Base 4 Repunits
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
100: | \[{4^{100}-1\over3}\] | 53 × 11 × 17 × 31 × 41 × 101 × 251 × 401 × 601 × 1801 × 4051 × 8101 × 61681 × 268501 × 340801 × 2787601 × 3173389601 |
101: | \[{4^{101}-1\over3}\] | 7432339208719<13> × 341117531003194129<18> × 845100400152152934331135470251<30> |
102: | \[{4^{102}-1\over3}\] | 3 × 5 × 7 × 13 × 103 × 137 × 307 × 409 × 953 × 2143 × 2857 × 3061 × 6529 × 11119 × 13669 × 26317 × 43691 × 131071 × 1326700741 |
103: | \[{4^{103}-1\over3}\] | 2550183799 × 415141630193<12> × 8142767081771726171<19> × 3976656429941438590393<22> |
104: | \[{4^{104}-1\over3}\] | 5 × 17 × 53 × 157 × 257 × 1613 × 2731 × 8191 × 858001 × 308761441 × 78919881726271091143763623681<29> |
105: | \[{4^{105}-1\over3}\] | 3 × 72 × 11 × 31 × 43 × 71 × 127 × 151 × 211 × 281 × 331 × 337 × 5419 × 29191 × 86171 × 106681 × 122921 × 152041 × 664441 × 1564921 |
106: | \[{4^{106}-1\over3}\] | 5 × 107 × 6361 × 69431 × 15358129 × 20394401 × 586477649 × 28059810762433<14> × 1801439824104653<16> |
107: | \[{4^{107}-1\over3}\] | 643 × 84115747449047881488635567801<29> × 162259276829213363391578010288127<33> |
108: | \[{4^{108}-1\over3}\] | 33 × 5 × 7 × 13 × 17 × 19 × 37 × 73 × 109 × 241 × 433 × 38737 × 87211 × 246241 × 262657 × 279073 × 33975937 × 138991501037953<15> |
109: | \[{4^{109}-1\over3}\] | 104124649 × 745988807 × 870035986098720987332873<24> × 2077756847362348863128179<25> |
110: | \[{4^{110}-1\over3}\] | 52 × 112 × 23 × 31 × 41 × 89 × 397 × 683 × 881 × 2113 × 2971 × 3191 × 201961 × 48912491 × 415878438361<12> × 3630105520141<13> |
111: | \[{4^{111}-1\over3}\] | 3 × 7 × 223 × 1777 × 3331 × 17539 × 321679 × 25781083 × 26295457 × 319020217 × 616318177 × 107775231312019<15> |
112: | \[{4^{112}-1\over3}\] | 5 × 17 × 29 × 43 × 113 × 127 × 257 × 449 × 2689 × 5153 × 65537 × 15790321 × 183076097 × 54410972897<11> × 358429848460993<15> |
113: | \[{4^{113}-1\over3}\] | 227 × 3391 × 23279 × 48817 × 65993 × 1868569 × 636190001 × 1066818132868207<16> × 491003369344660409<18> |
114: | \[{4^{114}-1\over3}\] | 3 × 5 × 7 × 13 × 229 × 457 × 571 × 32377 × 131101 × 160969 × 174763 × 524287 × 525313 × 1212847 × 160465489 × 275415303169<12> |
115: | \[{4^{115}-1\over3}\] | 11 × 31 × 47 × 691 × 14951 × 178481 × 2796203 × 4036961 × 1884103651 × 345767385170491<15> × 2646507710984041<16> |
116: | \[{4^{116}-1\over3}\] | 5 × 17 × 59 × 233 × 1103 × 2089 × 59393 × 3033169 × 107367629 × 536903681 × 82280195167144119832390568177<29> |
117: | \[{4^{117}-1\over3}\] | 32 × 7 × 19 × 73 × 79 × 937 × 2731 × 6553 × 8191 × 86113 × 121369 × 22366891 × 7830118297<10> × 5302306226370307681801<22> |
118: | \[{4^{118}-1\over3}\] | 5 × 1181 × 2833 × 3541 × 37171 × 157649 × 174877 × 179951 × 5521693 × 1824726041 × 104399276341<12> × 3203431780337<13> |
119: | \[{4^{119}-1\over3}\] | 43 × 127 × 239 × 20231 × 43691 × 131071 × 823679683 × 62983048367<11> × 131105292137<12> × 143162553165560959297<21> |
