233.17019338113.501089808860298305508198111955017967765124897733633407801 69 12 7.13.19.139.277.829.8419.12421.22542577.129512587.49489630860836437.348670382471247108491803 70 10 5^2.29.673.71874601.85403261.10365509281.13156924369.1612092376073761.5298455664688950121 71 3 13.48058613330617.67012200840037529491338272681863005761074227988731301506393709 72 10 17.97.577.7681.40609.260753.2752993.592734049.15670947324691873.253877164546293805845289537 73 5 13.439.346059859.6325722879776491.482571534122030596647601188990898075105644074814931 74 8 5.29.149.48989.417509.21617621.13721476576343266613693.551930982323870847324371378921584061 75 17 7.13.19.31.151.421.1951.2251.19141.35671.60601.73951.395251.1696501.438472201.6625387201.9733315100252251 76 5 89.233.7889080897.143529155542303647618953713.443672215974581392068945992638035310614481 77 6 13.211.463.13063.57154490053.131842632495852886908480366996855305097940767587286814024524643 78 9 5.29.53.677.20593.3247609.23709901801.2200289654266792155913.82644067439828397206172427185362929 79 4 13.5434599708664429598203.270354982362100782692527.942482178219527648423785970493560472433 80 6 2081.153953.1200913648289.2478806527025281.214538593513800809975201.1055795013932440451117008321 81 15 7.13.19.109.163.271.487.811.1621.1657.1801.39097.47336293.641065152502677063709.137370551967460020621819248\ 641 82 3 5.29.214533033468609789881587657414964984600266163775345550678274661735237806832526209302641 83 5 13.499.8305623819547.5277826961453441457872455753.1312720053239325314331064215313762367151994237 84 9 89.193.233.337.10753.2227777.284065793761.79493013628273739882868481.6139630946836199128444927909913041 85 8 13.2551.19141.235111.32182021.66900193189411.182593435609480192119451.916196619837593976916862387956861 86 8 5.29.173.195049.1260760517.247819688992536197.881572852017880141483757.478633080942750137752934449682953 87 8 7.13.19.1402596253.2032959451.1084876017544880450377.1390046661396154093141.1041124183332323306521144052251 88 8 17.97.260753.2481601.6188868577.49514757601.8200539405448794297995729.34640120157480929169754956126514097 89 4 13.7477.572511347126394968679427.20029774803390781007927452919681748300758231180524216087657680800539 90 11 5^2.29.73.20593.85403261.122138321401.1653489395093881.33276147172349761.186168115009253521.114859125525232\ 035721 91 12 13^2.79.211.1093.13063.36037.44773.222379.2322926580703.2620222710234691381.1827265954216126959080718883472\ 410765663 92 6 89.233.23369.36433.44805941084686008411833430562841.2434770565625247333181980245955647341839167211213366673 93 9 7.13.19.5209.1263499.24221034391.1188277798029874021.173420475484059478781201647.40693082365674825262707613\ 4956471 94 9 5.29.941.1129.6581.56078144420933.1645156433564398201.19141017664453895628642529.15492724965041071222101891\ 6838829 95 7 13.3307.8209.19141.905265296671.251831088886489381.21612287344803072612417196479082422651865054035215380768\ 53961 96 9 769.1153.2689.4993.22273.3124609.3531754753.44450180997616192602560262634753.307081134731879440743153282892\ 657658881 97 3 13.322429.1143413769784708491787247879791966460488800819429687164249226318913644100531909245433486204861816\ 09 98 7 5.29.197.673.13156924369.81667460066590930293917.2784257466657124843676329512241863413608786552394756380516\ 76765233 99 15 7.13.19.67.199.1453.1657.1801.2971.5479.39105782299.57154490053.5690162377645219.43504476926662819.76659283\ 352997582300893022139 100 10 41.89.233.521.15601.55201.127921.67657441.9880627023929801.253872579588408232135438950058093675410533524542\ 61365941425001 101 4 13.1213.21211.297125929725306633228309661030035078698768684274441529961336429837283579279731619948943622918\ 30991307 102 8 5.29.409.20593.615782161.79471453801.427152748915310957418697.467148222128757505420823506581996118930777948\ 9369909526569 103 8 13.1237.289765369.1003041977479.13561251678157.987452638049443.237720321284227801429.9618499868483807754411\ 