Base 21 Repunits
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
100: | \[{21^{100}-1\over20}\] | 22 × 52 × 11 × 13 × 17 × 41 × 101 × 19501 × 40841 × 56501 × 185641 × 2031851 × 11093851 × 920421641 × 33360993558601<14> × 248303068144516751<18> × 27385718497004633851<20> × 2105812970476039816410905651801<31> |
101: | \[{21^{101}-1\over20}\] | 2782147 × 5766091 × 322064357 × 9169578247930711724838223927<28> × 36945809153030964318516966609973698395187560924157000812220580201578519173448190367<83> |
102: | \[{21^{102}-1\over20}\] | 2 × 11 × 103 × 421 × 463 × 11969 × 38047 × 114089969144083169<18> × 1502097124754084594737<22> × 51233569124705721849500009982296618143<38> × 20813096623337757798888685318376525907607<41> |
103: | \[{21^{103}-1\over20}\] | 4327 × 49853 × 3578319942163234761948197423711625937273928656180280573469957211934243130134304207939291415435034091514822796033427258153670673<127> |
104: | \[{21^{104}-1\over20}\] | 23 × 11 × 132 × 17 × 53 × 79 × 32969 × 97241 × 101089 × 189437 × 516094151 × 7021471715414521<16> × 23509884574335185209<20> × 2927682077813715874149933185385605053168690918973651083914101281<64> |
105: | \[{21^{105}-1\over20}\] | 5 × 43 × 211 × 463 × 631 × 1471 × 3319 × 4789 × 6427 × 9391 × 18181 × 40841 × 4149601 × 20028751 × 81090871 × 227633407 × 3987476221 × 421503321597121<15> × 5124240195826801224421<22> × 1855106691418101398774071<25> |
106: | \[{21^{106}-1\over20}\] | 2 × 11 × 107 × 1697 × 8693 × 207612155793974069<18> × 372515213872960388437<21> × 4555268603071594349347155493<28> × 167223466685805761701453712891<30> × 3494212075791575531835909274237181<34> |
107: | \[{21^{107}-1\over20}\] | 1734899 × 4272624310883<13> × 352523466309500183<18> × 55837009494804076861723<23> × 16339864316070753885738065827<29> × 62966131031683950925080167776709767184533584081571817<53> |
108: | \[{21^{108}-1\over20}\] | 22 × 11 × 13 × 17 × 19 × 37 × 61 × 109 × 163 × 199 × 421 × 463 × 613 × 1693 × 3181 × 5077 × 17497 × 4779433 × 85775383 × 4344847859197<13> × 7429452749713<13> × 7101932659132249<16> × 360697466924286697<18> × 1103447100998503280657719551313<31> |
109: | \[{21^{109}-1\over20}\] | 252649631352967<15> × 243559381356675673<18> × 1075844735830122358017703049625189977667287013021268821502115973717283800539785976074877960131456456976157869419<112> |
110: | \[{21^{110}-1\over20}\] | 2 × 5 × 112 × 23 × 881 × 2971 × 6073 × 40841 × 185641 × 10362529 × 5664205361<10> × 17513875027111<14> × 270573999780463721<18> × 8407123807237422961<19> × 54598616218616435702441<23> × 3246571517440758538481384401171<31> |
111: | \[{21^{111}-1\over20}\] | 463 × 4663 × 31081 × 21475393 × 1681762703 × 7995105693353508392600118377453099<34> × 1506746820371368761835938047460405587619684925236106295173833131814373634461587418519<85> |
112: | \[{21^{112}-1\over20}\] | 24 × 11 × 13 × 17 × 29 × 43 × 113 × 617 × 631 × 3319 × 3697 × 12097 × 62897 × 97241 × 300673 × 912521 × 81867661 × 68454248717<11> × 115593326297<12> × 831380909129<12> × 31548272195219921<17> × 67888223448153422105362819002556545290401<41> |
113: | \[{21^{113}-1\over20}\] | 227 × 332447 × 768053632358191<15> × 2848908845742998189988598903<28> × 13882020027413204621222579528393197501<38> × 5616674628667674074541197792169903784792943111117930947154929<61> |
114: | \[{21^{114}-1\over20}\] | 2 × 11 × 421 × 463 × 304609 × 609673 × 5285953 × 67505443 × 12061389013<11> × 54921106624003<14> × 987749814642143197<18> × 1168393184916024427650240126995059<34> × 1244541772187848099210936765314595053007129<43> |
115: | \[{21^{115}-1\over20}\] | 5 × 47 × 1381 × 19597 × 40841 × 282924347471791<15> × 139870566115103282847737<24> × 3394964812534556016503466037951<31> × 162708209139159956445385758966200454982244714891163955510792310084461<69> |
