Factorisations Of Cunningham Numbers C+(10,n) = 10^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 11 2 1 101 3 3 7.11.13 4 2 73.137 5 2 11.9091 6 2 101.9901 7 2 11.909091 8 2 17.5882353 9 5 7.11.13.19.52579 10 3 101.3541.27961 11 5 11^2.23.4093.8779 12 3 73.137.99990001 13 3 11.859.1058313049 14 4 29.101.281.121499449 15 7 7.11.13.211.241.2161.9091 16 5 353.449.641.1409.69857 17 4 11.103.4013.21993833369 18 3 101.9901.999999000001 19 2 11.909090909090909091 20 4 73.137.1676321.5964848081 21 8 7^2.11.13.127.2689.459691.909091 22 4 89.101.1052788969.1056689261 23 5 11.47.139.2531.549797184491917 24 3 17.5882353.9999999900000001 25 5 11.251.5051.9091.78875943472201 26 3 101.521.1900381976777332243781 27 7 7.11.13.19.52579.70541929.14175966169 28 4 73.137.7841.127522001020150503761 29 3 11.59.154083204930662557781201849 30 7 61.101.3541.9901.27961.4188901.39526741 31 2 11.909090909090909090909090909091 32 4 19841.976193.6187457.834427406578561 33 9 7.11^2.13.23.4093.8779.599144041.183411838171 34 4 101.28559389.1491383821.2324557465671829 35 5 11.9091.909091.4147571.265212793249617641 36 6 73.137.3169.98641.99990001.3199044596370769 37 4 11.7253.422650073734453.296557347313446299 38 3 101.722817036322379041.1369778187490592461 39 10 7.11.13^2.157.859.6397.216451.1058313049.388847808493 40 4 17.5070721.5882353.19721061166646717498359681 41 3 11.2670502781396266997.3404193829806058997303 42 7 29.101.281.9901.226549.121499449.4458192223320340849 43 4 11.57009401.2182600451.7306116556571817748755241 44 4 73.137.617.16205834846012967584927082656402106953 45 12 7.11.13.19.211.241.2161.9091.29611.52579.3762091.8985695684401 46 4 101.1289.18371524594609.4181003300071669867932658901 47 4 11.6299.4855067598095567.297262705009139006771611927 48 9 97.353.449.641.1409.69857.206209.66554101249.75118313082913 49 4 11.197.909091.5076141624365532994918781726395939035533 50 7 101.3541.27961.60101.7019801.14103673319201.1680588011350901 51 8 7.11.13.103.4013.21993833369.291078844423.377526955309799110357 52 4 73.137.1580801.632527440202150745090622412245443923049201 53 2 11.9090909090909090909090909090909090909090909090909091 54 6 101.109.9901.153469.999999000001.59779577156334533866654838281 55 10 11^2.23.331.4093.5171.8779.9091.20163494891.318727841165674579776721 56 5 17.113.5882353.73765755896403138401.119968369144846370226083377 57 6 7.11.13.1458973.909090909090909091.753201806271328462547977919407 58 5 101.349.38861.618049.11811806375201836408679635736258669583187541 59 4 11.1889.1090805842068098677837.4411922770996074109644535362851087 60 6 73.137.1676321.99990001.5964848081.100009999999899989999000000010001 61 3 11.81131.11205222530116836855321528257890437575145023592596037161 62 3 101.2049349.483128549554512237305554588359039822397307149685578249 63 12 7^2.11.13.19.127.2689.52579.459691.909091.5274739.189772422673235585874485732659 64 3 1265011073.15343168188889137818369.515217525265213267447869906815873 65 6 11.131.859.9091.1058313049.8396862596258693901610602298557167100076327481 66 8 89.101.9901.1052788969.1056689261.5419170769.789390798020221.2361000305507449 67 2 11.909090909090909090909090909090909090909090909090909090909090909091 68 4 73.137.152533657.65552746171882583264230070868884366877803237222654400793 69 10 7.11.13.47.139.2531.31051.143574021480139.549797184491917.24649445347649059192745899 70 11 29.101.281.421.3541.27961.3471301.13489841.121499449.60368344121.848654483879497562821 71 3 11.290249.31321069464181068355415209323405389541706979493156189716729115659 72 5 17.8929.5882353.9999999900000001.111994624258035614290513943330720125433979169 73 4 11.293.10826684964539959837294043117.286578888976194997999922592330908602103011 74 7 101.149.3109.111149.708840373781.669031686661427842829.40548140514062774758071840361 75 11 7.11.13.211.241.251.2161.5051.9091.78875943472201.10000099999999989999899999000000000100001 