- 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 2 2.2
2 2 2.5
3 3 2.2.7
4 2 2.41
5 3 2.2.61
6 3 2.5.73
7 3 2.2.547
8 3 2.17.193
9 5 2.2.7.19.37
10 4 2.5.5.1181
11 4 2.2.67.661
12 3 2.41.6481
13 3 2.2.398581
14 4 2.5.29.16493
15 6 2.2.7.31.61.271
16 2 2.21523361
17 5 2.2.103.307.1021
18 4 2.5.73.530713
19 4 2.2.2851.101917
20 3 2.41.42521761
21 7 2.2.7.7.43.547.2269
22 4 2.5.5501.570461
23 3 2.2.23535794707
24 6 2.17.97.193.577.769
25 5 2.2.61.151.22996651
26 4 2.5.53.4795973261
27 7 2.2.7.19.37.19441.19927
28 4 2.41.430697.647753
29 5 2.2.523.6091.5385997
30 6 2.5.5.73.1181.47763361
31 4 2.2.6883.22434744889
32 2 2.926510094425921
33 7 2.2.7.67.661.25411.176419
34 4 2.5.956353.1743831169
35 5 2.2.61.547.374857981681
36 4 2.41.6481.282429005041
37 5 2.2.18427.107671.56737873
38 4 2.5.5301533.25480398173
39 8 2.2.7.79.157.2887.10141.398581
40 5 2.17.193.14401.128653413121
41 4 2.2.33703.270547105429567
42 7 2.5.29.73.2857.16493.109688713
43 3 2.2.82064241848634269407
44 5 2.41.89.2382953.56625998353
45 10 2.2.7.19.31.37.61.271.387631.755551
46 4 2.5.12553493.70601370627701
47 5 2.2.16921.256057.1534179947851
48 4 2.76801.21523361.24127552321
49 5 2.2.547.857643277.127522693159
50 8 2.5.5.5.101.1181.394201.61070817601
51 9 2.2.7.103.307.613.1021.30091.129159847
52 4 2.41.2093124281.37644053098601
53 4 2.2.78719947.61557605176233223
54 5 2.5.73.530713.150094634909578633
55 7 2.2.61.67.661.659671.24472341743191
56 6 2.17.113.193.19489.36214795668330833
57 8 2.2.7.2851.3079.53923.101917.1162320517
58 4 2.5.12413.37945127666529000523013
59 4 2.2.3187.1108439448677340328268341
60 7 2.41.241.6481.298801.26050081.42521761
61 4 2.2.367.86630432442539925437931403
62 5 2.5.1403808961.2860659169.9500438809
63 13 2.2.7.7.19.37.43.127.547.883.2269.2521.550554229
64 2 2.1716841910146256242328924544641
65 5 2.2.61.398581.105919308797935444986721
66 6 2.5.73.5501.570461.13490012358249728401
67 4 2.2.5390821.4299412981246169975118907
68 5 2.41.137.6458150122561.3833564416504313
69 9 2.2.7.139.5107.9109.132619.1476463.23535794707
70 9 2.5.5.29.1181.16493.28596961.32839661.94373861
71 7 2.2.853.2131.82219.3099719989.4052490063499
72 8 2.17.97.193.577.769.1418632417.56227703611393
73 4 2.2.439.38488154120055537150068589763279
74 5 2.5.149.953861.142659759801404920771391593
75 12 2.2.7.31.61.151.271.2551.26251.119101.1530601.22996651
76 6 2.41.761.31769.3302353.278733912072436804273
77 6 2.2.67.547.661.56495392933101222275861053369
78 7 2.5.53.73.325729.4795973261.271722723752757889
79 5 2.2.66361.327220181191.567239060331150635317
80 5 2.8194721.21523361.700984481.597747428754241
81 12 2.2.7.19.37.163.1297.19441.19927.208657.224209.5879415781
82 5 2.5.2088869.110767897.574933708017116710865237
83 6 2.2.499.997.2466097.813201725710097952736361977
84 10 2.41.337.673.1009.6481.167329.430697.647753.2108826721
85 9 2.2.61.103.307.1021.1531.224401.13271362257832586268931
86 7 2.5.173.470593.2641485701.55473422113.903239908009
87 11 2.2.7.349.523.6091.142159.261697.1383301.5385997.37464463
88 6 2.17.193.6922081.15656839738849.1363620137403810529
89 5 2.2.264331.1125706177.2444322641415331355533344283
90 9 2.5.5.73.1181.176401.530713.47763361.452808441334403281
91 8 2.2.547.8737.398581.595141.2354116499281.2452788561133
92 4 2.41.1289.743170846305411756447828504941347481129
93 9 2.2.7.373.6883.541447.3058399.22434744889.88239050462461
94 4 2.5.563838649753.125384283132205265785477849439329
95 8 2.2.61.2851.39901.101917.29574984661.25349956307509384561
96 6 2.7297.68737.96948097.70613232600577.926510094425921
97 5 2.2.459991849.503803759819.20591603926857377806745611
98 9 2.5.29.197.16493.16661.251325313.426712077457.34013149495921
99 14 2.2.7.19.37.67.199.397.661.4357.25411.176419.337448233.378450588583
100 6 2.41.133201.42521761.18055139801.61459926512826500975801
101 4 2.2.379963.1017291527198723292208309354658785077827527