116: | \[{21^{116}-1\over20}\] | 22 × 11 × 13 × 17 × 59 × 349 × 1277 × 18097 × 1103704099 × 246763300513<12> × 687613372491653<15> × 1792484183066669<16> × 7865855595529911658005355038639053<34> × 9759093518513238012039627213817579718073176623974473<52> |
117: | \[{21^{117}-1\over20}\] | 79 × 463 × 547 × 1171 × 189437 × 61045219 × 85775383 × 516094151 × 80459337199345300130638393<26> × 479667952955520596219571126379<30> × 5409410795213092497224719423678323088390021822753211482321<58> |
118: | \[{21^{118}-1\over20}\] | 2 × 11 × 896447 × 334217419 × 3085597813 × 47540111129611360301<20> × 3599933694931243085497791696053868938364103<43> × 15106936038203961355993446093478189757934421447231148098564025562337<68> |
119: | \[{21^{119}-1\over20}\] | 43 × 631 × 3319 × 14281 × 44983 × 1502097124754084594737<22> × 2799538602198455356994757392557147<34> × 228981930777446745490310485965805923037<39> × 19822950076647947256661837016844167085154211713<47> |
120: | \[{21^{120}-1\over20}\] | 23 × 5 × 11 × 13 × 17 × 31 × 41 × 61 × 73 × 211 × 421 × 463 × 601 × 2551 × 3181 × 9391 × 18181 × 40841 × 97241 × 185641 × 501001 × 1360861 × 3441241 × 40086001 × 518118697 × 920421641 × 415710882920521<15> × 1053606939618901<16> × 84947863319467630678021906123321<32> |
121: | \[{21^{121}-1\over20}\] | 17513875027111<14> × 25400947557093092161<20> × 1094642996710826219735129227785915893367653427444929746456584017045151470091370769903278728324073277790247936858477306484443951<127> |
122: | \[{21^{122}-1\over20}\] | 2 × 11 × 367 × 15373 × 75641 × 12519763 × 15569711981<11> × 1128331159687<13> × 132538677158969693<18> × 1814065850324073713<19> × 37376752870606823789<20> × 9600772802405878717656259<25> × 57398774322642953389748085156004642469<38> |
123: | \[{21^{123}-1\over20}\] | 83 × 463 × 14122861 × 83218931 × 17222085343<11> × 914531249431<12> × 52899783148909<14> × 1474011104949958983856849<25> × 367541000424902470501250402608394113<36> × 10534031885860928959842755452634273061203152273<47> |
124: | \[{21^{124}-1\over20}\] | 22 × 11 × 13 × 17 × 66713 × 78059 × 92753 × 4540713283<10> × 3936833990413<13> × 272581865551637989<18> × 13163658325422541897<20> × 56748249908554278937564172324714039<35> × 263790388079541107039607586199349904436518481062297<51> |
125: | \[{21^{125}-1\over20}\] | 53 × 251 × 21001 × 40841 × 2031851 × 27385718497004633851<20> × 61856751975900984009042515310001<32> × 1022489037962669248379370596767610133652264632743914995422849949035287375154623906974122897251<94> |
126: | \[{21^{126}-1\over20}\] | 2 × 11 × 19 × 37 × 43 × 127 × 199 × 337 × 421 × 463 × 613 × 631 × 3319 × 4789 × 6427 × 51787 × 516349 × 734329 × 81867661 × 85775383 × 227633407 × 22125429901<11> × 22864311556633<14> × 27186384126763<14> × 4527391635851869<16> × 100595851688887003<18> × 231877932177836345689<21> |
127: | \[{21^{127}-1\over20}\] | 509 × 85853 × 123564234215209<15> × 526073566316093<15> × 21045416332383383<17> × 6619201108364006378440292620708869500505245589624095987<55> × 105546738449008968050440888723415799976700232611051102641043<60> |
128: | \[{21^{128}-1\over20}\] | 27 × 11 × 13 × 17 × 257 × 641 × 1217 × 1409 × 2689 × 31873 × 62897 × 97241 × 300673 × 527489 × 6857635489<10> × 70660081537<11> × 1023263388750334684164671319051311082339521<43> × 242055625097457531000185232276713458675446736812859343682689<60> |
129: | \[{21^{129}-1\over20}\] | 463 × 1033 × 1135201 × 7953436401867987800552310336799<31> × 35842614220783025524408588074144786493150233831596714503<56> × 119000957796440462394517307940919912228603619382831962610320796808847023<72> |