76 6 73.137.457.1403417.5240808656722481737.297478330786365628414805305290302483555043017 77 12 11^2.23.463.4093.8779.24179.590437.909091.7444361.4539402627853030477.4924630160315726207887 78 7 101.521.3121.9901.53397071018461.1900381976777332243781.6060517860310398033985611921721 79 4 11.1423.9615060929.66443174541490579097997510158021076958392938976011506949065646573 80 9 353.449.641.1409.69857.1634881.18453761.947147262401.349954396040122577928041596214187605761 81 11 7.11.13.19.1459.52579.70541929.2458921051.14175966169.456502382570032651.610600386089858349939139 82 3 101.68389.1447745997018511893740076606031686237538345362413531560645573104006506749609 83 7 11.167.997.3565183.2097307081.7742098247001476863.943176903141330068482602900960294299878841 84 8 73.137.7841.99990001.11189053009.603812429055411913.127522001020150503761.148029423400750506553 85 8 11.103.4013.9091.87211.787223761.21993833369.160220794821014452066741918303580917664386555934641 86 3 101.338669.2923500556298303355222653948542706598448925085853709961673200056984872843366529 87 8 7.11.13.59.638453709757.135080726389891.154083204930662557781201849.1274194732898148471766404179653 88 4 17.5882353.10100113.9900879227786858424257223656804730798555422102713108259184822982673560177 89 4 11.179.12147237304901893.4180967272673252032291190917188955510245874180001164839931077197586653 90 11 61.101.181.3541.9901.27961.4188901.39526741.999999000001.4999437541453012143121.1105097795002994798105101 91 6 11.859.909091.21705503.1058313049.50678387411703889101759125785290439894389920385627096501794498837 92 4 73.137.2393.4178437150016715837818641871709193476807772628503969494400330129962348520684914375257 93 8 7.11.13.373.44641.3590254957.909090909090909090909090909091.18381907262281244633158190677786966663091011 94 4 101.45121.2144906157509411684424913774078958939881.1023037643093214557651333120422980213172396059301 95 6 11.9091.1812604116731.121450506296081.909090909090909091.4996731930447843676185843959746621491531100801 96 8 193.769.19841.976193.6187457.834427406578561.1253224535459902849.53763491189967221358575546107279034709697 97 4 11.102527361354613106010527.323338434891034089173475790125293.27422699366054621683295623079471066588881 98 5 29.101.281.121499449.999999999999990000000000000099999999999999000000000000009999999999999900000000000001 99 13 7.11^2.13.19.23.4093.8779.52579.599144041.7093127053.183411838171.14112252487788618228223353931779614493830\ 5111168717 100 8 73.137.401.1201.1601.1676321.5964848081.1296944190290577505513857711845642744990757009476567578215372915271\ 96801 101 6 11.607.809.1213.1327067281.11500490394117824585468796003575163076836624586334794818271756072956027758946488\ 969 102 11 101.409.3061.9901.5969449.28559389.134703241.1491383821.225974065503889.2324557465671829.443980004790079975\ 69751764249 103 8 11.1237.44092859.102860539.984385009.612053256358933.182725114866521155647161.14718654539938553026608876141\ 37521979 104 8 17.1249.49297.300977.648961.5882353.249227787818677482257.3336327664384090112747059870264076396700423055367\ 43429073 105 17 7^2.11.13.127.211.241.2161.2689.9091.459691.909091.4147571.29970369241.1661378260814161.265212793249617641. 18276168846821336356291 106 5 101.1061.5051749.245391150214875249502685807421982149521.75277048352808729626679875852901448034540173569840\ 168229 107 7 11.1499.28463.74687.392263.795653.9140689231828972552925524522037823147045937571379494322686226282352288670\ 801988451 108 8 73.137.3169.98641.99990001.3199044596370769.1726290008991504500177463302688697.5792769434981542821236869998\ 81829009033 109 4 11.3338786746233023.14060959683864286267405933000927102019.193643833211487192951805788533257418558589878486\ 20134943 110 12 89.101.661.3541.18041.27961.148721.1052788969.1056689261.1121407321.1395900370916327245555441901.3638054502\ 