120: | \[{4^{120}-1\over3}\] | 3 × 52 × 7 × 11 × 13 × 17 × 31 × 41 × 61 × 97 × 151 × 241 × 257 × 331 × 673 × 1321 × 61681 × 394783681 × 4278255361 × 4562284561<10> × 46908728641<11> |
121: | \[{4^{121}-1\over3}\] | 23 × 89 × 683 × 727 × 117371 × 11054184582797800455736061107<29> × 1786393878363164227858270210279<31> |
122: | \[{4^{122}-1\over3}\] | 5 × 733 × 1709 × 3456749 × 368140581013<12> × 667055378149<12> × 768614336404564651<18> × 2305843009213693951<19> |
123: | \[{4^{123}-1\over3}\] | 3 × 7 × 83 × 739 × 13367 × 165313 × 3887047 × 164511353 × 8831418697<10> × 13194317913029593<17> × 177722253954175633<18> |
124: | \[{4^{124}-1\over3}\] | 5 × 17 × 5581 × 8681 × 49477 × 290657 × 384773 × 715827883 × 2147483647 × 3770202641 × 1141629180401976895873<22> |
125: | \[{4^{125}-1\over3}\] | 11 × 31 × 251 × 601 × 1801 × 4051 × 229668251 × 269089806001<12> × 4710883168879506001<19> × 5519485418336288303251<22> |
126: | \[{4^{126}-1\over3}\] | 32 × 5 × 72 × 13 × 19 × 29 × 37 × 43 × 73 × 109 × 113 × 127 × 337 × 1429 × 5419 × 14449 × 92737 × 649657 × 40388473189<11> × 77158673929<11> × 118750098349<12> |
127: | \[{4^{127}-1\over3}\] | 56713727820156410577229101238628035243<38> × 170141183460469231731687303715884105727<39> |
128: | \[{4^{128}-1\over3}\] | 5 × 17 × 257 × 641 × 65537 × 274177 × 6700417 × 67280421310721<14> × 59649589127497217<17> × 5704689200685129054721<22> |
129: | \[{4^{129}-1\over3}\] | 3 × 7 × 431 × 1033 × 9719 × 2099863 × 1591582393 × 2932031007403<13> × 15686603697451<14> × 11053036065049294753459639<26> |
130: | \[{4^{130}-1\over3}\] | 52 × 11 × 31 × 41 × 53 × 131 × 157 × 521 × 1613 × 2731 × 8191 × 51481 × 409891 × 7623851 × 34110701 × 108140989558681<15> × 145295143558111<15> |
131: | \[{4^{131}-1\over3}\] | 263 × 1049 × 4744297 × 182331128681207781784391813611<30> × 10350794431055162386718619237468234569<38> |
132: | \[{4^{132}-1\over3}\] | 3 × 5 × 7 × 13 × 17 × 23 × 67 × 89 × 241 × 353 × 397 × 683 × 2113 × 7393 × 20857 × 312709 × 599479 × 4327489 × 1761345169 × 2931542417 × 98618273953<11> |
133: | \[{4^{133}-1\over3}\] | 43 × 127 × 4523 × 174763 × 524287 × 106788290443848295284382097033<30> × 163537220852725398851434325720959<33> |
134: | \[{4^{134}-1\over3}\] | 5 × 269 × 7327657 × 15152453 × 42875177 × 193707721 × 2559066073 × 761838257287<12> × 6713103182899<13> × 9739278030221<13> |
135: | \[{4^{135}-1\over3}\] | 33 × 7 × 11 × 19 × 31 × 73 × 151 × 271 × 331 × 631 × 811 × 15121 × 23311 × 87211 × 262657 × 348031 × 18837001 × 49971617830801<14> × 385838642647891<15> |
136: | \[{4^{136}-1\over3}\] | 5 × 172 × 137 × 257 × 953 × 26317 × 43691 × 131071 × 354689 × 383521 × 2368179743873<13> × 2879347902817<13> × 373200722470799764577<21> |
137: | \[{4^{137}-1\over3}\] | 1097 × 15619 × 32127963626435681<17> × 105498212027592977<18> × 32032215596496435569<20> × 5439042183600204290159<22> |
138: | \[{4^{138}-1\over3}\] | 3 × 5 × 7 × 13 × 47 × 139 × 277 × 1013 × 1657 × 30269 × 178481 × 2796203 × 168749965921<12> × 5415624023749<13> × 10052678938039<14> × 70334392823809<14> |