130: | \[{21^{130}-1\over20}\] | 2 × 5 × 11 × 79 × 131 × 521 × 40841 × 185641 × 189437 × 443431 × 516094151 × 7021471715414521<16> × 101619538800983513441<21> × 57931461377789233256346069736652710022521<41> × 47999819885150422820855221255204479443163906801765079421<56> |
131: | \[{21^{131}-1\over20}\] | 1049 × 2470162463 × 229027002385831089465739609724278489582787<42> × 13687052074332591601541282383301905745371122445745433886164039445273884190933317364799124290237834799701349135257178899<119> |
132: | \[{21^{132}-1\over20}\] | 22 × 112 × 13 × 17 × 23 × 61 × 67 × 89 × 421 × 463 × 661 × 3181 × 3499 × 6073 × 28513 × 33199 × 10362529 × 17513875027111<14> × 87989435079877<14> × 724051700079313<15> × 4718573764413203147069<22> × 3955202198062795629622003<25> × 107148448424462133146016309681831670177<39> |
133: | \[{21^{133}-1\over20}\] | 43 × 631 × 3319 × 12061389013<11> × 54921106624003<14> × 948175293266954869500463698756935713088089028515629708586399<60> × 63329476461782882569173744712807443377466798335943392324014170553080956816124248119<83> |
134: | \[{21^{134}-1\over20}\] | 2 × 11 × 269 × 278051 × 324363426169571<15> × 312929837239650768379490219650039<33> × 71028332352256443443129296219339913167<38> × 6340822630701755986496764672651013784788497018816491797711071984283214713483666711<82> |
135: | \[{21^{135}-1\over20}\] | 5 × 109 × 163 × 211 × 463 × 9391 × 18181 × 40841 × 4779433 × 41489011 × 57815101 × 85775383 × 7429452749713<13> × 192787782171121<15> × 22554946693833031<17> × 2447244788249267691839821<25> × 335762586163588511737475534667790066590701118595773133381<57> |
136: | \[{21^{136}-1\over20}\] | 23 × 11 × 13 × 172 × 137 × 953 × 11969 × 97241 × 2610929 × 300293033 × 2691707418840001<16> × 114089969144083169<18> × 5357156372335908409<19> × 1502097124754084594737<22> × 399981195234791390040813065378761<33> × 852043808963865734150481907266273656921<39> |
137: | \[{21^{137}-1\over20}\] | 1434935907463<13> × 26713431631673<14> × 45072031559057<14> × 72752932313208962053<20> × 2507048871610995663351125327991556777<37> × 2210704839453987084654529873799609279235272917800596662452622653082037998178772558979<85> |
138: | \[{21^{138}-1\over20}\] | 2 × 11 × 47 × 139 × 277 × 421 × 461 × 463 × 599 × 691 × 19597 × 459878292118921111<18> × 2215825387044753577<19> × 139870566115103282847737<24> × 31179105887601949149105715319437017328831<41> × 113446385036884293778618204054931232136334832994350798619<57> |
139: | \[{21^{139}-1\over20}\] | 4329622389913701641<19> × 687423001115670029908380379<27> × 1717466079724751615975579073185741<34> × 242224065084426595683370880085175862126081<42> × 248126091920645287176283880883366502408919085389410430715613361<63> |
140: | \[{21^{140}-1\over20}\] | 22 × 5 × 11 × 13 × 17 × 29 × 41 × 43 × 71 × 631 × 1471 × 3319 × 3697 × 40841 × 50261 × 140351 × 185641 × 4149601 × 4325861 × 20028751 × 78555121 × 81867661 × 920421641 × 68454248717<11> × 92152520881<11> × 421503321597121<15> × 72413241922093801<17> × 146453218893643838406593856001717939447081<42> |
141: | \[{21^{141}-1\over20}\] | 463 × 49727 × 227011 × 38571961 × 75042551 × 158545759 × 5298873343<10> × 62754239731<11> × 26050530648193<14> × 471375279539413<15> × 85297241991463563433<20> × 9794718038248648833094153<25> × 16557682722621587651041257050155686425265489802868579623<56> |
142: | \[{21^{142}-1\over20}\] | 2 × 11 × 493509073 × 826880829487<12> × 172132091765842074983<21> × 6912925952086714539251625713<28> × 110556144297525239244017467747224789359885811468762753179<57> × 2409031482389671650882277254771562219466455949802660831413381<61> |
143: | \[{21^{143}-1\over20}\] | 79 × 189437 × 516094151 × 197647219771<12> × 17513875027111<14> × 713255542756934588000409316079479675200443737<45> × 3133215050775538159999253890862035621216929079706901880925831712192141277620814505531687549750066100763<103> |
