Base 2 Repunits
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
200: | \[2^{200}-1\] | 3 × 53 × 11 × 17 × 31 × 41 × 101 × 251 × 401 × 601 × 1801 × 4051 × 8101 × 61681 × 268501 × 340801 × 2787601 × 3173389601 |
201: | \[2^{201}-1\] | 7 × 1609 × 22111 × 193707721 × 761838257287<12> × 87449423397425857942678833145441<32> |
202: | \[2^{202}-1\] | 3 × 7432339208719<13> × 341117531003194129<18> × 845100400152152934331135470251<30> |
203: | \[2^{203}-1\] | 127 × 233 × 1103 × 2089 × 136417 × 121793911 × 11348055580883272011090856053175361113<38> |
204: | \[2^{204}-1\] | 32 × 5 × 7 × 13 × 103 × 137 × 307 × 409 × 953 × 2143 × 2857 × 3061 × 6529 × 11119 × 13669 × 26317 × 43691 × 131071 × 1326700741 |
205: | \[2^{205}-1\] | 31 × 13367 × 2940521 × 164511353 × 70171342151<11> × 3655725065508797181674078959681<31> |
206: | \[2^{206}-1\] | 3 × 2550183799 × 415141630193<12> × 8142767081771726171<19> × 3976656429941438590393<22> |
207: | \[2^{207}-1\] | 7 × 47 × 73 × 79903 × 178481 × 634569679 × 2232578641663<13> × 10052678938039<14> × 42166482463639<14> |
208: | \[2^{208}-1\] | 3 × 5 × 17 × 53 × 157 × 257 × 1613 × 2731 × 8191 × 858001 × 308761441 × 78919881726271091143763623681<29> |
209: | \[2^{209}-1\] | 23 × 89 × 524287 × 94803416684681<14> × 1512348937147247<16> × 5346950541323960232319657<25> |
210: | \[2^{210}-1\] | 32 × 72 × 11 × 31 × 43 × 71 × 127 × 151 × 211 × 281 × 331 × 337 × 5419 × 29191 × 86171 × 106681 × 122921 × 152041 × 664441 × 1564921 |
211: | \[2^{211}-1\] | 15193 × 60272956433838849161<20> × 3593875704495823757388199894268773153439<40> |
212: | \[2^{212}-1\] | 3 × 5 × 107 × 6361 × 69431 × 15358129 × 20394401 × 586477649 × 28059810762433<14> × 1801439824104653<16> |
213: | \[2^{213}-1\] | 7 × 66457 × 228479 × 48544121 × 212885833 × 2849881972114740679<19> × 4205268574191396793<19> |
214: | \[2^{214}-1\] | 3 × 643 × 84115747449047881488635567801<29> × 162259276829213363391578010288127<33> |
215: | \[2^{215}-1\] | 31 × 431 × 1721 × 9719 × 2099863 × 731516431 × 514851898711<12> × 297927289744047764444862191<27> |
216: | \[2^{216}-1\] | 34 × 5 × 7 × 13 × 17 × 19 × 37 × 73 × 109 × 241 × 433 × 38737 × 87211 × 246241 × 262657 × 279073 × 33975937 × 138991501037953<15> |
217: | \[2^{217}-1\] | 127 × 5209 × 62497 × 2147483647 × 6268703933840364033151<22> × 378428804431424484082633<24> |
218: | \[2^{218}-1\] | 3 × 104124649 × 745988807 × 870035986098720987332873<24> × 2077756847362348863128179<25> |
219: | \[2^{219}-1\] | 7 × 439 × 3943 × 2298041 × 9361973132609<13> × 671165898617413417<18> × 4815314615204347717321<22> |
220: | \[2^{220}-1\] | 3 × 52 × 112 × 23 × 31 × 41 × 89 × 397 × 683 × 881 × 2113 × 2971 × 3191 × 201961 × 48912491 × 415878438361<12> × 3630105520141<13> |
221: | \[2^{221}-1\] | 1327 × 8191 × 131071 × 2365454398418399772605086209214363458552839866247069233<55> |