139: | \[{4^{139}-1\over3}\] | 4506937 × 5625767248687<13> × 123876132205208335762278423601<30> × 51542639524661795300074174250365699<35> |
140: | \[{4^{140}-1\over3}\] | 52 × 11 × 17 × 29 × 31 × 41 × 43 × 71 × 113 × 127 × 281 × 61681 × 86171 × 122921 × 7416361 × 15790321 × 47392381 × 84179842077657862011867889681<29> |
141: | \[{4^{141}-1\over3}\] | 3 × 7 × 283 × 2351 × 4513 × 1681003 × 13264529 × 4375578271<10> × 35273039401<11> × 111349165273<12> × 165768537521<12> × 646675035253258729<18> |
142: | \[{4^{142}-1\over3}\] | 5 × 569 × 228479 × 48544121 × 56409643 × 148587949 × 212885833 × 4999465853<10> × 5585522857<10> × 472287102421<12> × 13952598148481<14> |
143: | \[{4^{143}-1\over3}\] | 23 × 89 × 683 × 2003 × 2731 × 8191 × 724153 × 6156182033<10> × 10425285443<11> × 158822951431<12> × 15500487753323<14> × 5782172113400990737<19> |
144: | \[{4^{144}-1\over3}\] | 32 × 5 × 7 × 13 × 17 × 19 × 37 × 73 × 97 × 109 × 193 × 241 × 257 × 433 × 577 × 673 × 1153 × 6337 × 38737 × 65537 × 22253377 × 38941695937<11> × 278452876033<12> × 487824887233<12> |
145: | \[{4^{145}-1\over3}\] | 11 × 31 × 59 × 233 × 1103 × 2089 × 3033169 × 7553921 × 999802854724715300883845411<27> × 2679895157783862814690027494144991<34> |
146: | \[{4^{146}-1\over3}\] | 5 × 293 × 439 × 1753 × 9929 × 2298041 × 9361973132609<13> × 649301712182209<15> × 1795918038741070627<19> × 9444732965601851473921<22> |
147: | \[{4^{147}-1\over3}\] | 3 × 73 × 43 × 127 × 337 × 5419 × 748819 × 4363953127297<13> × 4432676798593<13> × 26032885845392093851<20> × 2741672362528725535068727<25> |
148: | \[{4^{148}-1\over3}\] | 5 × 17 × 149 × 223 × 593 × 1777 × 25781083 × 184481113 × 231769777 × 616318177 × 20988936657440586486151264256610222593863921<44> |
149: | \[{4^{149}-1\over3}\] | 1193 × 650833 × 38369587 × 86656268566282183151<20> × 8235109336690846723986161<25> × 7984559573504259856359124657<28> |
150: | \[{4^{150}-1\over3}\] | 3 × 53 × 7 × 11 × 13 × 31 × 41 × 61 × 101 × 151 × 251 × 331 × 601 × 1201 × 1321 × 1801 × 4051 × 8101 × 63901 × 100801 × 268501 × 10567201 × 13334701 × 1182468601 × 1133836730401<13> |
151: | \[{4^{151}-1\over3}\] | 18121 × 55871 × 165799 × 2332951 × 18717738334417<14> × 7289088383388253664437433<25> × 50834050824100779677306460621499<32> |
152: | \[{4^{152}-1\over3}\] | 5 × 17 × 229 × 257 × 457 × 1217 × 27361 × 148961 × 174763 × 524287 × 525313 × 24517014940753<14> × 69394460463940481<17> × 11699557817717358904481<23> |
153: | \[{4^{153}-1\over3}\] | 32 × 7 × 19 × 73 × 103 × 307 × 919 × 2143 × 2857 × 6529 × 11119 × 43691 × 123931 × 131071 × 26159806891<11> × 27439122228481<14> × 75582488424179347083438319<26> |
154: | \[{4^{154}-1\over3}\] | 5 × 23 × 29 × 43 × 89 × 113 × 127 × 397 × 617 × 683 × 2113 × 8317 × 78233 × 869467061 × 3019242689 × 35532364099<11> × 76096559910757<14> × 581283643249112959<18> |