144: | \[{21^{144}-1\over20}\] | 24 × 11 × 13 × 17 × 19 × 37 × 61 × 73 × 193 × 199 × 421 × 433 × 463 × 613 × 673 × 1693 × 3181 × 62897 × 97241 × 300673 × 816769 × 1001713 × 25392481 × 85775383 × 518118697 × 808208209 × 4344847859197<13> × 4116371120264449<16> × 81967288802253121<17> × 711232550734200751494958531511588181663062004769<48> |
145: | \[{21^{145}-1\over20}\] | 5 × 59 × 40841 × 1504231 × 1103704099 × 246763300513<12> × 687613372491653<15> × 10560867746962116514771<23> × 21933305517206008074555499460677419485784113293205521<53> × 33516108735906048319408808055288256871397516473638732084022278909501<68> |
146: | \[{21^{146}-1\over20}\] | 2 × 11 × 293 × 439 × 877 × 1607 × 30661 × 8303167 × 9428689079641451<16> × 1427364308750988577<19> × 7464630301668237280651468212188413809960173<43> × 5424905842809814580790135175148153005273370039115139875248165723989059011789226683837426053<91> |
147: | \[{21^{147}-1\over20}\] | 43 × 463 × 631 × 3319 × 4789 × 6427 × 7057 × 17053 × 1287133 × 1519099 × 227633407 × 1606344741163<13> × 1767442850839<13> × 266450990381897623<18> × 1703751007820049542146461103<28> × 7511823115405357369289846817961357<34> × 17460141974669146302241107654783887359178281<44> |
148: | \[{21^{148}-1\over20}\] | 22 × 11 × 13 × 17 × 149 × 593 × 31081 × 1681762703 × 7995105693353508392600118377453099<34> × 379919184478057330357419845346252603881265273961<48> × 1788811503934407101186498308824780458046366903126234228620483937887212343860808538302796253<91> |
149: | \[{21^{149}-1\over20}\] | 1193 × 4149000929822858713<19> × 19200704422015926819331744380572154435059819<44> × 53919242439762773005242386860200557456243874686294562852445931950590020366014258150390180061554764542320310512176525567625295129239<131> |
150: | \[{21^{150}-1\over20}\] | 2 × 52 × 11 × 31 × 101 × 151 × 211 × 421 × 463 × 1051 × 1801 × 2551 × 9391 × 18181 × 40841 × 185641 × 386851 × 501001 × 2031851 × 11093851 × 263977951 × 9728219701<10> × 201307465501<12> × 895322420811001<15> × 248303068144516751<18> × 27385718497004633851<20> × 138288178346489520230701<24> × 846605446315436611973101<24> |
151: | \[{21^{151}-1\over20}\] | 907 × 6761621753<10> × 3974667798337168284581<22> × 71961086116587981948793<23> × 86925566545463574785698705608720765611<38> × 14821060283992203753220587630846186567475544369812675624726529439092031886282399777198385098934169620087<104> |
152: | \[{21^{152}-1\over20}\] | 23 × 11 × 13 × 17 × 229 × 457 × 97241 × 136649 × 609673 × 6629177 × 12061389013<11> × 54921106624003<14> × 8871582886760161<16> × 987749814642143197<18> × 4370570172021545617284038736601<31> × 4510053597010461591911520110711387257<37> × 3794540985952206860593938878074866571399837<43> |
153: | \[{21^{153}-1\over20}\] | 463 × 15607 × 38047 × 80031547 × 85775383 × 625770304116639832567<21> × 1502097124754084594737<22> × 34098331055594280023053<23> × 847586878961383719143557147<27> × 51233569124705721849500009982296618143<38> × 379395745875808971155324352649338339586035997<45> |
154: | \[{21^{154}-1\over20}\] | 2 × 112 × 23 × 43 × 631 × 3319 × 6073 × 10362529 × 81867661 × 6225803431<10> × 123679698913<12> × 17513875027111<14> × 15502260840362954719909<23> × 37681894326794146626121<23> × 312273321889143336074893<24> × 39824892937303186001525100993399811<35> × 82721492925050166710438512180782661<35> |
155: | \[{21^{155}-1\over20}\] | 5 × 311 × 40841 × 519169711 × 4540713283<10> × 397280183491<12> × 3936833990413<13> × 272581865551637989<18> × 331444555707209696951<21> × 10051236464468058997903023288131<32> × 2066946122082360949514509181598305257599462100251009362457171229571826170644439791511<85> |
