- 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 1 11 [1st Prime]
2 2 11.13
3 2 11.157
4 4 5.11.13.29
5 2 11.22621
6 5 7.11.13.19.157
7 3 11.659.4943
8 6 5.11.13.29.89.233
9 4 11.37.157.80749
10 4 11.13.19141.22621
11 4 11.11.23.266981089
12 8 5.7.11.13.19.29.157.20593
13 3 11.477517.20369233
14 6 11.13.211.659.4943.13063
15 6 11.61.157.661.9781.22621
16 9 5.11.13.17.29.89.97.233.260753
17 3 11.2693651.74876782031
18 9 7.11.13.19.37.157.1657.1801.80749
19 2 11.29043636306420266077
20 8 5.5.11.13.29.19141.22621.85403261
21 5 11.157.659.4943.8177824843189
22 6 11.11.13.23.266981089.57154490053
23 4 11.47.39891250417.321218438243
24 12 5.7.11.13.19.29.89.157.193.233.20593.2227777
25 4 11.22621.303551.12629757106815551
26 8 11.13.13.79.36037.222379.477517.20369233
27 6 11.37.157.80749.306829.86769286104133
28 10 5.11.13.29.211.659.673.4943.13063.13156924369
29 5 11.59.24767.368939.3335672988472972523
30 13 7.11.13.19.31.61.157.421.661.9781.19141.22621.35671
31 5 11.373.126883621.23364027983.234187563803
32 11 5.11.13.17.29.89.97.233.153953.260753.1200913648289
33 8 11.11.23.157.886381.5999137.266981089.661269577
34 6 11.13.2551.2693651.74876782031.66900193189411
35 9 11.71.491.659.4943.22621.806821.6089651.425455031
36 14 5.7.11.13.19.29.37.73.157.1657.1801.20593.80749.122138321401
37 3 11.3933841.196560666553286126588980353347341
38 6 11.13.3307.8209.905265296671.29043636306420266077
39 7 11.157.36973.477517.17654521.20369233.111704871987697
40 14 5.5.11.13.29.41.89.233.521.19141.22621.127921.67657441.85403261
41 4 11.83.1977898057.97668924760419986491370101198871
42 14 7.7.11.13.19.43.157.211.659.4943.13063.17011.1885339.8177824843189
43 5 11.431.12313309.13444466603.32359758358562524963364461
44 12 5.11.11.13.23.29.2377.3697.6337.266981089.57154490053.68368660537
45 12 11.37.61.157.661.9781.22621.30781.80749.5234401.21456901.22981681
46 8 11.13.47.829.12421.39891250417.321218438243.49489630860836437
47 3 11.10617249990997021.4509348865973648037702008076799297
48 18 5.7.11.13.17.19.29.89.97.157.193.233.7681.20593.40609.260753.2227777.592734049
49 5 11.659.4943.77617.27268138641564464649627762762033543154129
50 10 11.13.1951.19141.22621.60601.73951.303551.438472201.12629757106815551
51 6 11.157.2693651.20757613.74876782031.1510376787258214230993801577
52 13 5.11.13.13.29.53.79.677.36037.222379.477517.20369233.2200289654266792155913
53 7 11.107.743.1694941.29504677.3089222210773.11639817348279944053139101
54 16 7.11.13.19.37.109.157.271.487.1657.1801.39097.80749.306829.47336293.86769286104133
55 8 11.11.23.5281.22621.266981089.442434513819541.5766308324790114380136001
56 13 5.11.13.29.89.211.233.659.673.4943.13063.13156924369.79493013628273739882868481
57 7 11.157.114001.129733.20526705689989.2141456811167917.29043636306420266077
58 8 11.13.59.24767.368939.1402596253.3335672988472972523.1084876017544880450377
59 4 11.22067.33565608845417661253.576319092656266231937955277485160608227
60 19 5.5.7.11.13.19.29.31.61.157.421.661.9781.19141.20593.22621.35671.85403261.186168115009253521