155: | \[{4^{155}-1\over3}\] | 11 × 312 × 311 × 11161 × 11471 × 73471 × 715827883 × 2147483647 × 4649919401<10> × 18158209813151<14> × 5947603221397891<16> × 29126056043168521<17> |
156: | \[{4^{156}-1\over3}\] | 3 × 5 × 7 × 132 × 17 × 53 × 79 × 157 × 241 × 313 × 1249 × 1613 × 2731 × 3121 × 8191 × 21841 × 121369 × 858001 × 22366891 × 308761441 × 84159375948762099254554456081<29> |
157: | \[{4^{157}-1\over3}\] | 15073 × 2350291 × 852133201 × 60726444167<11> × 1654058017289<13> × 2134387368610417<16> × 17751783757817897<17> × 96833299198971305921<20> |
158: | \[{4^{158}-1\over3}\] | 5 × 317 × 2687 × 202029703 × 1113491139767<13> × 381364611866507317969<21> × 201487636602438195784363<24> × 604462909806215075725313<24> |
159: | \[{4^{159}-1\over3}\] | 3 × 7 × 107 × 6043 × 6361 × 6679 × 69431 × 13960201 × 20394401 × 540701761 × 229890275929<12> × 28059810762433<14> × 4475130366518102084427698737<28> |
160: | \[{4^{160}-1\over3}\] | 52 × 11 × 17 × 31 × 41 × 257 × 641 × 61681 × 65537 × 414721 × 3602561 × 6700417 × 4278255361 × 44479210368001<14> × 94455684953484563055991838558081<32> |
161: | \[{4^{161}-1\over3}\] | 43 × 47 × 127 × 1289 × 178481 × 2796203 × 3188767 × 45076044553<11> × 14808607715315782481<20> × 8103467492759792327149800361564410265219<40> |
162: | \[{4^{162}-1\over3}\] | 34 × 5 × 7 × 13 × 19 × 37 × 73 × 109 × 163 × 2593 × 71119 × 87211 × 135433 × 246241 × 262657 × 279073 × 3618757 × 97685839 × 106979941 × 168410989 × 272010961 × 4977454861<10> |
163: | \[{4^{163}-1\over3}\] | 150287 × 704161 × 110211473 × 11281292593<11> × 27669118297<11> × 1023398150341859<16> × 36230454570129675721<20> × 337570547050390415041769<24> |
164: | \[{4^{164}-1\over3}\] | 5 × 17 × 83 × 10169 × 13121 × 13367 × 181549 × 12112549 × 43249589 × 164511353 × 8562191377<10> × 8831418697<10> × 12243864122465612155106392056552353<35> |
165: | \[{4^{165}-1\over3}\] | 3 × 7 × 112 × 23 × 31 × 67 × 89 × 151 × 331 × 683 × 881 × 2971 × 3191 × 20857 × 201961 × 599479 × 48912491 × 415365721 × 2252127523412251<16> × 2048568835297380486760231<25> |
166: | \[{4^{166}-1\over3}\] | 5 × 167 × 499 × 997 × 1163 × 2657 × 155377 × 13063537 × 13455809771<11> × 46202197673<11> × 209957719973<12> × 148067197374074653<18> × 57912614113275649087721<23> |
167: | \[{4^{167}-1\over3}\] | 2349023 × 79638304766856507377778616296087448490695649<44> × 62357403192785191176690552862561408838653121833643<50> |
168: | \[{4^{168}-1\over3}\] | 3 × 5 × 72 × 13 × 17 × 29 × 43 × 97 × 113 × 127 × 241 × 257 × 337 × 673 × 1429 × 2017 × 3361 × 5153 × 5419 × 14449 × 15790321 × 25629623713<11> × 54410972897<11> × 88959882481<11> × 1538595959564161<16> |
169: | \[{4^{169}-1\over3}\] | 2731 × 4057 × 8191 × 6740339310641<13> × 4929910764223610387<19> × 18526238646011086732742614043<29> × 3340762283952395329506327023033<31> |
170: | \[{4^{170}-1\over3}\] | 52 × 11 × 31 × 41 × 137 × 953 × 1021 × 4421 × 26317 × 43691 × 131071 × 550801 × 23650061 × 7226904352843746841<19> × 9520972806333758431<19> × 26831423036065352611<20> |
