Base 3 Repunits
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
100: | \[{3^{100}-1\over2}\] | 23 × 53 × 112 × 61 × 101 × 151 × 1181 × 8951 × 391151 × 394201 × 22996651 × 61070817601<11> |
101: | \[{3^{101}-1\over2}\] | 33034273 × 465092326319<12> × 50316775668019759306202964023<29> |
102: | \[{3^{102}-1\over2}\] | 22 × 7 × 13 × 103 × 307 × 613 × 1021 × 1871 × 12853 × 30091 × 34511 × 129159847 × 99810171997<11> |
103: | \[{3^{103}-1\over2}\] | 6957596529882152968992225251835887181478451547013<49> |
104: | \[{3^{104}-1\over2}\] | 24 × 5 × 41 × 53 × 398581 × 797161 × 2093124281 × 4795973261<10> × 37644053098601<14> |
105: | \[{3^{105}-1\over2}\] | 112 × 13 × 71 × 421 × 1093 × 4561 × 6301 × 368089 × 1616161 × 2664097031 × 26751945361<11> |
106: | \[{3^{106}-1\over2}\] | 22 × 107 × 24169 × 78719947 × 61557605176233223<17> × 3747607031112307667<19> |
107: | \[{3^{107}-1\over2}\] | 50077 × 229837 × 48965028505045123993421250406516036571557<41> |
108: | \[{3^{108}-1\over2}\] | 23 × 5 × 7 × 13 × 19 × 37 × 73 × 109 × 433 × 757 × 8209 × 19441 × 19927 × 530713 × 150094634909578633<18> |
109: | \[{3^{109}-1\over2}\] | 1091 × 521402591 × 3499901929 × 239789806103<12> × 10624346875389299603<20> |
110: | \[{3^{110}-1\over2}\] | 22 × 113 × 23 × 61 × 67 × 661 × 1321 × 3851 × 659671 × 24472341743191<14> × 560088668384411<15> |
111: | \[{3^{111}-1\over2}\] | 13 × 13097927 × 18702169 × 119779213 × 17189128703<11> × 6962353413269964253<19> |
112: | \[{3^{112}-1\over2}\] | 25 × 5 × 17 × 29 × 41 × 113 × 193 × 547 × 1093 × 16493 × 19489 × 430697 × 647753 × 36214795668330833<17> |
113: | \[{3^{113}-1\over2}\] | 227 × 1583 × 2172539 × 526256453012063980796131127321354599535039<42> |
114: | \[{3^{114}-1\over2}\] | 22 × 7 × 13 × 229 × 1597 × 2851 × 3079 × 53923 × 101917 × 248749 × 363889 × 1162320517 × 1824179209 |
115: | \[{3^{115}-1\over2}\] | 112 × 47 × 1975931 × 1001523179 × 6273542442241<13> × 52370346649565455417091<23> |
116: | \[{3^{116}-1\over2}\] | 23 × 5 × 59 × 523 × 6091 × 12413 × 28537 × 5385997 × 20381027 × 37945127666529000523013<23> |
117: | \[{3^{117}-1\over2}\] | 132 × 313 × 757 × 6553 × 7333 × 797161 × 4162861 × 1846794457 × 2821964307371847613<19> |
118: | \[{3^{118}-1\over2}\] | 22 × 3187 × 14425532687<11> × 489769993189671059<18> × 1108439448677340328268341<25> |
119: | \[{3^{119}-1\over2}\] | 239 × 1093 × 1871 × 34511 × 44626806191326911791<20> × 397881837642577477902049<24> |
120: | \[{3^{120}-1\over2}\] | 24 × 52 × 7 × 112 × 13 × 31 × 41 × 61 × 73 × 241 × 271 × 1181 × 4561 × 6481 × 298801 × 26050081 × 42521761 × 47763361 |
121: | \[{3^{121}-1\over2}\] | 23 × 3851 × 11617 × 3981923614021<13> × 657890411545272648205502849240259841<36> |
122: | \[{3^{122}-1\over2}\] | 22 × 367 × 603901 × 105293313660391861035901<24> × 86630432442539925437931403<26> |
123: | \[{3^{123}-1\over2}\] | 13 × 83 × 51169 × 2526913 × 86950696619<11> × 1999827817517387044561568810795329<34> |
