Factors of 21...1

Numbers are given in compact notation 2(n) where n is the number of 1's that follow the digit 2. For example, 21111111 would be written 2(7). All prime factors are listed.  Factors with the notation (probable prime) are not proven prime. Numbers in square bracket preceeded by "Cn" are unresolved composite factors. Entries in red are not completely factored, or have factors not proven prime.

2( 1 ) = 3 * 7

2( 2 ) = Prime

2( 3 ) = Prime

2( 4 ) = 3 * 31 * 227

2( 5 ) = 107 * 1973

2( 6 ) = 17 * 124183

2( 7 ) = 3^7 * 7^2 * 197

2( 8 ) = 1033 * 204367

2( 9 ) = 2087 * 1011553

2( 10 ) = 3 * 7037037037

2( 11 ) = 9551 * 22103561

2( 12 ) = Prime

2( 13 ) = 3 * 7 * 29 * 33353 * 1039343

2( 14 ) = 971 * 37441 * 5806901

2( 15 ) = 309577 * 6819340943

2( 16 ) = 3^2 * 71 * 769 * 42961940921

2( 17 ) = 23 * 47 * 6772313 * 28836887

2( 18 ) = Prime

2( 19 ) = 3 * 7 * 31 * 113 * 2027 * 23581 * 6003931

2( 20 ) = 67 * 157 * 20069503860738769

2( 21 ) = 307 * 408926327 * 16816191499

2( 22 ) = 3* 17 * 653 * 95824423 * 6615330119

2( 23 ) = Prime

2( 24 ) = 1242488467163 * 1699099160197

2( 25 ) = 3^2 * 7 * 2416619 * 138663563335249963

2( 26 ) = 907 * 232757564620850177630773

2( 27 ) = 254083 * 8308746004695753399917

2( 28 ) = 3 * 127 * 431 * 3808127 * 33759610095081763

2( 29 ) = 571 * 775121 * 485481811 * 982499904311

2( 30 ) = 151 * 277 * 294443687 * 171416304415893739

2( 31 ) = 3 * 7 * 7741 * 45898459 * 2829414824112960389

2( 32 ) = 211 * 1000526592943654555028962611901

2( 33 ) = 480929 * 4389652341844869224170534759

2( 34 ) = 3^3 * 31 * 1301 * 14257910171 * 1359729321137068093

2( 35 ) = 261054614207 * 808685614511732739982073

2( 36 ) = 59 * 35781544256120527306967984934086629

2( 37 ) = 3 * 7 * 18743 * 94273 * 568938553124386216109978669

2( 38 ) = 17 * 61 * 389 * 523338558455677493439675728411527

2( 39 ) = 23 * 2531 * 2647 * 134626603 * 101766838187355299245367

2( 40 ) = 3 * 613 * 127529 * 638699 * 183538711 * 767885548900099829

2( 41 ) = 29 * 1395293 * 904176943368173 * 5770244954275794731

2( 42 ) = 38461 * 2822473 * 7916000569 * 2456715731182934533523

2( 43 ) = 3^2 * 7 * 33077041 * 10130803470711555798933072694249417

2( 44 ) = 122053 * 703471 * 2488469 * 988062005097645009788154113

2( 45 ) = 181 * 11663597298956414978514426028238182934315531

2( 46 ) = 3 * 1307 * 1182523920493 * 4553069867392619592853346973587

2( 47 ) = 1504271 * 2209644049 * 63513009161149292935108135300409

2( 48 ) = 774997 * 280372634044384779341 * 9715730248832975664343

2( 49 ) = 3 * 7^3 * 31 * 10167281 * 6803303848669 * 9567739195405857237951001

2( 50 ) = 122464257418949 * 1723858990047211171908077945154182939

2( 51 ) = 71 * 687067322294042321718403 * 43276631483717892435103147

2( 52 ) = 3 * 3 * 302833 * 2753102701103299 * 2813474418376229054507376103637

2( 53 ) = 67 * 61171510618409 * 69709907825819 * 738911753767671992743423

2( 54 ) = 17 * 3941411 * 5519706111539395297 * 5708138351644676754799254749

2( 55 ) = 3 * 7 * 589471639 * 1705410300988213091970809820913208160308609869

2( 56 ) = 407321147 * 596032123 * 869569837094348473594311975718733305631

2( 57 ) = Prime

2( 58 ) = 3 * 107 * 5011 * 2064312709500904288067 * 6357789868556854704933691330943

2( 59 ) = 49393 * 4274109916609865995406456605411922967042113479867817527

2( 60 ) = 50141227 * 24508368763 * 1717915222144799494407434550219399334716911

2( 61 ) = 3^3 * 7 * 23 * 31151 * 2082589192159836083849183 * 74859314911841687629072217461

2( 62 ) = 211 * 7307166228141553 * 127830421171356954587 * 1071138006376320243550391

2( 63 ) = 47 * 1201 * 97018923876294756019 * 385490582735336165329584773960001958627

2( 64 ) = 3 * 31 * 5153 * 51859 * 5747113005675632553603107 * 147806701667341327678652402443