61 4 11.1706293.1000831393.35995548461449237368649937465097120608531155491049
62 8 11.13.373.1263499.126883621.23364027983.234187563803.173420475484059478781201647
63 8 11.37.157.659.4943.80749.8177824843189.708391688852136898302887193094373767489
64 13 5.11.13.17.29.89.97.233.769.153953.260753.1200913648289.44450180997616192602560262634753
65 8 11.131.22621.477517.20369233.1932288541.596827590710414051.38346067178495390031121
66 17 7.11.11.13.19.23.67.157.199.1453.5479.886381.5999137.266981089.661269577.39105782299.57154490053
67 5 11.45464593.16180787699.17577834702049211.14194250210247370482234494581820525581
68 10 5.11.13.29.2551.2693651.74876782031.79471453801.66900193189411.427152748915310957418697
69 7 11.47.157.39891250417.321218438243.6279903241741823809.44512779475648508632485424501
70 14 11.13.71.211.491.659.4943.13063.19141.22621.806821.6089651.425455031.86121235964912696227980301
71 4 11.5113.19597.37984848524797723599443142193849504165878058073506632204903320475097
72 21 5.7.11.13.19.29.37.73.89.157.193.233.1657.1801.20593.80749.2227777.2231857.3684845809.9666387937.1221383214\
01
73 3 11.50654608967364071.10819801896323246322047439823759030271173906614865775084804891
74 7 11.13.3933841.5250079.4150805645839.30023720899326796981.196560666553286126588980353347341
75 11 11.61.157.601.661.9781.22621.303551.80342401.12629757106815551.304388904961188288704032230609001
76 11 5.11.13.29.3307.8209.1977673.905265296671.176477034940417.2016864235215616489.29043636306420266077
77 11 11.11.23.659.4621.4943.266981089.379101493.191199728567.50565974802015289.3049643652382570802424251
78 18 7.11.13.13.19.79.157.313.859.36037.36973.222379.477517.17654521.20369233.17793645013.17991125491.1117048719\
87697
79 4 11.162109.130479719.77370537348083186697234206796711379983732285083928961107335722804796087
80 18 5.5.11.13.17.29.41.89.97.233.521.19141.22621.127921.260753.67657441.85403261.341821891076700050928622562977\
38241
81 9 11.37.157.80749.306829.5937949.86769286104133.660198074631409.4813672836681861967666457690352914053
82 9 11.13.83.12301.1684652527.1977898057.13657436942593.47936660465075191.97668924760419986491370101198871
83 10 11.167.997.1993.22079.557889481.35238620437.2731547200091.10052468384786123.8580328460037248736936629989
84 20 5.7.7.11.13.19.29.43.157.211.659.673.4943.13063.17011.20593.1885339.13156924369.8177824843189.8004888183409\
4656438235281
85 10 11.1021.22271.22621.2693651.4832761.74876782031.204560684821.5383015065849288291601.8851245553587646908851
86 10 11.13.431.71209.12313309.372060253.10273420681.13444466603.7177727914895266742809.32359758358562524963364461
87 11 11.59.157.349.1741.24767.368939.74233562929.936727604123432773.3335672988472972523.589895110249008472980350\
17
88 16 5.11.11.13.23.29.89.233.2377.3697.6337.67651673.266981089.57154490053.68368660537.2172452839709731972780396\
78825711337
89 9 11.179.2137.120863.3163346581.16649789224075621.35035317869663569.255053775727906405559.4656868283889935515\
079
90 24 7.11.13.19.31.37.61.157.181.421.661.1657.1801.9781.19141.22621.30781.35671.80749.5234401.21456901.22981681.