124: | \[{3^{124}-1\over2}\] | 23 × 5 × 683 × 6883 × 102673 × 4404047 × 1403808961 × 2860659169 × 9500438809<10> × 22434744889<11> |
125: | \[{3^{125}-1\over2}\] | 112 × 251 × 8951 × 391151 × 358291751 × 14781691751<11> × 391632555001<12> × 989947158849251<15> |
126: | \[{3^{126}-1\over2}\] | 22 × 72 × 13 × 19 × 37 × 43 × 127 × 547 × 757 × 883 × 1093 × 2269 × 2521 × 368089 × 550554229 × 144542918285300809<18> |
127: | \[{3^{127}-1\over2}\] | 5843 × 681229 × 21520151 × 76082653 × 301515315752300874236564235591357673<36> |
128: | \[{3^{128}-1\over2}\] | 28 × 5 × 17 × 41 × 193 × 21523361 × 926510094425921<15> × 1716841910146256242328924544641<31> |
129: | \[{3^{129}-1\over2}\] | 13 × 431 × 4129 × 2199072289 × 380808546861411923<18> × 912851565662857110894244969<27> |
130: | \[{3^{130}-1\over2}\] | 22 × 112 × 61 × 131 × 398581 × 797161 × 3701101 × 110133112994711<15> × 105919308797935444986721<24> |
131: | \[{3^{131}-1\over2}\] | 263 × 605199588591144003100881306574406851660288427740394885828171<60> |
132: | \[{3^{132}-1\over2}\] | 23 × 5 × 7 × 13 × 23 × 67 × 73 × 661 × 3851 × 5501 × 25411 × 176419 × 570461 × 2413941289 × 13490012358249728401<20> |
133: | \[{3^{133}-1\over2}\] | 1093 × 1597 × 363889 × 8757948941961838067<19> × 257513776243156826379279929309507<33> |
134: | \[{3^{134}-1\over2}\] | 22 × 221101 × 5390821 × 441019876741<12> × 475384700124973<15> × 4299412981246169975118907<25> |
135: | \[{3^{135}-1\over2}\] | 112 × 13 × 109 × 181 × 433 × 541 × 757 × 1621 × 4561 × 8209 × 927001 × 53825041 × 773618132427345151923061<24> |
136: | \[{3^{136}-1\over2}\] | 24 × 5 × 41 × 103 × 137 × 307 × 1021 × 1871 × 34511 × 956353 × 1743831169 × 6458150122561<13> × 3833564416504313<16> |
137: | \[{3^{137}-1\over2}\] | 4933 × 217629707 × 108081809773839995188256800499141543684393035450350551<54> |
138: | \[{3^{138}-1\over2}\] | 22 × 7 × 13 × 47 × 139 × 277 × 5107 × 9109 × 132619 × 1476463 × 1001523179 × 23535794707<11> × 2461243576713869557<19> |
139: | \[{3^{139}-1\over2}\] | 1669 × 5430731 × 115215201111546538317696820901417129607616709798043944747<57> |
140: | \[{3^{140}-1\over2}\] | 23 × 52 × 112 × 29 × 61 × 71 × 547 × 1093 × 1181 × 16493 × 28596961 × 32839661 × 94373861 × 2664097031 × 374857981681<12> |
141: | \[{3^{141}-1\over2}\] | 13 × 1223 × 21997 × 5112661 × 96656723 × 161969595577<12> × 2031161085853<13> × 165301473942399079669<21> |
142: | \[{3^{142}-1\over2}\] | 22 × 853 × 2131 × 82219 × 3099719989 × 4052490063499<13> × 3754733257489862401973357979128773<34> |
143: | \[{3^{143}-1\over2}\] | 23 × 3851 × 797161 × 1198014380856762535048758241151960180137876946928788681521<58> |
144: | \[{3^{144}-1\over2}\] | 25 × 5 × 7 × 13 × 17 × 19 × 37 × 41 × 73 × 97 × 193 × 577 × 757 × 769 × 6481 × 530713 × 1418632417 × 282429005041<12> × 56227703611393<14> |