102 8 2.5.73.409.956353.49637281.1743831169.187668407555352123529
103 5 2.2.619.3661040653.1535090713229126909942383374434289901
104 7 2.17.193.1249.13729.475356961.780464337846444296785447886881
105 16 2.2.7.7.31.43.61.211.271.547.1051.2269.24151.3369031.3454081.374857981681
106 6 2.5.90313.609422621.1481588501.460740683381672021327601001
107 5 2.2.643.100153.4375617272295428356111030724847180250451293
108 9 2.41.2161.6481.15121.10512289.16569793.282429005041.3958044610033
109 6 2.2.1992772009.5933538193981.7696680097963.27866471458012723
110 8 2.5.5.1181.5501.177101.570461.927319729649066047885192700193701
111 10 2.2.7.223.18427.107671.25709599.56737873.78539161.64326272436179833
112 9 2.14561.45697.101921.643553.21523361.67765601.378369377.5685756833
113 5 2.2.362053.156472231.3626038130651680583578933430931295416667
114 9 2.5.73.457.2281.7753.5301533.25480398173.3093009324389492947932121
115 7 2.2.61.6211.48991.23535794707.4232020527831352569905247101633701
116 5 2.41.233.4177.277991360381003661564752468378981135693842991081
117 16 2.2.7.19.37.79.157.937.1171.2887.10141.37441.398581.2161927.43264261.6079786129
118 3 2.5.19966781110160346782368664772328944885905284750420567849
119 8 2.2.103.307.547.1021.7719769.1098440018152695917905622020432593239209
120 11 2.17.97.193.577.769.4801.13921.14401.128653413121.51383579021948491809121
121 8 2.2.67.661.727.2179.74779.256900099994436377787031292704214632407889
122 6 2.5.180317.262199473.39504363995133913.865923475887669700104067517
123 9 2.2.7.33703.2337001.40049539.130099576237.15606752580607.270547105429567
124 4 2.41.81516726600079249.21775844224805408923066692226998392022049
125 8 2.2.61.151.2251.100501.22996651.2278135721427929786778229917312351656251
126 11 2.5.29.73.2857.16493.530713.1180369.109688713.475110761833.40226570408250073
127 6 2.2.22861.63247.52147471.13030796206528578864006320088875125740738871
128 6 2.257.275201.138424618868737.3913786281514524929.153849834853910661121
129 9 2.2.7.1549.27091.1651439941.28395735937.7822354593043.82064241848634269407
130 8 2.5.5.53.1181.4795973261.82669546937641.85515537811724373585467087637721
131 5 2.2.787.114742271896804438572098194909.881304930739946561320646289889
132 9 2.41.89.6481.660001.2382953.11096576833.56625998353.20431242370346923068097
133 9 2.2.547.2851.11173.101917.1084483.1256610601.295966423763788589324732476512991
134 9 2.5.269.1609.1877.11257.50546266229.719571227339189.2583985068397606535128513
135 18 2.2.7.19.31.37.61.271.3511.4591.19441.19927.387631.451441.487891.755551.73321201.86548771
136 8 2.17.17.193.5641553.23229617.2670091735108484737.1981703105982814843334309489
137 4 2.2.82093596209179.706712258201940254667826642673008768387229115048379
138 6 2.5.73.12553493.70601370627701.1076050302914923449767311155851656076154481
139 5 2.2.26436515641.1113626506203380968993.17735794220172313692220944999595159
140 9 2.41.281.18481.430697.647753.42521761.369879560116990841.3353336738929580410561
141 9 2.2.7.283.16921.256057.1534179947851.93953407627827115729.3798402051319990403467
142 5 2.5.3672239816477.9159751032889.167649964410524100307472482005060261887957
143 7 2.2.67.661.53197.398581.45040109496710622959391872603313706446921645052790773
144 6 2.76801.21523361.24127552321.77826286120321.81754966841140318493187568203841
145 10 2.2.61.523.6091.5385997.59086051.25481953741.3159421788711031.76455796243959454561
146 6 2.5.293.18678646095653.86782247836514775846688349.961743544915378365754610333
147 16 2.2.7.7.7.43.547.1471.2269.3529.15583.119471899.200568859.857643277.127522693159.882757098511
148 6 2.41.410257.9537896093307601.31199592961514012689.4106523677041507922228794417
149 4 2.2.4482722618976860674653013440107317.6878046306591338324108989767203186713
150 13 2.5.5.5.73.101.1181.1201.55201.394201.47763361.61070817601.2229552891865882714320177992401