3595020417341221 104 7 17.97.260753.3946177.235590161.2394253229201412644716539488455823024969393.17943031838823581369605788619131\ 951827982960001 105 18 7^2.13.19.31.43.211.421.1471.13063.17011.19141.35671.641761.1885339.133835330443229101.46199145931519207045\ 842151.86121235964912696227980301 106 7 5.29.8693.35617.317789.1386570848451637577834086609.1250075193865431356627425537830997977965246711961125238\ 02325299897569153 107 6 13.643.192601.44075082436603.69912077218155300056899.598184457825088715819625053669560337976067633371349581\ 2471295429466783 108 10 89.193.233.2593.2227777.2231857.3684845809.9666387937.182696316061009932535899288044215009.1060516447732219\ 542536227374989585563393 109 2 13.32870965979317482144727100527736629889902626644790132329156313675090375630822342218526898935727706090456\ 2816749162181 110 10 5^2.29.2377.3697.6337.85403261.68368660537.190966927558661.113906113290152260714602934476453152791190722146\ 1192210036964536151488541 111 12 7.13.19.223.2221.16651.5250079.17276929.4150805645839.30023720899326796981.141999918016191978214803181.2688\ 5132550348176163707163735385393 112 4 140897.153953.1200913648289.2834639759843998949562077003124675351936602575285296385818116552399130618066694\ 80894999522287615393 113 4 13.13528813.800189839.6296290028930461534583596913986790646178017049950671355733525005736498244386236056667\ 90466190920340542903 114 9 5.29.457.20593.1977673.176477034940417.2016864235215616489.19739195005084795112797936193449.560801856363955\ 36385812131313731527112339937 115 10 13.829.1381.12421.19141.21391.13644729896474641.49489630860836437.233290498320197431.1070097262349367421382\ 009158108609030815213033837929281 116 6 89.233.18097.10161601.112121388095793449.358114102242293236162203806523402408466752286027075009088748082013\ 511457407682922567587577897 117 17 7.13^2.19.79.313.859.937.1657.1801.36037.222379.3846087181.17793645013.17991125491.188710544522873484019801\ 621.739172987310946716244445433021310665673 118 5 5.29.2489616072661321.87940176560868762457974039344527150684272220289857.6945432886230390267565593701094431\ 76220414468701543268743337 119 8 13.211.2551.12853.13063.66900193189411.799536900947360848804232005031172803108911069.4210354799819553092962\ 330748875456846458398053500425293 120 10 17.97.7681.40609.260753.148589761.592734049.297499056050881.34182189107670005092862256297738241.26431710675\ 263348959866078219391802619508314241 121 7 13.727.9888121.57154490053.353182139722763737.2394580881055996074990901.84345251618366608588136047427117263\ 73579847789337265768640955235323 122 5 5.29.149780377.35025797988529.60103679176642077182244579669774649856562725268441030849926082228196981779977\ 2360883559655675720468076826217 123 12 7.13.19.12301.1684652527.2631304807.13657436942593.31383200376667.6768262271978677.47936660465075191.305115\ 772972736748643.1371514197393197319841009039 124 7 89.233.1489.2729.29347118548682214281.15838950898364499433201.168088681256578054450018926951354347830167180\ 4478170928525289623210675307895442641 125 10 13.1951.19141.21751.60601.73951.73233751.438472201.49155455682299488607091202165523262609092033251.10576996\ 748039313036640466771629566566715155792251 126 11 5.29.73.673.20593.13156924369.122138321401.2254746358873.80048881834094656438235281.12644900506875093717709\ 18441.176212515131857939304775848832047871937 127 7 13.7621.1373887.2567179.2580485967752214559759.3297733393711855795526315949469237174164031.3825945018374772\ 2662953355715066513089944300600363599149 128 2 257.5312101574902471551211009858792613701359967851693176348913224262954673066874179441584772343144224572301\ 982521857107589870210046272536321 129 17 7.13.19.4903.10321.25801.53923.71209.272191.3227839.8211109.372060253.10273420681.52929369769.1243368187803\ 728694619.7177727914895266742809.145096636623818195367871 