145: | \[{3^{145}-1\over2}\] | 112 × 59 × 28537 × 20381027 × 183349688798536618131199274872809217263632838323547361<54> |
146: | \[{3^{146}-1\over2}\] | 22 × 439 × 11243 × 20149 × 15768033143<11> × 9460375336977361<16> × 38488154120055537150068589763279<32> |
147: | \[{3^{147}-1\over2}\] | 13 × 491 × 1093 × 4019 × 8233 × 47041 × 51157 × 131713 × 368089 × 254395969103901649521223867932173929<36> |
148: | \[{3^{148}-1\over2}\] | 23 × 5 × 149 × 18427 × 107671 × 953861 × 13097927 × 56737873 × 17189128703<11> × 142659759801404920771391593<27> |
149: | \[{3^{149}-1\over2}\] | 7451 × 177941761 × 46509804063632583432467217805311362636553293639540930405531<59> |
150: | \[{3^{150}-1\over2}\] | 22 × 7 × 112 × 13 × 31 × 61 × 151 × 271 × 601 × 2551 × 4561 × 8951 × 9601 × 26251 × 119101 × 391151 × 1530601 × 22996651 × 2098303812601<13> |
151: | \[{3^{151}-1\over2}\] | 1511 × 6263783 × 64745079361<11> × 905673230703550690601003473107008473103084254587061<51> |
152: | \[{3^{152}-1\over2}\] | 24 × 5 × 41 × 761 × 1597 × 2851 × 31769 × 101917 × 363889 × 3302353 × 5301533 × 25480398173<11> × 278733912072436804273<21> |
153: | \[{3^{153}-1\over2}\] | 13 × 757 × 1871 × 12853 × 34511 × 6213394261<10> × 35106034213<11> × 99810171997<11> × 28090626041813012073462457<26> |
154: | \[{3^{154}-1\over2}\] | 22 × 23 × 67 × 547 × 661 × 1093 × 3851 × 51457561 × 7151459701<10> × 76831835389<11> × 56495392933101222275861053369<29> |
155: | \[{3^{155}-1\over2}\] | 112 × 311 × 683 × 102673 × 4404047 × 3586225081 × 1078579799806668629607014283525941686969924751<46> |
156: | \[{3^{156}-1\over2}\] | 23 × 5 × 7 × 132 × 53 × 73 × 79 × 157 × 313 × 2887 × 6553 × 7333 × 10141 × 325729 × 398581 × 797161 × 4795973261<10> × 271722723752757889<18> |
157: | \[{3^{157}-1\over2}\] | 9421 × 3381925092493<13> × 9891109125337566719<19> × 1283810768507270931382867729773882314783<40> |
158: | \[{3^{158}-1\over2}\] | 22 × 66361 × 432853009 × 327220181191<12> × 392038110671<12> × 145171177264407947<18> × 567239060331150635317<21> |
159: | \[{3^{159}-1\over2}\] | 13 × 107 × 24169 × 712550912937217<15> × 3747607031112307667<19> × 40559607827224525043263763418498193<35> |
160: | \[{3^{160}-1\over2}\] | 26 × 52 × 112 × 17 × 41 × 61 × 193 × 1181 × 14401 × 8194721 × 21523361 × 42521761 × 700984481 × 128653413121<12> × 597747428754241<15> |
161: | \[{3^{161}-1\over2}\] | 47 × 1093 × 1001523179 × 636961216046002471921398696960338364910115196955450597747751689<63> |
162: | \[{3^{162}-1\over2}\] | 22 × 7 × 13 × 19 × 37 × 109 × 163 × 433 × 757 × 1297 × 3889 × 8209 × 19441 × 19927 × 208657 × 224209 × 1190701 × 5879415781<10> × 12557612956332313<17> |
163: | \[{3^{163}-1\over2}\] | 5227348213873<13> × 8882811705390167<16> × 6351885141964057411259499526611848626072045955243<49> |
164: | \[{3^{164}-1\over2}\] | 23 × 5 × 83 × 33703 × 2088869 × 2526913 × 110767897 × 86950696619<11> × 270547105429567<15> × 574933708017116710865237<24> |