222: | \[2^{222}-1\] | 32 × 7 × 223 × 1777 × 3331 × 17539 × 321679 × 25781083 × 26295457 × 319020217 × 616318177 × 107775231312019<15> |
223: | \[2^{223}-1\] | 18287 × 196687 × 1466449 × 2916841 × 1469495262398780123809<22> × 596242599987116128415063<24> |
224: | \[2^{224}-1\] | 3 × 5 × 17 × 29 × 43 × 113 × 127 × 257 × 449 × 2689 × 5153 × 65537 × 15790321 × 183076097 × 54410972897<11> × 358429848460993<15> |
225: | \[2^{225}-1\] | 7 × 31 × 73 × 151 × 601 × 631 × 1801 × 23311 × 100801 × 115201 × 617401 × 10567201 × 1348206751 × 13861369826299351<17> |
226: | \[2^{226}-1\] | 3 × 227 × 3391 × 23279 × 48817 × 65993 × 1868569 × 636190001 × 1066818132868207<16> × 491003369344660409<18> |
227: | \[2^{227}-1\] | 26986333437777017<17> × 7992177738205979626491506950867720953545660121688631<52> |
228: | \[2^{228}-1\] | 32 × 5 × 7 × 13 × 229 × 457 × 571 × 32377 × 131101 × 160969 × 174763 × 524287 × 525313 × 1212847 × 160465489 × 275415303169<12> |
229: | \[2^{229}-1\] | 1504073 × 20492753 × 59833457464970183<17> × 467795120187583723534280000348743236593<39> |
230: | \[2^{230}-1\] | 3 × 11 × 31 × 47 × 691 × 14951 × 178481 × 2796203 × 4036961 × 1884103651 × 345767385170491<15> × 2646507710984041<16> |
231: | \[2^{231}-1\] | 72 × 23 × 89 × 127 × 337 × 463 × 599479 × 581283643249112959<18> × 4982397651178256151338302204762057<34> |
232: | \[2^{232}-1\] | 3 × 5 × 17 × 59 × 233 × 1103 × 2089 × 59393 × 3033169 × 107367629 × 536903681 × 82280195167144119832390568177<29> |
233: | \[2^{233}-1\] | 1399 × 135607 × 622577 × 116868129879077600270344856324766260085066532853492178431<57> |
234: | \[2^{234}-1\] | 33 × 7 × 19 × 73 × 79 × 937 × 2731 × 6553 × 8191 × 86113 × 121369 × 22366891 × 7830118297<10> × 5302306226370307681801<22> |
235: | \[2^{235}-1\] | 31 × 2351 × 4513 × 13264529 × 2391314881 × 72296287361<11> × 73202300395158005845473537146974751<35> |
236: | \[2^{236}-1\] | 3 × 5 × 1181 × 2833 × 3541 × 37171 × 157649 × 174877 × 179951 × 5521693 × 1824726041 × 104399276341<12> × 3203431780337<13> |
237: | \[2^{237}-1\] | 7 × 1423 × 2687 × 49297 × 202029703 × 1113491139767<13> × 23728823512345609279<20> × 31357373417090093431<20> |
238: | \[2^{238}-1\] | 3 × 43 × 127 × 239 × 20231 × 43691 × 131071 × 823679683 × 62983048367<11> × 131105292137<12> × 143162553165560959297<21> |
239: | \[2^{239}-1\] | 479 × 1913 × 5737 × 176383 × 134000609 × 7110008717824458123105014279253754096863768062879<49> |
240: | \[2^{240}-1\] | 32 × 52 × 7 × 11 × 13 × 17 × 31 × 41 × 61 × 97 × 151 × 241 × 257 × 331 × 673 × 1321 × 61681 × 394783681 × 4278255361 × 4562284561<10> × 46908728641<11> |
241: | \[2^{241}-1\] | 22000409 × 160619474372352289412737508720216839225805656328990879953332340439<66> |