151 6 2.2.472027.645979.135286639.6726812506767780473723505133857482672236342795606501
152 4 2.17.193.507451442443788899165240329482668362950054541832902585238747279444641
153 15 2.2.7.19.37.103.307.613.919.1021.30091.436357.129159847.133395235891527691.123343105382171675857
154 8 2.5.29.5501.16493.570461.671352452318708161.2974112460006073547613794168096436806641
155 9 2.2.61.1861.6883.22434744889.33131555630426311.318620421994509961.121462982451478217731
156 7 2.41.6481.309746737.2093124281.37644053098601.20795134293690804171286866969789777553
157 6 2.2.252457.159420524134654609.32129434337475049222622287.156438005527933564247063011
158 5 2.5.317.10393819190815276250780568850989337.73675624514425268628805034064478665461
159 8 2.2.7.48973.78719947.61557605176233223.395794533062864139307.2769035095381770614187391
160 4 2.926510094425921.4151768361337614527605197761.2839798262237352133440978975949121
161 8 2.2.547.967.1933.23535794707.5468575720021.124512589982501120520678542758850232589558399
162 7 2.5.73.530713.150094634909578633.82434619394313344569.41019075946094411081052200020897
163 5 2.2.8483499631.4956470591980320134353.3507171060957186767994912136200333814689659449
164 6 2.41.41.2297.32326369.7088757890453145334311443322801793110058505541970400820190920577
165 18 2.2.7.31.61.67.271.331.661.991.4951.25411.176419.659671.1286011.4968781621.11123788282861.24472341743191
166 5 2.5.2591261.6956557366277.88353295700662823099667599460762780905604112393714626601849
167 5 2.2.41332144291.196098784741.1473759805801789118598508577921021242424939524192662637837
168 11 2.17.97.113.193.577.769.13441.19489.36214795668330833.473451024093683360527418040621798755737921
169 7 2.2.4057.351859.398581.7336932438768271.25752967047580308239006833030039254422639813234017
170 8 2.5.5.1181.956353.7674481.1743831169.1706953634650967930299490233845839250457448201276787601
171 15 2.2.7.19.19.37.2851.3079.25309.53923.101917.1162320517.42509373931.102310358933917.1676620643529235921057
172 5 2.41.226519873.21376165893692833.29241916907334820616557688889440878559426168577846725809
173 7 2.2.993367.14427163.125330011023211.156026417563831897.31072285114904997233712868061148862483
174 8 2.5.73.12413.19437193.1388985225193.37945127666529000523013.11256710946186882997409087921239729
175 10 2.2.61.151.547.22996651.23185675801.374857981681.4260648635770037050051.18265797539870818825168051
176 7 2.353.19009.21523361.62210098369.205188547169.255066113304108571577343700262256544056086044033
177 10 2.2.7.3187.76819.15743388547.38926393657.1669126011067.363002702388730267.1108439448677340328268341
178 4 2.5.1192464167514295068582330293.709803280757497203996320461865063802526226069876477910653
179 6 2.2.3755779.47029186391731.9248363581047133.3886084268132710540164562649868800513379104792251
180 11 2.41.241.6481.298801.26050081.42521761.116809201.282429005041.2081711451601.26166382506293070985608961
181 5 2.2.51043.715722801240612811884999961.1563889515958819802226972824170738835419881870248693287
182 7 2.5.29.53.16493.4795973261.563920755493974354012062097199694635409966586035902917973392670446241
183 10 2.2.7.367.189223.279666823.6117064141.109870115206699.64961725048119249391.86630432442539925437931403
184 9 2.17.193.112241.2057857.2190337.4475616001.79781171123090497.5205275952266186599636069674258967961777
185 10 2.2.61.18427.107671.56737873.10322251861.4183611889192231.55223513719943993551.282595984982093378351221
186 9 2.5.73.1403808961.2860659169.5853105289.9500438809.1137273143641.299544676041927564723805161992460049
187 9 2.2.67.103.307.661.1021.18177792435744585993179560027.1602492098135068548896997626193620844099621992083
188 5 2.41.4513.2563193.526908728620534667129849121206725791252980403065501629068461558054330796217049
189 20 2.2.7.7.19.37.43.127.379.547.883.2269.2521.19441.19927.84673.30354157.550554229.60439117411.574377113178519\