156: | \[{21^{156}-1\over20}\] | 22 × 11 × 132 × 17 × 53 × 61 × 79 × 157 × 421 × 463 × 547 × 1171 × 3181 × 6709 × 11701 × 32969 × 101089 × 189437 × 629773 × 516094151 × 7021471715414521<16> × 23509884574335185209<20> × 7691526674487958994017<22> × 80459337199345300130638393<26> × 193538987428465501811153413<27> × 14394080037015419873205085261549<32> |
157: | \[{21^{157}-1\over20}\] | 94201 × 22283011 × 562990697 × 927769418893<12> × 771665274541267<15> × 6340852464650001524284475768730383408507<40> × 36128673184132773582933876451093687972835000129153707924245857928468744525906461419912826363972237547111359700431261443<119> |
158: | \[{21^{158}-1\over20}\] | 2 × 11 × 2687 × 10903 × 15208288358346544216626697<26> × 122435283552586211204658864416622901<36> × 261513239159154440967606433092726647<36> × 41784481746279594641483665441943191140798018660203<50> × 310374893244028301475836717855447777747952185668931927<54> |
159: | \[{21^{159}-1\over20}\] | 463 × 1697 × 12721 × 207612155793974069<18> × 372515213872960388437<21> × 4555268603071594349347155493<28> × 2018656483852209137639505692992077007<37> × 75685729452842223963000669830840612177358577<44> × 158879028706827226982727678188557736958029273812511839<54> |
160: | \[{21^{160}-1\over20}\] | 25 × 5 × 11 × 13 × 17 × 41 × 241 × 1217 × 2689 × 9521 × 31873 × 35201 × 40841 × 62897 × 97241 × 185641 × 300673 × 3441241 × 22995281 × 33534961 × 920421641 × 3184193681 × 6857635489<10> × 363230092241<12> × 415710882920521<15> × 742519225358081<15> × 160240451081797786982584096011519912592914325275939917098602236161<66> |
161: | \[{21^{161}-1\over20}\] | 43 × 47 × 631 × 3319 × 19597 × 36709 × 4897051993<10> × 28514133943<11> × 32792468187424849<17> × 139870566115103282847737<24> × 989841672456580427804885218352119985137687<42> × 19527664822346443228748973869572070909123582858479071409999979815929801049293816407083453837<92> |
162: | \[{21^{162}-1\over20}\] | 2 × 11 × 19 × 37 × 109 × 163 × 199 × 421 × 463 × 613 × 1783 × 5077 × 17497 × 110323 × 4779433 × 85775383 × 7429452749713<13> × 7101932659132249<16> × 1276510846672627851615095313889284277672664124131976230679615049<64> × 251097226443098886970664441840231990201201851332912023687544574398706423<72> |
163: | \[{21^{163}-1\over20}\] | 13693 × 14599604213<11> × 561788105646941<15> × 71382227518918280601812453<26> × 233873265768022293940710651427<30> × 375293848786689453728783544296310281471843370384860719701298799<63> × 23624394860436672961074440125549492456615261234980975872188679386843<68> |
164: | \[{21^{164}-1\over20}\] | 22 × 11 × 13 × 17 × 83 × 1231 × 1766117 × 14122861 × 83218931 × 17222085343<11> × 153065748541<12> × 914531249431<12> × 52899783148909<14> × 166149756476309<15> × 294168762061816395873078148041249581<36> × 33985282117517881270903492784746835442538163<44> × 799071455809679496983356625426375581688059909<45> |
165: | \[{21^{165}-1\over20}\] | 5 × 67 × 211 × 331 × 463 × 881 × 3301 × 9391 × 18181 × 40841 × 372901 × 5664205361<10> × 182894303461<12> × 17513875027111<14> × 28503846834226831<17> × 270573999780463721<18> × 54598616218616435702441<23> × 3955202198062795629622003<25> × 237967900696723393143507690151891<33> × 12445053671159143233988565211478891<35> |
166: | \[{21^{166}-1\over20}\] | 2 × 11 × 167 × 756131 × 941221 × 340541835197467124476215159811<30> × 59923443964076110556880753544175063<35> × 123598028795681525040744945941933185295442497<45> × 23343519976297040387448341592997138604460338237413223529466429945751726176986579124533941307079<95> |
167: | \[{21^{167}-1\over20}\] | 1102201 × 19470197 × 20231878724432159106473151940489466149676377569946589675188861313754293570228700650486980343491462439<101> × 7446031435458004141923577009324871384387277476816498485650562324308647434520507573854037042870112336785089<106> |