242: | \[2^{242}-1\] | 3 × 23 × 89 × 683 × 727 × 117371 × 11054184582797800455736061107<29> × 1786393878363164227858270210279<31> |
243: | \[2^{243}-1\] | 7 × 73 × 487 × 2593 × 71119 × 262657 × 97685839 × 16753783618801<14> × 192971705688577<15> × 3712990163251158343<19> |
244: | \[2^{244}-1\] | 3 × 5 × 733 × 1709 × 3456749 × 368140581013<12> × 667055378149<12> × 768614336404564651<18> × 2305843009213693951<19> |
245: | \[2^{245}-1\] | 31 × 71 × 127 × 1471 × 122921 × 4432676798593<13> × 252359902034571016856214298851708529738525821631<48> |
246: | \[2^{246}-1\] | 32 × 7 × 83 × 739 × 13367 × 165313 × 3887047 × 164511353 × 8831418697<10> × 13194317913029593<17> × 177722253954175633<18> |
247: | \[2^{247}-1\] | 8191 × 15809 × 524287 × 6459570124697<13> × 402004106269663<15> × 1282816117617265060453496956212169<34> |
248: | \[2^{248}-1\] | 3 × 5 × 17 × 5581 × 8681 × 49477 × 290657 × 384773 × 715827883 × 2147483647 × 3770202641 × 1141629180401976895873<22> |
249: | \[2^{249}-1\] | 7 × 167 × 1621324657 × 57912614113275649087721<23> × 8241594690167137359552274418432855740327<40> |
250: | \[2^{250}-1\] | 3 × 11 × 31 × 251 × 601 × 1801 × 4051 × 229668251 × 269089806001<12> × 4710883168879506001<19> × 5519485418336288303251<22> |
251: | \[2^{251}-1\] | 503 × 54217 × 178230287214063289511<21> × 61676882198695257501367<23> × 12070396178249893039969681<26> |
252: | \[2^{252}-1\] | 33 × 5 × 72 × 13 × 19 × 29 × 37 × 43 × 73 × 109 × 113 × 127 × 337 × 1429 × 5419 × 14449 × 92737 × 649657 × 40388473189<11> × 77158673929<11> × 118750098349<12> |
253: | \[2^{253}-1\] | 232 × 47 × 89 × 178481 × 4103188409 × 199957736328435366769577<24> × 44667711762797798403039426178361<32> |
254: | \[2^{254}-1\] | 3 × 56713727820156410577229101238628035243<38> × 170141183460469231731687303715884105727<39> |
255: | \[2^{255}-1\] | 7 × 31 × 103 × 151 × 2143 × 11119 × 106591 × 131071 × 949111 × 9520972806333758431<19> × 5702451577639775545838643151<28> |
256: | \[2^{256}-1\] | 3 × 5 × 17 × 257 × 641 × 65537 × 274177 × 6700417 × 67280421310721<14> × 59649589127497217<17> × 5704689200685129054721<22> |
257: | \[2^{257}-1\] | 535006138814359<15> × 1155685395246619182673033<25> × 374550598501810936581776630096313181393<39> |
258: | \[2^{258}-1\] | 32 × 7 × 431 × 1033 × 9719 × 2099863 × 1591582393 × 2932031007403<13> × 15686603697451<14> × 11053036065049294753459639<26> |
259: | \[2^{259}-1\] | 127 × 223 × 616318177 × 2499285769 × 21234370960880098806027750185552713706866970578963970119<56> |
260: | \[2^{260}-1\] | 3 × 52 × 11 × 31 × 41 × 53 × 131 × 157 × 521 × 1613 × 2731 × 8191 × 51481 × 409891 × 7623851 × 34110701 × 108140989558681<15> × 145295143558111<15> |
261: | \[2^{261}-1\] | 7 × 73 × 233 × 1103 × 2089 × 4177 × 9857737155463<13> × 328017025014102923449988663752960080886511412965881<51> |