130 11 5^2.29.53.677.1301.85403261.2200289654266792155913.25993663579055640467321336114621.21535630543488015189612\ 15117565061.552208068913126058374200302558579741 131 4 13.99823.795887215180713140820239663156533.2284113779735114135447994722287594782050788653483092601675881739\ 802229718409998744074707679117988786367 132 8 89.193.233.2227777.67651673.1511487233301139437438722025169.217245283970973197278039678825711337.1429276140\ 80877309667352532553269145059157006852096193329 133 11 13.211.1597.3307.8209.13063.23143.37507.905265296671.1584169244128345096741.1756702380903572157013965065511\ 57148597844722459886862480617784405520891159254022057 134 9 5.29.269.12465217.238437457.616091446145933.2842942315491768701.5341267658677640488179403273177974007341341. 3758675170657003034005925552935418545815050153809 135 24 7.13.19.31.109.181.271.421.487.541.1657.1801.19141.35671.39097.69661.45103501.47336293.92442871.29315905831. 47263556341.9298142299081.3754645011808021.29047373355949915235184684361 136 9 17^2.97.6529.260753.277169.3145763540507811991784369.30927149372800244367934236497.456134878111992905472136\ 109919692866968817182743363282407304580066159871681 137 10 13.823.2467.55897.660067.13105969.446465191.4726519476067642779241.8048556602815122181220397077209673375295\ 667.32495681963937866461125835210657998142218762037183 138 5 5.29.20593.302669957628317561107372328495588758678132736113.93530879223354862938833781297240401236181154320\ 596580969883375553171035130554940755866322825361 139 6 13.2503.191043189673024621.143650345994195628139073964067.202960904636644619042134297569606535376821.559678\ 1752668998296324213182011813581692497481397488447553 140 10 41.89.233.281.521.12041.127921.67657441.79493013628273739882868481.1180461120402971897096241568625068152099\ 4417241224105601628576315783281746660664370152316282016801 141 14 7.13.19.283.4231.18049.161869.12349627.37144759.148353433.21622395121.25952349017122640990797.8405516927437\ 711741762092271.75235103753324650903832544547700119772075556302263 142 5 5.29.70550429.823814215657140097997.20798882227736812500307169709459866070557385283914752502716428601574724\ 4206233309972350211595764345328772560087519026833017 143 11 13^2.79.36037.69499.215359.222379.57142118749.57154490053.3564981182998902659851.11281230401348112127881519\ 54502523951085164257639648691156405081483028532605413235536599 144 7 7489.153953.3122881.1200913648289.1461573322938242802306049.415460694474487075907598913.9613237631250002696\ 7895496205969854392512071429575694923735932512438156039617 145 11 13.19141.433261.98564911.1237976071.1402596253.3622798321.4007980381.1265121937021.1084876017544880450377.8\ 237086088790223599801198579328911543694047788281664395581844080961 146 7 5.29.293.42481639962581.23590811434462329965465365037.42288172857192171614692591029181454030333645636086268\ 69.201866022636911371331131596344186647933747081341322874137 147 19 7^3.13.19.43.211.883.8527.13063.17011.1885339.3410989.858099307135729.57537510254151061.1744201069246727869. 8356734198817312279063.253265324522131745115559.289337143591771089004104223 148 5 89.233.4681523916811354897444073089020189848257.518542971881157751380279354327812674150753.1039696276337534\ 24678027612412295511106124929545147250862381138115263592161 149 4 13.2683.1333516292923.1350340551115257499417234553493417060937292369571457093903534830742061188931909558157\ 703435618549932091218291124158849712656240074469630073548109 150 16 5^3.29.101.1201.3001.4201.20593.85403261.700936801.2334798291701.14807687049800501.186168115009253521.48333\ 66654399986404358722815138642601.3545122652663933913084624204748586254735801 151 7 13.907.58639039.94517673559.6327253297117.100791793816935194025534640846355228703758941735222841563.2170087\ 52696384020865396609212478936956310948254912685404762367194576249 152 9 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