168: | \[{21^{168}-1\over20}\] | 23 × 11 × 13 × 17 × 29 × 43 × 61 × 73 × 337 × 421 × 463 × 617 × 631 × 3181 × 3319 × 3697 × 4789 × 6427 × 18481 × 97241 × 912521 × 7658113 × 81867661 × 227633407 × 518118697 × 68454248717<11> × 115593326297<12> × 266902182961<12> × 831380909129<12> × 22864311556633<14> × 2934413293238858072198024161<28> × 1432367584775648032290819051792496005705116017<46> |
169: | \[{21^{169}-1\over20}\] | 79 × 189437 × 516094151 × 787331117 × 51032784753339594393762302249756328003879131971060424025791<59> × 4594130155343871975058851367976626872561710502528706854567172756009712468440851511490609405787706740526924640052740822297629391041650057319<139> |
170: | \[{21^{170}-1\over20}\] | 2 × 5 × 11 × 1361 × 1531 × 11969 × 40841 × 185641 × 3549804001 × 39748187549971<14> × 114089969144083169<18> × 1502097124754084594737<22> × 11500287881306297400572689205013166485061<41> × 346846213951614446714019035689488886491130381<45> × 14923927201647231692066520884112168808387109788676424881<56> |
171: | \[{21^{171}-1\over20}\] | 463 × 28387 × 304609 × 85775383 × 3263277133 × 12061389013<11> × 54921106624003<14> × 1769098309517989<16> × 201773586986282524421768503820293<33> × 1244541772187848099210936765314595053007129<43> × 1906545596109201001931181173321063934469362055720076288290431439788614388343220743<82> |
172: | \[{21^{172}-1\over20}\] | 22 × 11 × 13 × 17 × 173 × 15739 × 126851 × 4818409 × 295931677 × 11665928381<11> × 169367548429<12> × 1163308526467<13> × 1229778870010013<16> × 478811691676843729951<21> × 35842614220783025524408588074144786493150233831596714503<56> × 56832351855909996916126094373146668608682666750117601137022471619056029<71> |
173: | \[{21^{173}-1\over20}\] | 2547599 × 114983422063191099936091634498136270710100968230735265578439191<63> × 946545933133851067986018421923330681730547286842908589819715975345332245491807955621547125989615345481172266563524635583004511802633134764693908050800371173037<159> |
174: | \[{21^{174}-1\over20}\] | 2 × 11 × 59 × 421 × 463 × 1277 × 5743 × 15661 × 729931 × 1103704099 × 246763300513<12> × 687613372491653<15> × 69250702723682869<17> × 7826081384442721874824416529<28> × 7865855595529911658005355038639053<34> × 25513656237116849236180811006302793510107213<44> × 13477015991023291802765110016390772920553907009<47> |
175: | \[{21^{175}-1\over20}\] | 52 × 43 × 631 × 1471 × 3319 × 40841 × 81901 × 2031851 × 4149601 × 20028751 × 24602533201<11> × 421503321597121<15> × 27385718497004633851<20> × 37686242599452410706868538086801<32> × 6107498812503060189977652663684219147254525910663051537427182386752756045066004222730822829713729595685422017301<112> |
176: | \[{21^{176}-1\over20}\] | 24 × 112 × 13 × 17 × 23 × 89 × 353 × 661 × 6073 × 62897 × 97241 × 300673 × 10362529 × 313433209 × 715521049 × 17513875027111<14> × 29831330140869137<17> × 32775913825604401<17> × 1105893073846539560737<22> × 4718573764413203147069<22> × 5417893210329015131948953725882474363297451134897776377577729527032001321285285179073<85> |
177: | \[{21^{177}-1\over20}\] | 463 × 709 × 896447 × 334217419 × 47540111129611360301<20> × 30929958506284355669683837<26> × 25450021381448750834132998943947<32> × 3599933694931243085497791696053868938364103<43> × 4069884303244892255906748652221598705210600026250088818120235939411704973070877761427035294811<94> |
178: | \[{21^{178}-1\over20}\] | 2 × 11 × 179 × 3357259 × 138348511207<12> × 330901808518637<15> × 27329974534657721237<20> × 265584888342742928831<21> × 1814250359778886183181<22> × 82607166715167534575509117058219<32> × 1719937817227174896868741057213630597485253956382680484361683645714455944660556942937263903929864448451087<106> |