262: | \[2^{262}-1\] | 3 × 263 × 1049 × 4744297 × 182331128681207781784391813611<30> × 10350794431055162386718619237468234569<38> |
263: | \[2^{263}-1\] | 23671 × 13572264529177<14> × 120226360536848498024035943<27> × 383725126655170964501315730676446647<36> |
264: | \[2^{264}-1\] | 32 × 5 × 7 × 13 × 17 × 23 × 67 × 89 × 241 × 353 × 397 × 683 × 2113 × 7393 × 20857 × 312709 × 599479 × 4327489 × 1761345169 × 2931542417 × 98618273953<11> |
265: | \[2^{265}-1\] | 31 × 6361 × 69431 × 20394401 × 29324808311<11> × 197748738449921<15> × 36614110124735294634435619027766763481<38> |
266: | \[2^{266}-1\] | 3 × 43 × 127 × 4523 × 174763 × 524287 × 106788290443848295284382097033<30> × 163537220852725398851434325720959<33> |
267: | \[2^{267}-1\] | 7 × 78903841 × 28753302853087<14> × 618970019642690137449562111<27> × 24124332437713924084267316537353<32> |
268: | \[2^{268}-1\] | 3 × 5 × 269 × 7327657 × 15152453 × 42875177 × 193707721 × 2559066073 × 761838257287<12> × 6713103182899<13> × 9739278030221<13> |
269: | \[2^{269}-1\] | 13822297 × 68625988504811774259364670661552948915363901845035416371912463477873783063<74> |
270: | \[2^{270}-1\] | 34 × 7 × 11 × 19 × 31 × 73 × 151 × 271 × 331 × 631 × 811 × 15121 × 23311 × 87211 × 262657 × 348031 × 18837001 × 49971617830801<14> × 385838642647891<15> |
271: | \[2^{271}-1\] | 15242475217<11> × 248927757868131890277330541567820045256364273970773286542188386932989391<72> |
272: | \[2^{272}-1\] | 3 × 5 × 172 × 137 × 257 × 953 × 26317 × 43691 × 131071 × 354689 × 383521 × 2368179743873<13> × 2879347902817<13> × 373200722470799764577<21> |
273: | \[2^{273}-1\] | 72 × 79 × 127 × 337 × 911 × 8191 × 121369 × 108749551 × 112901153 × 23140471537<11> × 4093204977277417<16> × 86977595801949844993<20> |
274: | \[2^{274}-1\] | 3 × 1097 × 15619 × 32127963626435681<17> × 105498212027592977<18> × 32032215596496435569<20> × 5439042183600204290159<22> |
275: | \[2^{275}-1\] | 23 × 31 × 89 × 601 × 881 × 1801 × 3191 × 201961 × 382027665134363932751<21> × 4074891477354886815033308087379995347151<40> |
276: | \[2^{276}-1\] | 32 × 5 × 7 × 13 × 47 × 139 × 277 × 1013 × 1657 × 30269 × 178481 × 2796203 × 168749965921<12> × 5415624023749<13> × 10052678938039<14> × 70334392823809<14> |
277: | \[2^{277}-1\] | 1121297 × 31133636305610209482201109050392404721<38> × 6955979459776540052280934851589652278783<40> |
278: | \[2^{278}-1\] | 3 × 4506937 × 5625767248687<13> × 123876132205208335762278423601<30> × 51542639524661795300074174250365699<35> |
279: | \[2^{279}-1\] | 7 × 73 × 16183 × 34039 × 1437967 × 2147483647 × 833732508401263<15> × 658812288653553079<18> × 2034439836951867299888617<25> |
280: | \[2^{280}-1\] | 3 × 52 × 11 × 17 × 29 × 31 × 41 × 43 × 71 × 113 × 127 × 281 × 61681 × 86171 × 122921 × 7416361 × 15790321 × 47392381 × 84179842077657862011867889681<29> |
