- 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 1 101 [2nd Prime]
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 11.11.23.4093.8779
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 7.7.11.13.127.2689.459691.909091
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 7.11.11.13.23.4093.8779.599144041.183411838171
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 7.11.13.13.157.859.6397.216451.1058313049.388847808493
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 11.11.23.331.4093.5171.8779.9091.20163494891.318727841165674579776721
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 7.7.11.13.19.127.2689.52579.459691.909091.5274739.189772422673235585874485732659
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 11.11.23.463.4093.8779.24179.590437.909091.7444361.4539402627853030477.4924630160315726207887
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 7.11.11.13.19.23.4093.8779.52579.599144041.7093127053.183411838171.1411225248778861822822335393177961449383\
05111168717
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 7.7.11.13.127.211.241.2161.2689.9091.459691.909091.4147571.29970369241.1661378260814161.265212793249617641.
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 7.11.13.13.19.157.859.6397.52579.216451.461917.60034573.1058313049.388847808493.360968001568288955682865782\
24818258719817914995401933354161
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 11.11.11.23.4093.4357.8779.25169.1485397.102502981431359171598893.54447100137257929633229165267564677464420\
8265246405598834086237345292487
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 17.17.5882353.13355595217.440441087557478776852171834625638618412949059374084837579531425633661269203803741\
415744566525108430933975383194546209
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 11.11.23.859.4093.8779.51767.1058313049.22144088539.264752347289.104730101107272149081.34607524609209512562\
213651270561528862879196390936320471942325254862879783
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 7.7.7.11.13.127.197.2689.459691.909091.5076141624365532994918781726395939035533.142857157142857142856999999\
985714285714285857142857142855714285571428571428572857143
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 19841.976193.6187457.834427406578561.9999999999999999999999999999999900000000000000000000000000000000999999\
9999999999999999999999999900000000000000000000000000000001
161 12 11.47.139.967.2531.909091.1569936761.549797184491917.1203881882727712699967.23391028206417273637358380573.7\
775058388319250595762800404689.3309383964775818489317002654646529291847
162 8 101.109.9901.153469.2925721.999999000001.59779577156334533866654838281.341796090604674881849636380229010216\
626944264336893367139245334739710314141368913850637159182300704681
163 6 11.653.13693.14286890032106357.66953479943839030979655991920753816099754871899.1062881061565441896011124521\
24463274118441603168767263777500290285464677481570934480831778653
164 5 73.137.121553521.36637591407529194237097.224523660624839716255462035353024713180955543917433245626204857853\
9955402631665831489925370072038825037489223972536291929859656473
165 20 7.11.11.13.23.211.241.331.2161.4093.5171.8779.9091.599144041.4124507971.20163494891.183411838171.3187278411\
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