165: | \[{3^{165}-1\over2}\] | 113 × 13 × 23 × 1321 × 3851 × 4561 × 50821 × 2413941289 × 560088668384411<15> × 4183739978746243239852385111562221<34> |
166: | \[{3^{166}-1\over2}\] | 22 × 167 × 499 × 997 × 12119 × 2466097 × 1036745531 × 950996059627210897943351<24> × 813201725710097952736361977<27> |
167: | \[{3^{167}-1\over2}\] | 58451 × 88177 × 1767863 × 10063060897082377<17> × 260551495718621260054268273374657473120059796409<48> |
168: | \[{3^{168}-1\over2}\] | 24 × 5 × 72 × 13 × 29 × 41 × 43 × 73 × 337 × 547 × 673 × 1009 × 1093 × 2269 × 2857 × 6481 × 16493 × 167329 × 368089 × 430697 × 647753 × 109688713 × 2108826721 |
169: | \[{3^{169}-1\over2}\] | 2029 × 797161 × 163264150141<12> × 814222556753878193601980463083668707558864014894642043902929<60> |
170: | \[{3^{170}-1\over2}\] | 22 × 112 × 61 × 103 × 307 × 1021 × 1531 × 1871 × 34511 × 224401 × 2663568851051<13> × 862970652262943171<18> × 13271362257832586268931<23> |
171: | \[{3^{171}-1\over2}\] | 13 × 229 × 757 × 1597 × 119701 × 248749 × 363889 × 1824179209 × 27203787889921135221329070240968055313746007669<47> |
172: | \[{3^{172}-1\over2}\] | 23 × 5 × 173 × 431 × 470593 × 2641485701 × 55473422113<11> × 903239908009<12> × 380808546861411923<18> × 82064241848634269407<20> |
173: | \[{3^{173}-1\over2}\] | 347 × 762239 × 2125048865543<13> × 30985428700388045508959018054392810762033149280306907746766819<62> |
174: | \[{3^{174}-1\over2}\] | 22 × 7 × 13 × 59 × 349 × 523 × 6091 × 28537 × 74821 × 142159 × 261697 × 1383301 × 5385997 × 20381027 × 32234893 × 37464463 × 150224123975857<15> |
175: | \[{3^{175}-1\over2}\] | 112 × 71 × 1093 × 8951 × 109201 × 391151 × 2664097031 × 1430128198787051<16> × 11459299580388289258664119605215721251<38> |
176: | \[{3^{176}-1\over2}\] | 25 × 5 × 17 × 23 × 41 × 67 × 89 × 193 × 661 × 3851 × 5501 × 570461 × 2382953 × 6922081 × 56625998353<11> × 15656839738849<14> × 1363620137403810529<19> |
177: | \[{3^{177}-1\over2}\] | 13 × 709 × 14425532687<11> × 489769993189671059<18> × 2224898159852613649<19> × 9736622508037946817946068730077829<34> |
178: | \[{3^{178}-1\over2}\] | 22 × 179 × 264331 × 1125706177 × 1611479891519807<16> × 5042939439565996049162197<25> × 2444322641415331355533344283<28> |
179: | \[{3^{179}-1\over2}\] | 359 × 56207 × 100957 × 19510643 × 291066066130451<15> × 6779963644378513811<19> × 161868664744491655705858963594331<33> |
180: | \[{3^{180}-1\over2}\] | 23 × 52 × 7 × 112 × 13 × 19 × 31 × 37 × 61 × 73 × 181 × 271 × 757 × 1181 × 1621 × 4561 × 176401 × 387631 × 530713 × 755551 × 927001 × 47763361 × 452808441334403281<18> |
181: | \[{3^{181}-1\over2}\] | 90863 × 890159 × 1412740676235815729693013611798695493926336144083867368022228212267580445753<76> |
182: | \[{3^{182}-1\over2}\] | 22 × 547 × 1093 × 8737 × 398581 × 595141 × 797161 × 4011586307 × 2354116499281<13> × 2452788561133<13> × 3745603812007166116831643<25> |