47263556341.9298142299081
91 8 11.659.4943.477517.20369233.152705150363039.1091317880778743355464526983.2763479267390955155925039281253414\
013
92 11 5.11.13.29.47.829.12421.39891250417.321218438243.49489630860836437.3026699576283175611073723284955887586781\
32736113
93 10 11.157.373.8929.1261081.126883621.16185865453.23364027983.234187563803.283567119204578007220894586434442536\
700248177
94 8 11.13.18049.12349627.21622395121.10617249990997021.8405516927437711741762092271.450934886597364803770200807\
6799297
95 5 11.191.22621.29043636306420266077.2411179444704156047429462350631072712288681299074776570877408773293550795\
851
96 23 5.7.11.13.17.19.29.89.97.157.193.233.7489.7681.20593.40609.153953.260753.2227777.3122881.592734049.12009136\
48289.1461573322938242802306049
97 2 11.43570062353753446053455610056679740005056966111842089407838902783209959981593077811330507328327968191581
98 10 11.13.211.659.4943.13063.77617.8356734198817312279063.253265324522131745115559.2726813864156446464962776276\
2033543154129
99 14 11.11.23.37.157.397.3169.80749.886381.5999137.266981089.661269577.9143902271574719666671109149.489529694220\
4991493950514043177
100 20 5.5.5.11.13.29.101.1201.1951.19141.22621.60601.73951.303551.85403261.438472201.700936801.2334798291701.1262\
9757106815551.14807687049800501
101 3 11.20359133179252403.44376585437740491243643115073310058804985067116083769691305215288274490044481461829581\
371567
102 15 7.11.13.19.103.157.307.2551.2693651.20757613.74876782031.66900193189411.380355066717049.3077130526103089.15\
10376787258214230993801577
103 7 11.3709.7417.1309643353.13951770188639477959439.226319692803146344014357964333823.1143630800580569683259972\
155090034378209
104 18 5.11.13.13.29.53.79.89.233.677.36037.222379.288913.477517.20369233.25265657.2200289654266792155913.86572744\
7657645665290857439836665912121
105 18 11.61.71.157.491.659.661.2521.4943.9781.22621.126001.806821.6089651.425455031.9562853581.8177824843189.2268\
301966722094170973637436845641
106 12 11.13.107.743.3181.33073.1694941.29504677.77366539.3089222210773.11639817348279944053139101.148618289706177\
14166257633556559606415803
107 4 11.126047.8368183883.25576252654191267599857410066384594796702097194341694171659889707317943899159116221534\
05973231480937
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\
21401.165042892009.59686188135337.86769286104133
109 2 11.38847505248284297080132027896416017142612195125661065479912007070561353018244586258259062378587289015993\
7874339918941
110 15 11.11.13.23.331.5281.6271.19141.22621.266981089.57154490053.442434513819541.164018234982236911.467684820296\
35739671.5766308324790114380136001
111 5 11.157.3933841.196560666553286126588980353347341.4608000898691909219837070170281225442095241765206022497823\
81908735149795083701
112 22 5.11.13.17.29.89.97.113.211.233.659.673.2129.4943.13063.244721.260753.527633.13156924369.22232950788588289.
9150512297530943809.79493013628273739882868481
113 6 11.227.7450459827983.316093109705519.753692779085581623227.199926240838944375118303364943404160786444157734\
80260275067477565243917
114 18 7.11.13.19.19.157.229.3307.8209.62701.114001.129733.905265296671.3178598581687.20526705689989.2141456811167\
917.884986147755302617.29043636306420266077
115 7 11.47.2531.22621.39891250417.321218438243.33641139003216517508161244299868999433148873412300459726372231642\
118974160452666995106572871
116 16 5.11.13.29.29.59.1277.24767.368939.378509.1402596253.9533379150437.507127415651053993.3335672988472972523.3\
9821279284774257217.1084876017544880450377
117 13 11.37.157.6553.36973.80749.477517.17654521.20369233.111704871987697.774101091754693.53639393507525810337720\
13.18453409033565586419112697648130953
118 10 11.13.709.1063.22067.25232402089.21271304642628211.33565608845417661253.892931082048097905588129990661.5763\
19092656266231937955277485160608227
119 10 11.239.659.1429.4943.137089.2693651.23082431.74876782031.33876363758168383790211981852120549005187845367983\
408330311762194319117404851729030929
120 29 5.5.7.11.13.19.29.31.41.61.89.157.193.233.241.421.521.661.9781.19141.20593.22621.35671.127921.2227777.67657\
441.85403261.186168115009253521.141841649932724596178535977341201
121 10 11.11.11.23.7019.266981089.9971358563.13448069471.36801041190212623908408703917306494049155113.134584409757\
064878915359991836917880675451536595733
122 9 11.13.111997.1706293.1000831393.7361466337.5188602220069.12158823644892290381600372389012829461.35995548461\
449237368649937465097120608531155491049
123 6 11.83.157.1977898057.97668924760419986491370101198871.19813560415890713078235802754885301125502289123438021\
0220638216697707952818607731672501