41680421581
190 9 2.5.5.1181.5301533.25480398173.70578185345621.4975481820118441.1605850768243931752986453521337428048981
191 5 2.2.176349919.854888497.22377672940509270880756801912134547524825420533660917137902318707609042309
192 7 2.280321.15687169.339601921.3167109739009.2492798330262060062236523521.1716841910146256242328924544641
193 7 2.2.167911.679747.7967041.32685391867.1021562573902349393666967130764482193088889012711317938252390919
194 5 2.5.389.1209361321548310091770485682269470852086753.77449343291186907889503299808279247610860106861
195 16 2.2.7.31.61.79.157.271.2887.10141.398581.419437201.54975287251.3785998525531.56919999055921.105919308797935\
444986721
196 6 2.41.430697.647753.342875768396449.418055555418935587626051091603744048562522536622075430660388662769
197 6 2.2.8714655511.24742960162351.49676157359100536013871955394289.229602870983390658750727278114059547829
198 10 2.5.73.5501.530713.570461.4401193897.3571691108833.13490012358249728401.114472588217384521018097943019137001
199 5 2.2.2389.5484043.1689478606352600260310382688294322005349159187601803816212045717030717783562666965221
200 7 2.17.193.401.14401.128653413121.54482419084387063896343257364278812798757304500791752529639086947312737201
201 11 2.2.7.32563.275371.1351123.5390821.5931946571197.56755588835611.301027886874675599533.429941298124616997511\
8907
202 6 2.5.1189912513.69531972955397.96207837407260037.30031942012227933219100853982463211359125974731460998393
203 8 2.2.523.547.6091.5385997.398858013926743539066881263.478952751436011946972423178548637101114935294309822847
204 8 2.41.137.6481.6458150122561.3833564416504313.53958784909638588059956801.221200680720606092053543425481471681
205 8 2.2.61.33703.1164811.270547105429567.6749930086876080531836671.36897861904835148688587290115319536428272306\
21
206 6 2.5.1522395676033.7625998476893.3276710054092300162911791926389341.508998148480825018649601011436723422737
207 14 2.2.7.19.37.139.5107.9109.132619.1476463.5724793.23535794707.7671021268285255340377531.22550950495434610373\
064930478243
208 6 2.1614913.20634017.21523361.2763736726854088129.439593550072300534251634135007764475254567347223143808588769
209 10 2.2.67.661.2851.8779.101917.146719.227123983153149333776852194879434768181.34719041814839626118877698892045\
2842129
210 17 2.5.5.29.73.1181.2857.4201.16493.28596961.32839661.47763361.94373861.109688713.7035101641.871383685710721.2\
22665666643176401
211 6 2.2.892531.189250543.2645385196586430249915420486682565415343.263254250526748520708907169471841314422031017\
73
212 6 2.41.1079398849.1135214993571937.1331247175934064574966369960667813849.105529378287347488808630393952458747\
3513
213 14 2.2.7.853.2131.82219.210019.49682251.55126531.3099719989.12685215427.4052490063499.13055351529193.845693900\
02476091110121
214 8 2.5.582937.2827369.3096650621.481786776662041.499965737866229.103337289962616844319854516999125111744200944\
279921
215 5 2.2.61.82064241848634269407.1903382082546053114130884224405314394243691935878252995815100071102921798252452\
01
216 10 2.17.97.193.577.769.1155169.1418632417.56227703611393.43935457587280787548813564053545094646786981407265038\
7452813889
217 12 2.2.547.1303.6883.89839.174469.35258161.22434744889.1023879682351.70961158264970285776591.19404800296096491\
21651152163853
218 5 2.5.2617.5233.751413635152391220555020028806404277682678388634430663962506269690398417622699238580739045812\
809
219 9 2.2.7.439.877.741973.91088487902952698797983939757.11009154363058726777293427189333.38488154120055537150068\
589763279
220 10 2.41.89.7481.15401.131561.2382953.42521761.56625998353.1459129530571870351946267230441980296015896719783440\
814558211961
221 9 2.2.103.307.1021.398581.506533.278300881.382910293648368568314248031658902581696912930968697755668745106402\
680464935197
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