- 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 5 [1st Prime]
2 2 5.7
3 2 5.43
4 3 5.7.37
5 3 5.5.311
6 4 5.7.31.43
7 2 5.55987
8 4 5.7.37.1297
9 4 5.19.43.2467
10 6 5.5.7.11.101.311
11 3 5.23.3154757
12 7 5.7.13.31.37.43.97
13 3 5.3433.760891
14 6 5.7.7.29.197.55987
15 6 5.5.43.311.1171.1201
16 6 5.7.17.37.1297.98801
17 5 5.239.409.1123.30839
18 7 5.7.19.31.43.2467.46441
19 3 5.191.638073026189
20 9 5.5.7.11.37.101.241.311.6781
21 4 5.43.55987.1822428931
22 5 5.7.23.3154757.51828151
23 5 5.47.139.3221.7505944891
24 9 5.7.13.31.37.43.97.1297.1678321
25 6 5.5.5.311.18198701.40185601
26 7 5.7.53.937.3433.37571.760891
27 6 5.19.43.163.2467.623067280651
28 9 5.7.7.29.37.197.421.55987.5030761
29 2 5.7369130657357778596659
30 11 5.5.7.11.31.43.101.311.1171.1201.1950271
31 3 5.5333.49744740983476472807
32 9 5.7.17.37.353.1297.1697.98801.4709377
33 6 5.23.43.67.3154757.45686117391553
34 8 5.7.239.409.1123.30839.190537.12690943
35 7 5.5.71.311.55987.37863211.1469029031
36 13 5.7.13.19.31.37.43.73.97.541.2467.46441.55117
37 6 5.149.7919.12211.2569799.334286825813
38 6 5.7.191.1787.48713705333.638073026189
39 6 5.43.3433.760891.3143401.1262014275211
40 12 5.5.7.11.37.41.101.241.311.1297.6781.68754507401
41 3 5.8648131.1854850885886497427178961
42 10 5.7.7.29.31.43.197.55987.1822428931.2527867231
43 5 5.173.431.7383359.1048953903129961695599
44 9 5.7.23.37.58477.70489.863017.3154757.51828151
45 11 5.5.19.43.311.1171.1201.2161.2467.112771.19353635731
46 8 5.7.47.139.3221.113958101.990000731.7505944891
47 4 5.930911329.45110836129.17821718159716147
48 13 5.7.13.17.31.37.43.97.1297.5953.98801.1678321.473896897
49 5 5.55987.6527977.122694573317.600827908214213
50 10 5.5.5.7.11.101.311.18198701.40185601.3655688315536801
51 9 5.43.239.307.409.1123.30839.927037099.23412002806867
52 11 5.7.37.53.313.937.2341.3433.37571.760891.6291946695217
53 4 5.13781.357293834576449.7091531088740602980647
54 11 5.7.19.31.43.163.2467.46441.114967.883383463.623067280651
55 7 5.5.23.311.3154757.3675127061.3031462959351050977391
56 14 5.7.7.29.37.197.281.337.421.617.1297.55987.5030761.81035189089
57 7 5.43.191.47881.820459.638073026189.219815829325921729
58 6 5.7.59.32713.2727192763388813.7369130657357778596659
59 4 5.4866979762781.29050941569087.11522163007228653937
60 20 5.5.7.11.13.31.37.43.61.97.101.181.241.311.1171.1201.3541.6781.74161.1950271
61 4 5.42461491.80057377.17252803354297421346943980322273
62 5 5.7.5333.49744740983476472807.189491931189200021056951
63 10 5.19.43.379.2467.55987.8387947.616332907.1822428931.5239858051
64 12 5.7.17.37.353.1297.1697.2753.98801.145601.4709377.19854979505843329
65 9 5.5.311.3433.11831.760891.1420901.49398961.22533649654910414281
66 12 5.7.23.31.43.67.463.72073.3154757.51828151.127236649.45686117391553
67 3 5.904949028329910415467529.3023706637809542222940030043
68 11 5.7.37.239.409.1123.30839.190537.934117.12690943.8289713345361373993
69 8 5.43.47.139.3221.11731.7505944891.1236385853432057889667843739281
70 18 5.5.7.7.11.29.71.101.197.311.631.701.2311.9241.55987.585131.37863211.1469029031
71 2 5.3546245297457217493590449191748546458005595187661976371
72 18 5.7.13.19.31.37.43.73.97.541.577.1297.2467.3313.46441.55117.1678321.2478750186961
73 5 5.44764549877.2436094907761.8439148071138817.138721648424756087
74 10 5.7.149.3923.7919.12211.2569799.334286825813.1096762734443.2054788991719
75 12 5.5.5.43.311.601.1171.1201.82051.18198701.40185601.271041511600591342728451
76 9 5.7.37.191.1787.48713705333.638073026189.1030762781149.9736145643041809
77 6 5.23.55987.3154757.484847574510970082567.84002092056248016278479853
78 15 5.7.31.43.53.79.937.3433.9049.37571.760891.868999.3143401.8857759.1262014275211
79 4 5.1147240288157.26283825237209622143.197531251446059329471533015409
80 17 5.5.7.11.17.37.41.101.241.311.1297.6781.17761.98801.3696985841.68754507401.121206120881
81 8 5.19.43.163.2467.27767002339.623067280651.37725805717350619429950429139147