183: | \[{3^{183}-1\over2}\] | 13 × 733 × 603901 × 97806913 × 2421854958301<13> × 105293313660391861035901<24> × 7165195867462155138286987098273769<34> |
184: | \[{3^{184}-1\over2}\] | 24 × 5 × 41 × 47 × 1289 × 12553493 × 1001523179 × 23535794707<11> × 70601370627701<14> × 743170846305411756447828504941347481129<39> |
185: | \[{3^{185}-1\over2}\] | 112 × 2221 × 17761 × 35521 × 146891 × 13097927 × 228082801 × 17189128703<11> × 49804972211<11> × 87841814842081<14> × 1654235911196704741<19> |
186: | \[{3^{186}-1\over2}\] | 22 × 7 × 13 × 373 × 683 × 1117 × 6883 × 102673 × 541447 × 3058399 × 4404047 × 22434744889<11> × 88239050462461<14> × 26273701844015319144827917<26> |
187: | \[{3^{187}-1\over2}\] | 23 × 1871 × 3851 × 6359 × 34511 × 1272753542934479<16> × 3411926755457243<16> × 527447346649058852221083363397206345775307<42> |
188: | \[{3^{188}-1\over2}\] | 23 × 5 × 1223 × 16921 × 21997 × 256057 × 5112661 × 96656723 × 563838649753<12> × 1534179947851<13> × 125384283132205265785477849439329<33> |
189: | \[{3^{189}-1\over2}\] | 13 × 109 × 433 × 757 × 1093 × 8209 × 368089 × 144542918285300809<18> × 49888641454623789553<20> × 67775349707440873247475442867753<32> |
190: | \[{3^{190}-1\over2}\] | 22 × 112 × 61 × 191 × 1597 × 2851 × 39901 × 101917 × 363889 × 29574984661<11> × 25349956307509384561<20> × 78958087694609321439660131899631<32> |
191: | \[{3^{191}-1\over2}\] | 383 × 311713 × 9593931911<10> × 5890868591760365434332005074929710400548909181468214858888800348369500317<73> |
192: | \[{3^{192}-1\over2}\] | 27 × 5 × 7 × 13 × 17 × 41 × 73 × 97 × 193 × 577 × 769 × 6481 × 7297 × 68737 × 76801 × 21523361 × 96948097 × 24127552321<11> × 70613232600577<14> × 926510094425921<15> |
193: | \[{3^{193}-1\over2}\] | 6563 × 29723 × 2346066378779<13> × 218246094772601642186973037<27> × 607981469094652492202396647678317419649770543<45> |
194: | \[{3^{194}-1\over2}\] | 22 × 76631 × 459991849 × 503803759819<12> × 2549755542947<13> × 20591603926857377806745611<26> × 48845962828028421155731228333<29> |
195: | \[{3^{195}-1\over2}\] | 112 × 132 × 131 × 313 × 2341 × 4561 × 6553 × 7333 × 797161 × 3701101 × 39838501 × 110133112994711<15> × 98139929939748977208994554331725481<35> |
196: | \[{3^{196}-1\over2}\] | 23 × 5 × 29 × 197 × 491 × 547 × 1093 × 4019 × 8233 × 16493 × 16661 × 51157 × 131713 × 251325313 × 857643277 × 127522693159<12> × 426712077457<12> × 34013149495921<14> |
197: | \[{3^{197}-1\over2}\] | 9851 × 741019334164502879<18> × 11472574961994477441469621<26> × 58733573000937067164211172290216978734891718609<47> |
198: | \[{3^{198}-1\over2}\] | 22 × 7 × 13 × 19 × 23 × 37 × 67 × 199 × 397 × 661 × 757 × 3851 × 4357 × 25411 × 176419 × 3186217 × 337448233 × 2413941289 × 378450588583<12> × 12812432238302009985937<23> |
199: | \[{3^{199}-1\over2}\] | 1360648969 × 293366430131930353811221418233<30> × 110902970953020998760372036298330712066931713186888935429<57> |