281: | \[2^{281}-1\] | 80929 × 48009215293052652841860443273079338843737271906291675944391068955229998769420319<80> |
282: | \[2^{282}-1\] | 32 × 7 × 283 × 2351 × 4513 × 1681003 × 13264529 × 4375578271<10> × 35273039401<11> × 111349165273<12> × 165768537521<12> × 646675035253258729<18> |
283: | \[2^{283}-1\] | 9623 × 68492481833<11> × 23579543011798993222850893929565870383844167873851502677311057483194673<71> |
284: | \[2^{284}-1\] | 3 × 5 × 569 × 228479 × 48544121 × 56409643 × 148587949 × 212885833 × 4999465853<10> × 5585522857<10> × 472287102421<12> × 13952598148481<14> |
285: | \[2^{285}-1\] | 7 × 31 × 151 × 191 × 32377 × 524287 × 1212847 × 420778751 × 30327152671<11> × 1491477035689218775711<22> × 25349242986637720573561<23> |
286: | \[2^{286}-1\] | 3 × 23 × 89 × 683 × 2003 × 2731 × 8191 × 724153 × 6156182033<10> × 10425285443<11> × 158822951431<12> × 15500487753323<14> × 5782172113400990737<19> |
287: | \[2^{287}-1\] | 127 × 13367 × 164511353 × 17137716527<11> × 51954390877748655744256192963206220919272895548843817842228913<62> |
288: | \[2^{288}-1\] | 33 × 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> |
289: | \[2^{289}-1\] | 131071 × 12761663 × 179058312604392742511009<24> × 3320934994356628805321733520790947608989420068445023<52> |
290: | \[2^{290}-1\] | 3 × 11 × 31 × 59 × 233 × 1103 × 2089 × 3033169 × 7553921 × 999802854724715300883845411<27> × 2679895157783862814690027494144991<34> |
291: | \[2^{291}-1\] | 7 × 11447 × 272959 × 2065304407 × 5434876633<10> × 13842607235828485645766393<26> × 1170711644777651877659556633665719<34> |
292: | \[2^{292}-1\] | 3 × 5 × 293 × 439 × 1753 × 9929 × 2298041 × 9361973132609<13> × 649301712182209<15> × 1795918038741070627<19> × 9444732965601851473921<22> |
293: | \[2^{293}-1\] | 40122362455616221971122353<26> × 396645227028138890415611220710757921643910743103031701971222447<63> |
294: | \[2^{294}-1\] | 32 × 73 × 43 × 127 × 337 × 5419 × 748819 × 4363953127297<13> × 4432676798593<13> × 26032885845392093851<20> × 2741672362528725535068727<25> |
295: | \[2^{295}-1\] | 31 × 4721 × 132751 × 179951 × 5794391 × 128818831 × 3812358161 × 3203431780337<13> × 452824604065751<15> × 4410975230650827973711<22> |
296: | \[2^{296}-1\] | 3 × 5 × 17 × 149 × 223 × 593 × 1777 × 25781083 × 184481113 × 231769777 × 616318177 × 20988936657440586486151264256610222593863921<44> |
297: | \[2^{297}-1\] | 7 × 23 × 73 × 89 × 199 × 153649 × 262657 × 599479 × 8950393 × 33057806959<11> × 170886618823141738081830950807292771648313599433<48> |
298: | \[2^{298}-1\] | 3 × 1193 × 650833 × 38369587 × 86656268566282183151<20> × 8235109336690846723986161<25> × 7984559573504259856359124657<28> |
299: | \[2^{299}-1\] | 47 × 599 × 8191 × 178481 × 9341359 × 14718679249<11> × 13444476836590589479<20> × 51441563151591093599<20> × 260242449712509916159<21> |