1Factorisations Of Cunningham Numbers C-(12,n) = 12^n - 1
2
3Canonical Representation Of Factorisations
4
51. Factorisations are given from smallest to largest factor, with a period '.'
6 separating factors.
72. Multiplicity of factors is indicated with the carat '^' in ascii tradition
8 for the text version of the tables but not the HTML version.
93. The backslash '\' is used to indicate continuation of a line, the decimal
10 digit representation of the number does not stop but continues on the next
11 line as if no break had occured. This can sometimes make for bad breaks, but
12 such is life.
13
14Notation Used In The Tables
15
161. #Fac is the number of (non distinct) prime factors in an expression.
172. A plussed #Fac means that more prime factors exist but they are unknown due
18 to an unfactored composite in the expression.
19
20========================================================================================================================
21
22 n #Fac Factorisation
23 1 1 11
24 2 2 11.13
25 3 2 11.157
26 4 4 5.11.13.29
27 5 2 11.22621
28 6 5 7.11.13.19.157
29 7 3 11.659.4943
30 8 6 5.11.13.29.89.233
31 9 4 11.37.157.80749
32 10 4 11.13.19141.22621
33 11 4 11^2.23.266981089
34 12 8 5.7.11.13.19.29.157.20593
35 13 3 11.477517.20369233
36 14 6 11.13.211.659.4943.13063
37 15 6 11.61.157.661.9781.22621
38 16 9 5.11.13.17.29.89.97.233.260753
39 17 3 11.2693651.74876782031
40 18 9 7.11.13.19.37.157.1657.1801.80749
41 19 2 11.29043636306420266077
42 20 8 5^2.11.13.29.19141.22621.85403261
43 21 5 11.157.659.4943.8177824843189
44 22 6 11^2.13.23.266981089.57154490053
45 23 4 11.47.39891250417.321218438243
46 24 12 5.7.11.13.19.29.89.157.193.233.20593.2227777
47 25 4 11.22621.303551.12629757106815551
48 26 8 11.13^2.79.36037.222379.477517.20369233
49 27 6 11.37.157.80749.306829.86769286104133
50 28 10 5.11.13.29.211.659.673.4943.13063.13156924369
51 29 5 11.59.24767.368939.3335672988472972523
52 30 13 7.11.13.19.31.61.157.421.661.9781.19141.22621.35671
53 31 5 11.373.126883621.23364027983.234187563803
54 32 11 5.11.13.17.29.89.97.233.153953.260753.1200913648289
55 33 8 11^2.23.157.886381.5999137.266981089.661269577
56 34 6 11.13.2551.2693651.74876782031.66900193189411
57 35 9 11.71.491.659.4943.22621.806821.6089651.425455031
58 36 14 5.7.11.13.19.29.37.73.157.1657.1801.20593.80749.122138321401
59 37 3 11.3933841.196560666553286126588980353347341
60 38 6 11.13.3307.8209.905265296671.29043636306420266077
61 39 7 11.157.36973.477517.17654521.20369233.111704871987697
62 40 14 5^2.11.13.29.41.89.233.521.19141.22621.127921.67657441.85403261
63 41 4 11.83.1977898057.97668924760419986491370101198871
64 42 14 7^2.11.13.19.43.157.211.659.4943.13063.17011.1885339.8177824843189
65 43 5 11.431.12313309.13444466603.32359758358562524963364461
66 44 12 5.11^2.13.23.29.2377.3697.6337.266981089.57154490053.68368660537
67 45 12 11.37.61.157.661.9781.22621.30781.80749.5234401.21456901.22981681
68 46 8 11.13.47.829.12421.39891250417.321218438243.49489630860836437
69 47 3 11.10617249990997021.4509348865973648037702008076799297
70 48 18 5.7.11.13.17.19.29.89.97.157.193.233.7681.20593.40609.260753.2227777.592734049
71 49 5 11.659.4943.77617.27268138641564464649627762762033543154129
72 50 10 11.13.1951.19141.22621.60601.73951.303551.438472201.12629757106815551
73 51 6 11.157.2693651.20757613.74876782031.1510376787258214230993801577
74 52 13 5.11.13^2.29.53.79.677.36037.222379.477517.20369233.2200289654266792155913
75 53 7 11.107.743.1694941.29504677.3089222210773.11639817348279944053139101
76 54 16 7.11.13.19.37.109.157.271.487.1657.1801.39097.80749.306829.47336293.86769286104133
77 55 8 11^2.23.5281.22621.266981089.442434513819541.5766308324790114380136001