82 7 5.7.83.28537.8648131.1854850885886497427178961.4837453663777044375040181
83 8 5.167.499.17597.41580677.80781507941.605274844997.2589238104153304205575487
84 17 5.7.7.13.29.31.37.43.97.197.421.55987.5030761.804146449.1822428931.2527867231.6055984789
85 10 5.5.239.311.409.1123.30839.26807981.20891158391.94260123386979283872547675418641
86 7 5.7.173.431.7383359.1048953903129961695599.412482688627178079807598675848631
87 7 5.43.2694217.1833921547.4706691035521.1357610070580129.7369130657357778596659
88 12 5.7.23.37.89.1297.58477.70489.863017.3154757.51828151.150080764792922988676714149209
89 4 5.8011.2064441331.21777198152670085407545228412531133078179560879352228259
90 18 5.5.7.11.19.31.43.101.311.1171.1201.2161.2467.46441.112771.1950271.19353635731.4760317816590150361
91 6 5.3433.55987.760891.48215910563832798697.1838738460168896001275668872592841923
92 13 5.7.37.47.139.3221.6073.2259889.9564781.113958101.990000731.7505944891.128407494947883673
93 9 5.43.5333.186187.290869963.659988451.842660004553.1358539033057.49744740983476472807
94 6 5.7.930911329.45110836129.17821718159716147.534577564460822791430647883899825591
95 11 5.5.191.311.571.1901.825838991.638073026189.1298704628041.25425408247171.2995523312517361
96 20 5.7.13.17.31.37.43.97.193.353.1297.1697.5953.8641.98801.1678321.4709377.473896897.688490113.6931400449
97 6 5.389.1747.1586365166597.18969653181299397175271.29579867253585988507046633033646287
98 12 5.7.7.7.29.197.55987.6527977.122694573317.600827908214213.762332681442053.90179616936384011
99 13 5.19.23.43.67.2467.16633.3154757.18380539.18414001.226407819331.45686117391553.38167293140100433
100 16 5.5.5.7.11.37.101.241.311.6781.343801.18198701.22243201.40185601.3655688315536801.1748016735462726601
101 3 5.1275678077.614561277123903327309455926778985780630117744484485521069032496702063
102 17 5.7.31.43.103.239.307.409.919.1123.30839.190537.12690943.927037099.980146969.99617785207.23412002806867
103 5 5.2473.5563.160681.12767653355301160780822191431160569156710177181791578590824899905497
104 15 5.7.37.53.313.937.1297.2341.3433.37571.192193.760891.14090441.6291946695217.8284434950526240125727017
105 15 5.5.43.71.211.311.1171.1201.35281.55987.58171.37863211.1469029031.1822428931.61921104791950322094158011
106 9 5.7.107.13781.97351567.33685364386033.357293834576449.71080464397105403.7091531088740602980647
107 4 5.643.5044140393054571.11277573027736036722713586016689525331842510247329583574661742579
108 21 5.7.13.19.31.37.43.73.97.109.163.541.2467.46441.55117.114967.591841.171467713.883383463.623067280651.932461\
936453
109 3 5.30726149494277.42855656091880208870012451741752392192104225262820633109434962552795607
110 15 5.5.7.11.11.23.101.311.1031141.3154757.51828151.3675127061.16336066781.84155540944421.3031462959351050977391
111 11 5.43.149.7919.12211.2569799.89728627.187333846633.334286825813.1487716834806007369.3561693323285489089
112 20 5.7.7.17.29.37.113.197.281.337.421.617.1297.4817.55987.98801.4048129.5030761.81035189089.101894402390128830\
75423169
113 5 5.107351.54466954894479739.201436862864351419099.1448915804946152111264738471459190964062624173
114 14 5.7.31.43.191.457.1787.47881.137713.820459.48713705333.638073026189.219815829325921729.190324492938225748951
115 12 5.5.47.139.311.461.1151.3221.44851.7505944891.257917526307345124973861.40752608049190149321816351186154151
116 9 5.7.37.59.349.32713.2727192763388813.7369130657357778596659.105134528469779071670501631159328247729809
117 12 5.19.43.2467.3433.6553.760891.3143401.5958157609.1262014275211.39031258670353.69488040914581799577604095001
118 6 5.7.4866979762781.29050941569087.11522163007228653937.1163658999540220416412446482708919139658591671
119 11 5.239.409.1123.16661.30839.55987.29032062767.103198889691409.12405291558509977.6783899150200555463142339438\
01
120 26 5.5.7.11.13.31.37.41.43.61.97.101.181.241.311.1171.1201.1297.3541.6781.13441.74161.1678321.1950271.68754507\