124 14 5.11.13.29.373.617521.1263499.126883621.23364027983.234187563803.26825115448057.87873272984241400393.384431\
63532797107825239361.173420475484059478781201647
125 8 11.251.13751.22621.118751.303551.12629757106815551.20205952406669061752169269194433292566654170373750063848\
39685133690884988810355471332414873000251
126 23 7.7.11.13.19.37.43.127.157.211.659.1657.1801.4943.13063.17011.80749.1885339.79277059.2537121133.81778248431\
89.27764103747580691401.708391688852136898302887193094373767489
127 4 11.88750555799.2597995311343175210111334225450311.448555430028250336977208710576722637568651467504792196905\
96162336002077638062228173536814333
128 18 5.11.13.17.29.89.97.233.769.36097.81281.153953.260753.69619841.1200913648289.73389730593973249.444501809976\
16192602560262634753.77941952137713139794518937770197249
129 8 11.157.431.3784861.12313309.13444466603.32359758358562524963364461.1085519359321015557480968537352630926574\
094702421889253959355080487956521679317029369
130 17 11.13.13.79.131.19141.22621.36037.37831.222379.477517.20369233.52960051.1932288541.596827590710414051.38346\
067178495390031121.3417149308806048848886113884045970301001
131 3 11.263.8154452336701997946790890543554664964808697832926141872958752997860762151076929116107953883515304374\
90847296932822002153819841240735668859
132 28 5.7.11.11.13.19.23.29.67.157.199.1453.2377.3697.5479.6337.20593.109297.219649.886381.1717321.5999137.266981\
089.661269577.39105782299.57154490053.68368660537.358976694345244191509108377
133 8 11.659.4943.67033.365876351.29043636306420266077.153373238287849222871747653.867787603275036915930138942285\
82105055028770779566151156583792136083460735911
134 9 11.13.44623.2291803.45464593.16180787699.17577834702049211.14194250210247370482234494581820525581.151867234\
5938013768669908366811731011574374727044533563648497
135 17 11.37.61.157.661.9781.22621.30781.80749.306829.5234401.21456901.22981681.86769286104133.1171991449748699216\
3161.45726761961907655567941.937464483504494178640285420770901
136 15 5.11.13.29.89.137.233.2551.2693651.17019338113.74876782031.79471453801.66900193189411.427152748915310957418\
697.501089808860298305508198111955017967765124897733633407801
137 5 11.7894763.99485649955791433.4270306101158898662140485488376974936909627.1909323323531032592824521040398699\
34637848025491327073514361270402632428137006957
138 19 7.11.13.19.47.139.157.277.829.8419.12421.22542577.129512587.39891250417.321218438243.49489630860836437.6279\
903241741823809.348670382471247108491803.44512779475648508632485424501
139 5 11.32830711631.149723271154501574581.13976446202665769757077661403698383112061728500003.1342252293639677786\
112433290408438740688955155541371153388457379745069
140 24 5.5.11.13.29.71.211.491.659.673.4943.13063.19141.22621.806821.6089651.71874601.85403261.425455031.103655092\
81.13156924369.1612092376073761.5298455664688950121.86121235964912696227980301
141 7 11.157.3504133.5136890928835357.10617249990997021.4509348865973648037702008076799297.9814237196082693742388\
7573866630190692479249397249110266970173233791660304869
142 7 11.13.5113.19597.48058613330617.67012200840037529491338272681863005761074227988731301506393709.379848485247\
97723599443142193849504165878058073506632204903320475097
143 9 11.11.23.477517.20369233.266981089.1068975337.28151299084766629509889009.9671522322865363783490594137718448\
1442578253854957266622804692882369624823117537634934976433917
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\
993.592734049.3684845809.9666387937.122138321401.15670947324691873.253877164546293805845289537
145 10 11.59.22621.24767.368939.8458141.152107892171.2833016858862791.3335672988472972523.185710694432907024929217\
0779930540291991415466502404994621328170606782147804924588018461
146 8 11.13.439.346059859.6325722879776491.50654608967364071.482571534122030596647601188990898075105644074814931.
10819801896323246322047439823759030271173906614865775084804891
147 11 11.157.659.4943.77617.7622826121.8177824843189.3053140047080689861.29014061524726574502110353.6633662756098\
833340120457931209406613.27268138641564464649627762762033543154129
148 15 5.11.13.29.149.48989.417509.3933841.5250079.21617621.4150805645839.30023720899326796981.1372147657634326661\
3693.196560666553286126588980353347341.551930982323870847324371378921584061
149 4 11.11027.1919442572897362836803025134228929025089.269761817023618738054898710331586374089228106297387313320\
439637456423454632878787306653982674484364732144252564402447
150 28 7.11.13.19.31.61.151.157.421.601.661.1951.2251.9781.19141.22621.35671.60601.73951.303551.395251.1696501.803\
42401.438472201.6625387201.9733315100252251.12629757106815551.304388904961188288704032230609001
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