78 56 13 5.11.13.29.89.211.233.659.673.4943.13063.13156924369.79493013628273739882868481
79 57 7 11.157.114001.129733.20526705689989.2141456811167917.29043636306420266077
80 58 8 11.13.59.24767.368939.1402596253.3335672988472972523.1084876017544880450377
81 59 4 11.22067.33565608845417661253.576319092656266231937955277485160608227
82 60 19 5^2.7.11.13.19.29.31.61.157.421.661.9781.19141.20593.22621.35671.85403261.186168115009253521
83 61 4 11.1706293.1000831393.35995548461449237368649937465097120608531155491049
84 62 8 11.13.373.1263499.126883621.23364027983.234187563803.173420475484059478781201647
85 63 8 11.37.157.659.4943.80749.8177824843189.708391688852136898302887193094373767489
86 64 13 5.11.13.17.29.89.97.233.769.153953.260753.1200913648289.44450180997616192602560262634753
87 65 8 11.131.22621.477517.20369233.1932288541.596827590710414051.38346067178495390031121
88 66 17 7.11^2.13.19.23.67.157.199.1453.5479.886381.5999137.266981089.661269577.39105782299.57154490053
89 67 5 11.45464593.16180787699.17577834702049211.14194250210247370482234494581820525581
90 68 10 5.11.13.29.2551.2693651.74876782031.79471453801.66900193189411.427152748915310957418697
91 69 7 11.47.157.39891250417.321218438243.6279903241741823809.44512779475648508632485424501
92 70 14 11.13.71.211.491.659.4943.13063.19141.22621.806821.6089651.425455031.86121235964912696227980301
93 71 4 11.5113.19597.37984848524797723599443142193849504165878058073506632204903320475097
94 72 21 5.7.11.13.19.29.37.73.89.157.193.233.1657.1801.20593.80749.2227777.2231857.3684845809.9666387937.1221383214\
95 01
96 73 3 11.50654608967364071.10819801896323246322047439823759030271173906614865775084804891
97 74 7 11.13.3933841.5250079.4150805645839.30023720899326796981.196560666553286126588980353347341
98 75 11 11.61.157.601.661.9781.22621.303551.80342401.12629757106815551.304388904961188288704032230609001
99 76 11 5.11.13.29.3307.8209.1977673.905265296671.176477034940417.2016864235215616489.29043636306420266077
100 77 11 11^2.23.659.4621.4943.266981089.379101493.191199728567.50565974802015289.3049643652382570802424251
101 78 18 7.11.13^2.19.79.157.313.859.36037.36973.222379.477517.17654521.20369233.17793645013.17991125491.11170487198\
102 7697
103 79 4 11.162109.130479719.77370537348083186697234206796711379983732285083928961107335722804796087
104 80 18 5^2.11.13.17.29.41.89.97.233.521.19141.22621.127921.260753.67657441.85403261.341821891076700050928622562977\
105 38241
106 81 9 11.37.157.80749.306829.5937949.86769286104133.660198074631409.4813672836681861967666457690352914053
107 82 9 11.13.83.12301.1684652527.1977898057.13657436942593.47936660465075191.97668924760419986491370101198871
108 83 10 11.167.997.1993.22079.557889481.35238620437.2731547200091.10052468384786123.8580328460037248736936629989
109 84 20 5.7^2.11.13.19.29.43.157.211.659.673.4943.13063.17011.20593.1885339.13156924369.8177824843189.8004888183409\
110 4656438235281
111 85 10 11.1021.22271.22621.2693651.4832761.74876782031.204560684821.5383015065849288291601.8851245553587646908851
112 86 10 11.13.431.71209.12313309.372060253.10273420681.13444466603.7177727914895266742809.32359758358562524963364461
113 87 11 11.59.157.349.1741.24767.368939.74233562929.936727604123432773.3335672988472972523.589895110249008472980350\
114 17
115 88 16 5.11^2.13.23.29.89.233.2377.3697.6337.67651673.266981089.57154490053.68368660537.21724528397097319727803967\
116 8825711337
117 89 9 11.179.2137.120863.3163346581.16649789224075621.35035317869663569.255053775727906405559.4656868283889935515\
118 079
119 90 24 7.11.13.19.31.37.61.157.181.421.661.1657.1801.9781.19141.22621.30781.35671.80749.5234401.21456901.22981681.