401.592575109627400042641
121 6 5.23.3154757.4163261521.1304380464883.7274439979153836750841469647330331057551053697734443556853774027
122 7 5.7.9151.42461491.80057377.17252803354297421346943980322273.4577830180684945360162613198286645069141001
123 7 5.43.8648131.25512169.141304123.1854850885886497427178961.41498448376119216462262063079126262444529017073
124 7 5.7.37.5333.49744740983476472807.189491931189200021056951.47552767764994953232854569779888803761183529901
125 11 5.5.5.5.311.18198701.40185601.9536585501.117811792772681609501.105875321588567599765751.1098445767808750903\
973251
126 20 5.7.7.19.29.31.43.127.197.379.2467.46441.55987.8387947.616332907.1822428931.2527867231.5239858051.154260982\
009.528921402377887
127 2 5.133733063818254349335501779590081460423013416258060407531857720755181857441961908284738707408499507
128 15 5.7.17.37.353.1297.1697.2753.98801.145601.4709377.4926056449.19854979505843329.447183309836853377.287537871\
97056661026689
129 8 5.43.43.173.431.7383359.1048953903129961695599.450890019061015235057788732310222433830055241504017824833016\
3977
130 17 5.5.7.11.53.101.131.311.937.3433.11831.37571.760891.1420901.49398961.22533649654910414281.19993078229848352\
3040584108028862541
131 6 5.263.3931.6551.1284827442574221936870974393373403.19917397922626842334449833677404096613537638684348856178\
059
132 23 5.7.13.23.31.37.43.67.97.463.3037.58477.70489.72073.96493.622513.863017.3154757.4629769.51828151.127236649.
16266405013.45686117391553
133 9 5.191.11971.55987.188861.1101773.638073026189.164331230229374083.223393431463263911519708964052259906781762\
9985127899
134 8 5.7.269.418349.90571543952974835963.191757760647639121941197.904949028329910415467529.302370663780954222294\
0030043
135 15 5.5.19.43.163.311.1171.1201.2161.2467.112771.175509721.19353635731.623067280651.606162141679902054991801871\
110954177324256409961
136 16 5.7.37.137.239.409.1123.1297.5849.30839.190537.934117.12690943.1536052010629489.8289713345361373993.5142057\
6374811381403609445473
137 6 5.6577.25247731.53280671.60042056488501962187.1522214510879021329626941843334490679379355130104242302631442\
9342733
138 14 5.7.31.43.47.139.3221.11731.113958101.990000731.7505944891.24648570768391.816214079084081564521.12363858534\
32057889667843739281
139 5 5.557.21407.128159.1904994318294264032001011698767856776424905969372788422268974477324726371768074195193068\
08486559
140 25 5.5.7.7.11.29.37.71.101.197.241.311.421.631.701.2311.6781.9241.55987.585131.5030761.37863211.1469029031.135\
09594555661.1708114263204222806519161
141 11 5.43.283.13537.753554761.930911329.45110836129.122320721569.989671414201.17821718159716147.9318249558895921\
24612176563793529
142 6 5.7.37489.11735704315681.5757417485448059422914748320317168839.35462452974572174935904491917485464580055951\
87661976371
143 8 5.23.859.3433.760891.3154757.62545486153056268832471.370492708153183538667516076628295958764609620252358691\
48795940042759
144 23 5.7.13.17.19.31.37.43.73.97.541.577.1297.2467.3313.5953.46441.55117.98801.1678321.473896897.2478750186961.2\
2452257707354557235348829785471057921
145 7 5.5.311.132241.150433631394488258261.7369130657357778596659.59580423676805748420140957215180302958743471829\
183098610333631
146 11 5.7.293.439.120855443.1389436303.44764549877.2436094907761.8439148071138817.138721648424756087.422188345937\
8030470824476438562257
147 9 5.43.55987.6527977.32093041.1822428931.122694573317.600827908214213.721593495645162209494937916430925440485\
5094763766767407121
148 15 5.7.37.37.149.3923.4441.7919.12211.2569799.334286825813.1096762734443.2054788991719.3300043400835529.190892\
407618022993841069346975403017
149 4 5.38538553.1318713554713829548602512956686040272376450743377909.3463541760502538278596775684588153902182357\
12359759067327
150 22 5.5.5.7.11.31.43.101.151.311.601.1171.1201.82051.168151.1950271.18198701.40185601.573178201.918628247364601.