2( 65 ) = 12739 * 2475305141 * 6694944946126267448966175440321760739922490488625689

2( 66 ) = 6443483 * 60632708459313953264364882761 * 5403603021989434626396375701597

2( 67 ) = 3 * 7 * 106782079 * 176418103 * 6417554653 * 7771576157 * 11057543542543 * 96763804532013781

2( 68 ) = 216801707 * 699836947 * 4363729950699699268421 * 318855315242714703425321331979

2( 69 ) = 29 * 97 * 2411 * 143413 * 2170479199726017936820628655473888600710180514661173592629

2( 70 ) = 3 ^2 * 17 * 127 * 2246869 * 73662191 * 6564377603737469261506075108262240502824410868149939

2( 71 ) = 1229 * 5492381 * 594781580835017 * 52582477137026497872673125133664597276697794567

2( 72 ) = 487 * 78277 * 3198313 * 16939001 * 1022207823538352084257908438377766269470692991779853

2( 73 ) = 3 * 7 * 36090244938200203 * 27854923318266027219396761630357444850229477092047515297

2( 74 ) = 379 * 1753 * 4357 * 1105810333247 * 3440599207795770509 * 19168480024754421034229437664330323

2( 75 ) = 2631457 * 802259398922768303305397394337475820851760492803458734499978951246823

2( 76 ) = 3 * 539677 * 3196112963 * 69178315843874475281 * 58974439464146823706196857999992011838827

2( 77 ) = 424903 * 496845423805224041983961306724384415057345114322824529624669891977959937

2( 78 ) = 1457957 * 21024259 * 68872473102681455258936463203118353188378547350979441812627417897

2( 79 ) = 3 * 3 * 7 * 31 * 397 * 881 * 3181 * 14138833 * 2057496923 * 333984263696010300885031500532548048427476659940029

2( 80 ) = 2203 * 156638873 * 10215626233 * 90537866051 * 149414154072959119393547 * 4427005438192394935514069

2( 81 ) = 269 * 18729698810059117529396721795457 * 419013502308186217970205330082337569070447791267

2( 82 ) = 3 * 120519271 * 58389309681744067610872264876519515597111743540475257579653274180832350347

2( 83 ) = 23 * 26879 * 11887363 * 8789012166052905559072447039 * 3268470411405408171702865794812605282768219

2( 84 ) = 300893 * 1316303 * 5330195472004537009478811079993013432852977463663392384490295236060494109

2( 85 ) = 3 * 7 * 131 * 2531 * 13933 * [C 75 ]

2( 86 ) = 17 * 67 * 71 * 1039 * 1974919 * [C 73 ]

2( 87 ) = 5258293 * 401482213165206106071135844105893511660744487062837904070981041016754127453740427

2( 88 ) = 3^4 * 149 * 1601 * 32392309 * 33729240780167051478894919433649258073924015142271220686981439506057441391

2( 89 ) = [C 90 ]

2( 90 ) = 186757 * 1286953 * [C 79 ]

2( 91 ) = 3 * 7^2 * 613 * 2677 * 83137 * [C 79 ]

2( 92 ) = 211 * 659 * [C 88 ]

2( 93 ) = 5013383 * [C 87 ]

2( 94 ) = 3 * 31 * 59 * [C 91 ]

2( 95 ) = [C 96 ]

2( 96 ) = 13877 * 152130223471291425460193926000656562017086626151986100101687044109757952807603308432017807243

2( 97 ) = 3^2 * 7 * 29 * 421 * 27446719777514000355073880069102173014587353736069164578187976227673718595716029303273685833

2( 98 ) = 61 * 157 * [C 95 ]

2( 99 ) = 277 * [C 97 ]

2( 100 ) = 3 * 81761 * 403687 * 1113199 * [C 84 ]

2( 101 ) =

2( 102 ) =

2( 103 ) =

2( 104 ) = 6601670334927966091273 * 1866189774604180828229747 * 17135684315086894519173645358196821319620027593520800217781

2( 105 ) = 23 * 109 * 151 * 197 * 276534191 * 851339947 * 25857695609 * 1335531205733 * 40773556647991 * 817574580827739211 * 104450831332913212160133811

2( 106 ) = 3^2 * 2221 * 19051 * 232189 * 11371918577077119262310563 * 20995531049367701440543111840362555903911626860014761978165488272807

2( 107 ) = 34543 * 165620297 * 36900944287591874756663331891012695168918242125744644869456986317742557108878449331912977651041

2( 108 ) = 929 * 32173 * 125243 * 249311 * 925103 * 128875817440609 * 18973497467171433804823814799666948652714367777889122613001223346719273

2( 109 ) = 3 * 7 * 31 * 47 * 419 * 12437 * 1561117 * 14803866599 * 79555414133801672586877607 * 72014878265820445873829759114754350221828773113192881241

2(110) = 937 * 51683 * 56311 * 3591613 * 21466638256307 * C[1004100014237973597286014031152496160286028366775641372895798254741149500099941]

2( 111 ) = 107 * 1103 * 6733 * 3247521756343 * 59883078028643 * 13661141899258399172435905135193533842008781144734839401011159298994397140123

...

2( 128 ) Prime