171: | \[{4^{171}-1\over3}\] | 32 × 7 × 192 × 73 × 571 × 32377 × 174763 × 524287 × 1212847 × 93507247 × 160465489 × 3042645634792541312037847<25> × 19177458387940268116349766612211<32> |
172: | \[{4^{172}-1\over3}\] | 5 × 17 × 173 × 431 × 9719 × 101653 × 500177 × 2099863 × 3855260977 × 1759217765581<13> × 2932031007403<13> × 64082150767423457<17> × 1425343275103126327372769<25> |
173: | \[{4^{173}-1\over3}\] | 347 × 4153 × 730753 × 1505447 × 35374479827<11> × 47635010587<11> × 70084436712553223<17> × 155285743288572277679887<24> × 1643464247728189221623609<25> |
174: | \[{4^{174}-1\over3}\] | 3 × 5 × 7 × 13 × 59 × 233 × 349 × 1103 × 2089 × 4177 × 29581 × 3033169 × 107367629 × 536903681 × 27920807689<11> × 9857737155463<13> × 22170214192500421<17> × 96076791871613611<17> |
175: | \[{4^{175}-1\over3}\] | 11 × 31 × 43 × 71 × 127 × 251 × 281 × 601 × 1051 × 1801 × 4051 × 39551 × 86171 × 110251 × 122921 × 60816001 × 347833278451<12> × 34010032331525251<17> × 535347624791488552837151<24> |
176: | \[{4^{176}-1\over3}\] | 5 × 17 × 23 × 89 × 257 × 353 × 397 × 683 × 2113 × 65537 × 229153 × 5304641 × 119782433 × 2931542417 × 43872038849<11> × 275509565477848842604777623828011666349761<42> |
177: | \[{4^{177}-1\over3}\] | 3 × 7 × 2833 × 13099 × 37171 × 179951 × 184081 × 1824726041 × 27989941729<11> × 3203431780337<13> × 4453762543897<13> × 1898685496465999273<19> × 9213624084535989031<19> |
178: | \[{4^{178}-1\over3}\] | 5 × 179 × 1069 × 62020897 × 18584774046020617<17> × 579017791994999956106149<24> × 123794003928545064364330189<27> × 618970019642690137449562111<27> |
179: | \[{4^{179}-1\over3}\] | 359 × 1433 × 58745093521<11> × 4347868190665879373495950562775707707143803<43> × 1489459109360039866456940197095433721664951999121<49> |
180: | \[{4^{180}-1\over3}\] | 32 × 52 × 7 × 11 × 13 × 17 × 19 × 31 × 37 × 41 × 61 × 73 × 109 × 151 × 181 × 241 × 331 × 433 × 631 × 1321 × 23311 × 38737 × 54001 × 61681 × 18837001 × 29247661 × 4562284561<10> × 168692292721<12> × 469775495062434961<18> |
181: | \[{4^{181}-1\over3}\] | 1811 × 43441 × 1164193 × 7648337 × 31675363 × 7923871097285295625344647665764672671<37> × 17810163630112624579342811733978085990447907<44> |
182: | \[{4^{182}-1\over3}\] | 5 × 29 × 43 × 53 × 113 × 127 × 157 × 911 × 10932 × 1613 × 2731 × 4733 × 8191 × 224771 × 1210483 × 112901153 × 23140471537<11> × 25829691707<11> × 8861085190774909<16> × 556338525912325157<18> |
183: | \[{4^{183}-1\over3}\] | 3 × 7 × 367 × 55633 × 768614336404564651<18> × 2305843009213693951<19> × 37201708625305146303973352041<29> × 1772303994379887829769795077302561451<37> |
184: | \[{4^{184}-1\over3}\] | 5 × 17 × 47 × 257 × 277 × 1013 × 1657 × 30269 × 178481 × 2796203 × 43717618369<11> × 549675408461419937<18> × 3970299567472902879791777<25> × 291280009243618888211558641<27> |
185: | \[{4^{185}-1\over3}\] | 11 × 31 × 223 × 1481 × 1777 × 25781083 × 28136651 × 616318177 × 1587855697992791<16> × 7248808599285760001152755641<28> × 778429365397887608540618330873281<33> |