9953205956377406702261 111 10 7.11.13.223.4663.7253.422650073734453.296557347313446299.21606064498691505246200058094681.48911689110891303\ 706174193415115219 112 9 353.449.641.673.1409.69857.43735845217.217860610452031121598489279950204653537.1559440092962140541006269160\ 03794407157304353 113 4 11.4973.4426889.4129431088139783859996416179822426674855191197099407119426935537095172401142816292556850105\ 53886849303 114 11 101.229.2281.4789.9901.304077901.52875286008709.722817036322379041.739653893349540289.1369778187490592461.3\ 3950736420661075851541 115 8 11.47.139.691.2531.9091.549797184491917.1591879884384947756889998393793196655587713298134746583069625164819\ 2619376266439940521 116 7 73.137.233.355193.21591416633.17468739848498438039329935679794457.32032699416316994338429506699243931665584\ 0979654890345228609 117 15 7.11.13^2.19.157.859.6397.52579.216451.461917.60034573.1058313049.388847808493.3609680015682889556828657822\ 4818258719817914995401933354161 118 3 101.430148941.230175856669373992253976277974612031182496625023886807386072581333871027940087154579555293851\ 089822885094561 119 8 11.103.4013.909091.1868879293.21993833369.5673320472670315859129.103746647830421551242486430622636901002236\ 971549990724717454338463 120 8 17.5070721.5882353.1132716961.9999999900000001.19721061166646717498359681.281259985248437790051014401.31388\ 506438433752927908678241 121 11 11^3.23.4093.4357.8779.25169.1485397.102502981431359171598893.544471001372579296332291652675646774644208265\ 246405598834086237345292487 122 5 101.1587221.81183810541.101444162656037151745878558385892753596849.7574338876826097411632784892018433752805\ 9461788181539337429709 123 9 7.11.13.739.148339.16419517.2670502781396266997.3404193829806058997303.610517960355229692711712748765541785\ 04544683763248923853725596423 124 7 73.137.1489.640543322297.27908132670449.384705444182230291105649.976459546680188464672871808663557583742631\ 20864803042536883990817097 125 9 11.251.5051.9091.21001.162251.10893295001.78875943472201.26940979287173162766458619466228123385370101110890\ 6726055753272681082282441709251 126 11 29.101.281.1009.9901.226549.121499449.43266855241.999999000001.4458192223320340849.229062468964372312278995\ 75633620139766044690040039603689929 127 8 11.3557.857772733.1094479651.1125629957.616896149073719728613.10860110813777339731289.360995312736031382186\ 99301565567581705151216702113889 128 4 257.15361.453377.558711876337536212257947750090161313464308422534640474631571587847325442162307811652237021\ 55223678309562822667655169 129 8 7.11.13.57009401.2182600451.7306116556571817748755241.304768036847074491064894608014695867632997.3605696680\ 890791382725432167911038465896663 130 10 101.521.3541.27961.2311921.1031498834064949381.12763852652999774041.1900381976777332243781.1211973050456797\ 7254081.2737820036624672031089487008281 131 7 11.263.1397382241.306662501757259.525786373041914526306757.112506283680098168752627601991569.13636080831807\ 96048411168783196497071688492468691 132 12 73.137.617.2377.16369.432961.99990001.6796152793.24387741577.126197002179733470481.283830826522232279893972\ 777.16205834846012967584927082656402106953 133 6 11.909091.909090909090909091.247025236977306025681323889.61828645758322140842666144519962696417487.72021403\ 933746126426491665754465510017877 134 7 101.269.4021.260587121.94927228208573594069.2302527353565357450759725122262880394277261.1607103056527759457\ 6986582552521799177065559188277159741 135 18 7.11.13.19.211.241.2161.6481.9091.29611.52579.3762091.70541929.14175966169.577603663291.8985695684401.31023\ 833790241.8610583349234340055547908764091017276717091 136 5 17^2.5882353.13355595217.4404410875574787768521718346256386184129490593740848375795314256336612692038037414\ 15744566525108430933975383194546209 137 7 11.364393423.117651465889.441651480271681.676321006412903.218801242136856556680173235529.324456958063495610\ 