179: | \[{21^{179}-1\over20}\] | 6803 × 12889 × 2027713 × 28739902275014980163546625880652015331955019287832976374361568207195638266664469886412815364734295860251332877<110> × 4653849070153408649951413909561827334268434279713859073327066819640634253479106720789945017525332426399319640897<112> |
180: | \[{21^{180}-1\over20}\] | 22 × 5 × 11 × 13 × 17 × 19 × 31 × 37 × 41 × 61 × 181 × 199 × 211 × 421 × 463 × 613 × 1693 × 2551 × 3181 × 9391 × 18181 × 40841 × 185641 × 501001 × 658261 × 1360861 × 41489011 × 57815101 × 85775383 × 920421641 × 4344847859197<13> × 1053606939618901<16> × 22554946693833031<17> × 41764164884102175841<20> × 82207575664095002495707981<26> × 387296681442215139403864858966948878324061<42> |
181: | \[{21^{181}-1\over20}\] | 2897 × 3620044056290187204713352805029847990113129380555274487693407200216396640633843128186511066054629906766552683325161752702755420262071348816640893502735264892806681865599144279804220725877318809988943474703929162770227098647703948422573<235> |
182: | \[{21^{182}-1\over20}\] | 2 × 11 × 43 × 79 × 631 × 3319 × 189437 × 81867661 × 516094151 × 97334207034611<14> × 7021471715414521<16> × 35381269315942497678572657090020747<35> × 1737708201406774525206464521323498021877<40> × 981183555175800288957395067736239079892543<42> × 4264091474110761334946377629947327910839217826620223120485043<61> |
183: | \[{21^{183}-1\over20}\] | 463 × 1831 × 15373 × 12519763 × 57733681069<11> × 1128331159687<13> × 1814065850324073713<19> × 57398774322642953389748085156004642469<38> × 4178836442844651515511329527862686487954990612118576877028484300815594328136337574487489188497255773480504997158374044802523431896824973648289859<145> |
184: | \[{21^{184}-1\over20}\] | 23 × 11 × 13 × 17 × 47 × 277 × 461 × 599 × 691 × 19597 × 97241 × 7522289 × 477045301 × 781621671529<12> × 11918195405621<14> × 2215825387044753577<19> × 139870566115103282847737<24> × 16122157179747873899321928032897737<35> × 2641770975903509717963660601029203121<37> × 2390704756837404868702967945816106086453374158469862895908737073<64> |
185: | \[{21^{185}-1\over20}\] | 5 × 31081 × 40841 × 1681762703 × 10738834628461552327151<23> × 805835118294704523571872311<27> × 7995105693353508392600118377453099<34> × 2761759803910063342109452450796117239047734185634311505245768046477780798015602520109978435231997220399829212738318616214647006920765874830281<142> |
186: | \[{21^{186}-1\over20}\] | 2 × 11 × 373 × 421 × 463 × 1303 × 78059 × 70672747 × 185040613 × 4035955783 × 4540713283<10> × 3936833990413<13> × 783622559828503<15> × 272581865551637989<18> × 5490236844314625181981860471139<31> × 56748249908554278937564172324714039<35> × 545433510558480076170784902124529747359<39> × 7687249112242592598176964045333142849438561<43> |
187: | \[{21^{187}-1\over20}\] | 51239 × 17513875027111<14> × 765464515091513689<18> × 1502097124754084594737<22> × 975445747250107665555691903049<30> × 893653232599703974920871369442322429783560168273312923073800591562358852946149890611480777927863456119289243404490761977035905704889551283604368072835558008119<159> |
188: | \[{21^{188}-1\over20}\] | 22 × 11 × 13 × 17 × 283 × 1129 × 2069 × 49727 × 227011 × 10165349 × 32036611 × 75042551 × 158545759 × 5298873343<10> × 230199028303<12> × 2482265166773333982451717<25> × 9794718038248648833094153<25> × 264564425522789761284612235919<30> × 8562148818687129859327199364465468655642070625259011542401109720925808937715188723350576775777<94> |
189: | \[{21^{189}-1\over20}\] | 43 × 109 × 127 × 163 × 379 × 463 × 631 × 757 × 3319 × 4789 × 6427 × 51787 × 4779433 × 85775383 × 227633407 × 4167831781 × 22125429901<11> × 7429452749713<13> × 27186384126763<14> × 100595851688887003<18> × 559529226207687925351<21> × 592823611828574163154462624637481670158792334981<48> × 158960891807692552808356500085059265746129175440701992893457<60> |