3655688315536801.271041511600591342728451
151 4 5.2623968964411.4956504421137000338429923175878885954098593563.48723066259314477894157817245533780187559387\
828254264047307
152 14 5.7.37.191.1297.1787.4561.48713705333.638073026189.1030762781149.355518408146401.9736145643041809.502818748\
6478069273.13038313680704041577
153 14 5.19.43.239.307.409.1123.2467.30839.927037099.9757142011.23412002806867.12644443230579801886843521019.40670\
77533669936706351248605374735249
154 12 5.7.7.23.29.197.55987.3154757.51828151.484847574510970082567.84002092056248016278479853.5701908713415125406\
1666621717728669167279862151
155 8 5.5.311.5333.3559267608341.49744740983476472807.208210289142572055121.2686345232069105360022926492125783168\
511035955840811134515391
156 26 5.7.13.13.31.37.43.53.79.97.157.313.937.2341.3433.8893.9049.37571.760891.868999.3143401.8857759.12620142752\
11.6291946695217.197743936282933.6429178169720749
157 6 5.6446107.6423436771.81127299702871294523556776543.8695994904356302134775281276601.101210377513117399538507\
3322337706122495245797
158 10 5.7.317.5531.2832941.1147240288157.99687312908749681.26283825237209622143.197531251446059329471533015409.85\
92319153827988586815914947213
159 8 5.43.13781.118721004139.67587459957091.357293834576449.7091531088740602980647.88342645123243360518614293208\
997935963729713364951837539
160 23 5.5.7.11.17.37.41.101.241.311.353.1297.1697.6781.9601.17761.98801.4709377.3696985841.68754507401.1212061208\
81.2810800069601.2347110840158563816028186318246561
161 11 5.47.139.3221.10949.55987.593447.7505944891.491787574454982121.3358586137753609961516447641418203949.403733\
622730561138499463252012494935013
162 16 5.7.19.31.43.163.1783.2467.46441.114967.149862151.883383463.27767002339.623067280651.3920344350409644507093\
715799617.37725805717350619429950429139147
163 4 5.653.2378523250342970947582043555610171717174452063.888102772526021838488123845334486037375412519645053051\
472793437455099303804577
164 11 5.7.37.83.28537.4046701.8648131.174521133001.1854850885886497427178961.4837453663777044375040181.2461793762\
06361788466441901958293949537091001
165 15 5.5.23.43.67.311.331.1171.1201.3154757.3675127061.45686117391553.13724862774476458441.303146295935105097739\
1.46975793563298851302025905551105268509881
166 13 5.7.167.499.17597.710813.41580677.6547890917.80781507941.605274844997.21608536062644851877771.2589238104153\
304205575487.54824363564629401758409941
167 7 5.19466857.10301691259.229027359614687.9703107759710968661.2200446540213260920441013.1822952692682777153874\
022559086738173481449195038610359
168 25 5.7.7.13.29.31.37.43.97.197.281.337.421.617.1297.55987.1678321.5030761.804146449.1822428931.2527867231.6055\
984789.81035189089.1176362433121.19100900655540830489319601
169 9 5.677.3433.3719.760891.1420277.3066042413300025661761581713.351082413599031251316269147227.6400588768393061\
926708979473301321313835119309935933
170 18 5.5.7.11.101.239.311.409.1123.30839.190537.12690943.26807981.1383638161.20891158391.72085651321561.74079767\
2014674927371043791.94260123386979283872547675418641
171 12 5.19.19.43.191.2467.47881.820459.638073026189.219815829325921729.25896916098621777025320461067950269867.221\
9821955745760247086895900084483710540707577
172 12 5.7.37.173.431.1033.6501601.7383359.1048953903129961695599.2914764989376043020733.4124826886271780798075986\
75848631.11510167124054813592781820845997449
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26518712612326479679426743760419
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