120 47263556341.9298142299081
121 91 8 11.659.4943.477517.20369233.152705150363039.1091317880778743355464526983.2763479267390955155925039281253414\
122 013
123 92 11 5.11.13.29.47.829.12421.39891250417.321218438243.49489630860836437.3026699576283175611073723284955887586781\
124 32736113
125 93 10 11.157.373.8929.1261081.126883621.16185865453.23364027983.234187563803.283567119204578007220894586434442536\
126 700248177
127 94 8 11.13.18049.12349627.21622395121.10617249990997021.8405516927437711741762092271.450934886597364803770200807\
128 6799297
129 95 5 11.191.22621.29043636306420266077.2411179444704156047429462350631072712288681299074776570877408773293550795\
130 851
131 96 23 5.7.11.13.17.19.29.89.97.157.193.233.7489.7681.20593.40609.153953.260753.2227777.3122881.592734049.12009136\
132 48289.1461573322938242802306049
133 97 2 11.43570062353753446053455610056679740005056966111842089407838902783209959981593077811330507328327968191581
134 98 10 11.13.211.659.4943.13063.77617.8356734198817312279063.253265324522131745115559.2726813864156446464962776276\
135 2033543154129
136 99 14 11^2.23.37.157.397.3169.80749.886381.5999137.266981089.661269577.9143902271574719666671109149.4895296942204\
137 991493950514043177
138 100 20 5^3.11.13.29.101.1201.1951.19141.22621.60601.73951.303551.85403261.438472201.700936801.2334798291701.126297\
139 57106815551.14807687049800501
140 101 3 11.20359133179252403.44376585437740491243643115073310058804985067116083769691305215288274490044481461829581\
141 371567
142 102 15 7.11.13.19.103.157.307.2551.2693651.20757613.74876782031.66900193189411.380355066717049.3077130526103089.15\
143 10376787258214230993801577
144 103 7 11.3709.7417.1309643353.13951770188639477959439.226319692803146344014357964333823.1143630800580569683259972\
145 155090034378209
146 104 18 5.11.13^2.29.53.79.89.233.677.36037.222379.288913.477517.20369233.25265657.2200289654266792155913.865727447\
147 657645665290857439836665912121
148 105 18 11.61.71.157.491.659.661.2521.4943.9781.22621.126001.806821.6089651.425455031.9562853581.8177824843189.2268\
149 301966722094170973637436845641
150 106 12 11.13.107.743.3181.33073.1694941.29504677.77366539.3089222210773.11639817348279944053139101.148618289706177\
151 14166257633556559606415803
152 107 4 11.126047.8368183883.25576252654191267599857410066384594796702097194341694171659889707317943899159116221534\
153 05973231480937
154 108 26 5.7.11.13.19.29.37.73.109.157.271.433.487.1657.1801.3889.20593.39097.80749.306829.42729553.47336293.1221383\
155 21401.165042892009.59686188135337.86769286104133
156 109 2 11.38847505248284297080132027896416017142612195125661065479912007070561353018244586258259062378587289015993\
157 7874339918941
158 110 15 11^2.13.23.331.5281.6271.19141.22621.266981089.57154490053.442434513819541.164018234982236911.4676848202963\
159 5739671.5766308324790114380136001
160 111 5 11.157.3933841.196560666553286126588980353347341.4608000898691909219837070170281225442095241765206022497823\
161 81908735149795083701
162 112 22 5.11.13.17.29.89.97.113.211.233.659.673.2129.4943.13063.244721.260753.527633.13156924369.22232950788588289.
163 9150512297530943809.79493013628273739882868481
164 113 6 11.227.7450459827983.316093109705519.753692779085581623227.199926240838944375118303364943404160786444157734\
165 80260275067477565243917
166 114 18 7.11.13.19^2.157.229.3307.8209.62701.114001.129733.905265296671.3178598581687.20526705689989.21414568111679\
167 17.884986147755302617.29043636306420266077
168 115 7 11.47.2531.22621.39891250417.321218438243.33641139003216517508161244299868999433148873412300459726372231642\
169 118974160452666995106572871
170 116 16 5.11.13.29^2.59.1277.24767.368939.378509.1402596253.9533379150437.507127415651053993.3335672988472972523.39\
171 821279284774257217.1084876017544880450377
172 117 13 11.37.157.6553.36973.80749.477517.17654521.20369233.111704871987697.774101091754693.53639393507525810337720\
173 13.18453409033565586419112697648130953
174 118 10 11.13.709.1063.22067.25232402089.21271304642628211.33565608845417661253.892931082048097905588129990661.5763\
175 19092656266231937955277485160608227
176 119 10 11.239.659.1429.4943.137089.2693651.23082431.74876782031.33876363758168383790211981852120549005187845367983\
177 408330311762194319117404851729030929
178 120 29 5^2.7.11.13.19.29.31.41.61.89.157.193.233.241.421.521.661.9781.19141.20593.22621.35671.127921.2227777.67657\
179 441.85403261.186168115009253521.141841649932724596178535977341201
180 121 10 11^3.23.7019.266981089.9971358563.13448069471.36801041190212623908408703917306494049155113.1345844097570648\
181 78915359991836917880675451536595733
182 122 9 11.13.111997.1706293.1000831393.7361466337.5188602220069.12158823644892290381600372389012829461.35995548461\
183 449237368649937465097120608531155491049