190: | \[{21^{190}-1\over20}\] | 2 × 5 × 11 × 191 × 40841 × 185641 × 205391 × 609673 × 12061389013<11> × 18806124191<11> × 19449969211<11> × 54921106624003<14> × 619598441951897251<18> × 987749814642143197<18> × 2522688573446019221<19> × 4962575794097659196896553056277931780683391554141<49> × 224946077318312621202864321882925242281698103188770132390249098696465091061151<78> |
191: | \[{21^{191}-1\over20}\] | 383 × 2293 × 35527 × 1447399 × 12157448103888869384609<23> × 318612816121824718517175769546051529632781606401807854207837380465693536727738620941684717510405710643093552677311710544824765427949317346276055552245866536983073030526566853530745398528539639894493046709103157177<213> |
192: | \[{21^{192}-1\over20}\] | 26 × 11 × 13 × 17 × 61 × 73 × 97 × 193 × 421 × 433 × 463 × 673 × 1217 × 2689 × 3181 × 31873 × 62897 × 97241 × 300673 × 1001713 × 25392481 × 518118697 × 6857635489<10> × 93310250563834657<17> × 226108215051938888394049<24> × 1023263388750334684164671319051311082339521<43> × 4188271851027274266670020743752976432915771677772626012838670551841090107568380000641<85> |
* 193: | \[{21^{193}-1\over20}\] | 155123125453<12> × 38229676354673148794146401001<29> × [13008185462468519315377199077803103532203082983936426415674386525290108562039173577341825293441480745129960341626402980820816643272894763452860183817988444023889057805670929674811370063825201637651222270790452347901<215>] |
194: | \[{21^{194}-1\over20}\] | 2 × 11 × 1747 × 298027069 × 188495925509<12> × 99141858256733<14> × 29748627560719740825024892426535732998061<41> × 5860963105358989903195525558207622859647715180010295355986863<61> × 43405717680902990318449856341748463143189923136522815794131692434913012997754889678341931999705520891459296823065229<116> |
195: | \[{21^{195}-1\over20}\] | 5 × 79 × 131 × 211 × 463 × 547 × 1171 × 9391 × 18181 × 40841 × 189437 × 443431 × 516094151 × 702978785993374112119171<24> × 80459337199345300130638393<26> × 47999819885150422820855221255204479443163906801765079421<56> × 12801249738878817126188071191894856280718343847929106839732904881739093191476709420994139418551374413291<104> |
196: | \[{21^{196}-1\over20}\] | 22 × 11 × 13 × 17 × 29 × 43 × 197 × 631 × 1373 × 3319 × 3697 × 7057 × 266953 × 25268713 × 81867661 × 68454248717<11> × 1606344741163<13> × 1767442850839<13> × 2524084462789<13> × 86494371600108393937<20> × 1177455793090616585141<22> × 156357474589352978545297<24> × 1703751007820049542146461103<28> × 542402215683980150442690137563795758172071608525405860609723655091935189<72> |
197: | \[{21^{197}-1\over20}\] | 70921 × 75516500531<11> × 2801266063501624207252587937586292184869137949929543308468616758513350857533432103638984523592404006364024997807103917931586777142464895752613524125800561317330000055986365525696923877580804280154540174026359787662675588866468373568035545500967<244> |
198: | \[{21^{198}-1\over20}\] | 2 × 112 × 19 × 23 × 37 × 67 × 199 × 421 × 463 × 613 × 3499 × 6073 × 28513 × 33199 × 1130581 × 10362529 × 85775383 × 17513875027111<14> × 87989435079877<14> × 782006960636353<15> × 146354764854514987<18> × 3955202198062795629622003<25> × 188145268678304791443009491673532813732054627291<48> × 19050347137684245501074582624627605674546940303323636856235442615869112421<74> |
199: | \[{21^{199}-1\over20}\] | 1044957359 × 6331565260709890138884597221193329963829226236129405575753504874345591946858600508882237404779622609985286481116357545872539801525369742704655540135158026779443572258850206676632951008694656406839043384849327620513581713443605484658017665680571536433941<253> |