186: | \[{4^{186}-1\over3}\] | 3 × 5 × 7 × 13 × 373 × 5581 × 8681 × 49477 × 384773 × 529510939 × 715827883 × 2147483647 × 2903110321 × 951088215727633<15> × 658812288653553079<18> × 4611545283086450689<19> |
187: | \[{4^{187}-1\over3}\] | 23 × 89 × 683 × 43691 × 131071 × 707983 × 1032670816743843860998850056278950666491537<43> × 2191165825376888084750157716424579062015865776131<49> |
188: | \[{4^{188}-1\over3}\] | 5 × 17 × 283 × 2351 × 3761 × 4513 × 13264529 × 1198107457 × 7484047069<10> × 23592342593<11> × 165768537521<12> × 140737471578113<15> × 4501946625921233<16> × 181352306852476069537<21> |
189: | \[{4^{189}-1\over3}\] | 33 × 72 × 19 × 43 × 73 × 127 × 337 × 379 × 5419 × 87211 × 92737 × 119827 × 262657 × 649657 × 1560007 × 77158673929<11> × 127391413339<12> × 56202143607667<14> × 207617485544258392970753527<27> |
190: | \[{4^{190}-1\over3}\] | 52 × 11 × 31 × 41 × 191 × 229 × 457 × 761 × 2281 × 54721 × 174763 × 524287 × 525313 × 420778751 × 30327152671<11> × 276696631250953741<18> × 2416923620660807201<19> × 3011347479614249131<19> |
191: | \[{4^{191}-1\over3}\] | 383 × 7068569257<10> × 39940132241<11> × 332584516519201<15> × 87274497124602996457<20> × 1046183622564446793972631570534611069350392574077339085483<58> |
192: | \[{4^{192}-1\over3}\] | 3 × 5 × 7 × 13 × 17 × 97 × 193 × 241 × 257 × 641 × 673 × 769 × 65537 × 274177 × 6700417 × 22253377 × 67280421310721<14> × 18446744069414584321<20> × 442499826945303593556473164314770689<36> |
193: | \[{4^{193}-1\over3}\] | 6563 × 13821503 × 35679139 × 1871670769 × 7455099975844049<16> × 1280761337388845898643<22> × 61654440233248340616559<23> × 14732265321145317331353282383<29> |
194: | \[{4^{194}-1\over3}\] | 5 × 389 × 971 × 1553 × 3881 × 4657 × 5821 × 11447 × 31817 × 3555339061 × 4959325597<10> × 394563864677<12> × 17637260034881<14> × 1100876018364883721<19> × 13842607235828485645766393<26> |
195: | \[{4^{195}-1\over3}\] | 3 × 7 × 11 × 31 × 79 × 131 × 151 × 331 × 2731 × 8191 × 107251 × 121369 × 409891 × 7623851 × 22366891 × 145295143558111<15> × 571403921126076957182161<24> × 134304196845099262572814573351<30> |
196: | \[{4^{196}-1\over3}\] | 5 × 17 × 29 × 43 × 113 × 127 × 197 × 7057 × 273617 × 1007441 × 15790321 × 375327457 × 19707683773<11> × 1405628248417<13> × 4363953127297<13> × 4432676798593<13> × 4981857697937<13> × 364565561997841<15> |
197: | \[{4^{197}-1\over3}\] | 7487 × 197002597249<12> × 1348959352853811313<19> × 251951573867253012259144010843<30> × 26828803997912886929710867041891989490486893845712448833<56> |
198: | \[{4^{198}-1\over3}\] | 32 × 5 × 7 × 13 × 19 × 23 × 37 × 67 × 73 × 89 × 109 × 199 × 397 × 683 × 2113 × 5347 × 20857 × 42373 × 153649 × 235621 × 312709 × 599479 × 4327489 × 33057806959<11> × 8463901912489<13> × 15975607282273<14> × 242099935645987<15> |
199: | \[{4^{199}-1\over3}\] | 164504919713<12> × 4884164093883941177660049098586324302977543600799<49> × 267823007376498379256993682056860433753700498963798805883563<60> |