1009646791013296826459859399717968478099 138 10 101.829.1289.9901.1569889.18371524594609.536430531035337769.757108543129939106221.4181003300071669867932658\ 901.19108466176791400681292709171992566565029 139 4 11.557.2503.65206557093133416984651876211089535710403595333062378353092332941289776570384185949278036260192\ 6814638167836591846272150911969126521 140 8 73.137.7841.851761.1676321.5964848081.127522001020150503761.11741556610363705311583871530863587320857611583\ 54280249987966107746175275693416345665039841 141 10 7.11.13.6299.344887.9127213.4855067598095567.1160803383934463712259.297262705009139006771611927.30073566270\ 559048948142559741512708796590524703892560552659 142 7 101.569.7669.380623849488714809.7716926518833508778689508504941.93611382287513950329431625811490669.8251988\ 2659061966708762483486719446639288430446081 143 12 11^2.23.859.4093.8779.51767.1058313049.22144088539.264752347289.104730101107272149081.346075246092095125622\ 13651270561528862879196390936320471942325254862879783 144 12 97.353.449.641.1409.13249.69857.206209.1067329.66554101249.75118313082913.707161470552577113741235757984286\ 08590219877617672752248112085912824160137075376116481 145 10 11.59.1451.9091.30104611.58765601.2433146345771.17996132431060961.154083204930662557781201849.9786272766548\ 0231246011008935563207741144491224418517422691228321 146 6 101.5911541.16692085818029.5774294197526381.182202742802607835615596881.95370375761037525458610714099673217\ 61728999089417907986752766348817191016093460769 147 12 7^3.11.13.127.197.2689.459691.909091.5076141624365532994918781726395939035533.14285715714285714285699999998\ 5714285714285857142857142855714285571428571428572857143 148 5 73.137.61544617.16444765848115921.9879587347765036607308472984299267446449284274878503800385604286380709096\ 50210480224210297181360032908354907525523774393 149 5 11.2087.9615683031450065714899.165459609176797865866134365329792270635207840943.273786943025270543291743981\ 4481839640694075521336313521691938014929169431049 150 17 61.101.601.3541.9901.27961.60101.261301.3903901.4188901.7019801.39526741.168290119201.14103673319201.168058\ 8011350901.25074091038628125301.38654658795718156456729958859629701 151 6 11.181288487.153653579173.12331942624071394811.2646756758131654397378192081701748003041997.9998823061783773\ 45161889846655198592766347086896770989636138585751423 152 5 17.134369.5882353.31735795756961.23450468203945238547222860183739121710126330850830571913874990515654086653\ 4427238711769806579683320997636600725852987602204289 153 16 7.11.13.19.103.4013.52579.2142001.5364487.832339891.21993833369.276402747619.291078844423.2405782797823.377\ 526955309799110357.157393477257579000092993572752789683416120273639369 154 9 29.89.101.281.121499449.1052788969.1056689261.39511854229.2556194893173839918095986049303563300534667499721\ 9855227412314112685523898853595360610683149167147379131162769 155 7 11.9091.11161.3925963357681.5167617497664851.909090909090909090909090909091.4857900688365130469291831549890\ 842547443917376935406225054646143856579892970236911030721 156 10 73.137.313.1101673.1580801.99990001.1358074433371719716641.291593563046646669491593.63252744020215074509062\ 2412245443923049201.7323941687838105624847742701467683590147273 157 4 11.4397.3641773.5677249457541767920914361261393637170284208419081725916171115977757756348333809389444733502\ 8905724214106839545113870547643014663862360146330362411 158 5 101.5689.507998564486483655774880939989709.646301962916453492325383567253991760083617720844121.530084044837\ 791203267418958734478905892862260111193658629289735929681 159 10 7.11.13.3499.2784091.54137839415767.917813298871770308465539.26526333976234009593263527.8558521377558885170\ 560719135529.9090909090909090909090909090909090909090909090909091 160 5 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