184 123 6 11.83.157.1977898057.97668924760419986491370101198871.19813560415890713078235802754885301125502289123438021\
185 0220638216697707952818607731672501
186 124 14 5.11.13.29.373.617521.1263499.126883621.23364027983.234187563803.26825115448057.87873272984241400393.384431\
187 63532797107825239361.173420475484059478781201647
188 125 8 11.251.13751.22621.118751.303551.12629757106815551.20205952406669061752169269194433292566654170373750063848\
189 39685133690884988810355471332414873000251
190 126 23 7^2.11.13.19.37.43.127.157.211.659.1657.1801.4943.13063.17011.80749.1885339.79277059.2537121133.81778248431\
191 89.27764103747580691401.708391688852136898302887193094373767489
192 127 4 11.88750555799.2597995311343175210111334225450311.448555430028250336977208710576722637568651467504792196905\
193 96162336002077638062228173536814333
194 128 18 5.11.13.17.29.89.97.233.769.36097.81281.153953.260753.69619841.1200913648289.73389730593973249.444501809976\
195 16192602560262634753.77941952137713139794518937770197249
196 129 8 11.157.431.3784861.12313309.13444466603.32359758358562524963364461.1085519359321015557480968537352630926574\
197 094702421889253959355080487956521679317029369
198 130 17 11.13^2.79.131.19141.22621.36037.37831.222379.477517.20369233.52960051.1932288541.596827590710414051.383460\
199 67178495390031121.3417149308806048848886113884045970301001
200 131 3 11.263.8154452336701997946790890543554664964808697832926141872958752997860762151076929116107953883515304374\
201 90847296932822002153819841240735668859
202 132 28 5.7.11^2.13.19.23.29.67.157.199.1453.2377.3697.5479.6337.20593.109297.219649.886381.1717321.5999137.2669810\
203 89.661269577.39105782299.57154490053.68368660537.358976694345244191509108377
204 133 8 11.659.4943.67033.365876351.29043636306420266077.153373238287849222871747653.867787603275036915930138942285\
205 82105055028770779566151156583792136083460735911
206 134 9 11.13.44623.2291803.45464593.16180787699.17577834702049211.14194250210247370482234494581820525581.151867234\
207 5938013768669908366811731011574374727044533563648497
208 135 17 11.37.61.157.661.9781.22621.30781.80749.306829.5234401.21456901.22981681.86769286104133.1171991449748699216\
209 3161.45726761961907655567941.937464483504494178640285420770901
210 136 15 5.11.13.29.89.137.233.2551.2693651.17019338113.74876782031.79471453801.66900193189411.427152748915310957418\
211 697.501089808860298305508198111955017967765124897733633407801
212 137 5 11.7894763.99485649955791433.4270306101158898662140485488376974936909627.1909323323531032592824521040398699\
213 34637848025491327073514361270402632428137006957
214 138 19 7.11.13.19.47.139.157.277.829.8419.12421.22542577.129512587.39891250417.321218438243.49489630860836437.6279\
215 903241741823809.348670382471247108491803.44512779475648508632485424501
216 139 5 11.32830711631.149723271154501574581.13976446202665769757077661403698383112061728500003.1342252293639677786\
217 112433290408438740688955155541371153388457379745069
218 140 24 5^2.11.13.29.71.211.491.659.673.4943.13063.19141.22621.806821.6089651.71874601.85403261.425455031.103655092\
219 81.13156924369.1612092376073761.5298455664688950121.86121235964912696227980301
220 141 7 11.157.3504133.5136890928835357.10617249990997021.4509348865973648037702008076799297.9814237196082693742388\
221 7573866630190692479249397249110266970173233791660304869
222 142 7 11.13.5113.19597.48058613330617.67012200840037529491338272681863005761074227988731301506393709.379848485247\
223 97723599443142193849504165878058073506632204903320475097
224 143 9 11^2.23.477517.20369233.266981089.1068975337.28151299084766629509889009.96715223228653637834905941377184481\
225 442578253854957266622804692882369624823117537634934976433917
226 144 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\
227 993.592734049.3684845809.9666387937.122138321401.15670947324691873.253877164546293805845289537
228 145 10 11.59.22621.24767.368939.8458141.152107892171.2833016858862791.3335672988472972523.185710694432907024929217\
229 0779930540291991415466502404994621328170606782147804924588018461
230 146 8 11.13.439.346059859.6325722879776491.50654608967364071.482571534122030596647601188990898075105644074814931.
231 10819801896323246322047439823759030271173906614865775084804891
232 147 11 11.157.659.4943.77617.7622826121.8177824843189.3053140047080689861.29014061524726574502110353.6633662756098\
233 833340120457931209406613.27268138641564464649627762762033543154129
234 148 15 5.11.13.29.149.48989.417509.3933841.5250079.21617621.4150805645839.30023720899326796981.1372147657634326661\
235 3693.196560666553286126588980353347341.551930982323870847324371378921584061
236 149 4 11.11027.1919442572897362836803025134228929025089.269761817023618738054898710331586374089228106297387313320\
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