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100...01分解式

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发表于 2021-3-9 07:36 | 显示全部楼层 |阅读模式
各段(行)开头的101,1001……为10^1,10^2……,请自行添加上乘方符合“^”!
101+1 = 11 = 11(100.00%)
102+1 = 101 = 101(100.00%)
103+1 = 1001 = 7 × 11 × 13(100.00%)
104+1 = 10001 = 73 × 137(100.00%)
105+1 = 100001 = 11 × 9091(100.00%)
106+1 = 1000001 = 101 × 9901(100.00%)
107+1 = 10000001 = 11 × 909091(100.00%)
108+1 = 100000001 = 17 × 5882353(100.00%)
109+1 = 1000000001<10> = 7 × 11 × 13 × 19 × 52579(100.00%)
1010+1 = 10000000001<11> = 101 × 3541 × 27961(100.00%)
1011+1 = 100000000001<12> = 112 × 23 × 4093 × 8779(100.00%)
1012+1 = 1000000000001<13> = 73 × 137 × 99990001(100.00%)
1013+1 = 10000000000001<14> = 11 × 859 × 1058313049<10>(100.00%)
1014+1 = 100000000000001<15> = 29 × 101 × 281 × 121499449(100.00%)
1015+1 = 1000000000000001<16> = 7 × 11 × 13 × 211 × 241 × 2161 × 9091(100.00%)
1016+1 = 10000000000000001<17> = 353 × 449 × 641 × 1409 × 69857(100.00%)
1017+1 = 100000000000000001<18> = 11 × 103 × 4013 × 21993833369<11>(100.00%)
1018+1 = 1000000000000000001<19> = 101 × 9901 × 999999000001<12>(100.00%)
1019+1 = 10000000000000000001<20> = 11 × 909090909090909091<18>(100.00%)
1020+1 = 100000000000000000001<21> = 73 × 137 × 1676321 × 5964848081<10>(100.00%)
1021+1 = 1000000000000000000001<22> = 72 × 11 × 13 × 127 × 2689 × 459691 × 909091(100.00%)
1022+1 = 10000000000000000000001<23> = 89 × 101 × 1052788969<10> × 1056689261<10>(100.00%)
1023+1 = 100000000000000000000001<24> = 11 × 47 × 139 × 2531 × 549797184491917<15>(100.00%)
1024+1 = 1000000000000000000000001<25> = 17 × 5882353 × 9999999900000001<16>(100.00%)
1025+1 = 10000000000000000000000001<26> = 11 × 251 × 5051 × 9091 × 78875943472201<14>(100.00%)
1026+1 = 100000000000000000000000001<27> = 101 × 521 × 1900381976777332243781<22>(100.00%)
1027+1 = 1000000000000000000000000001<28> = 7 × 11 × 13 × 19 × 52579 × 70541929 × 14175966169<11>(100.00%)
1028+1 = 10000000000000000000000000001<29> = 73 × 137 × 7841 × 127522001020150503761<21>(100.00%)
1029+1 = 100000000000000000000000000001<30> = 11 × 59 × 154083204930662557781201849<27>(100.00%)
1030+1 = 1000000000000000000000000000001<31> = 61 × 101 × 3541 × 9901 × 27961 × 4188901 × 39526741(100.00%)
1031+1 = 10000000000000000000000000000001<32> = 11 × 909090909090909090909090909091<30>(100.00%)
1032+1 = 100000000000000000000000000000001<33> = 19841 × 976193 × 6187457 × 834427406578561<15>(100.00%)
1033+1 = 1000000000000000000000000000000001<34> = 7 × 112 × 13 × 23 × 4093 × 8779 × 599144041 × 183411838171<12>(100.00%)
1034+1 = 10000000000000000000000000000000001<35> = 101 × 28559389 × 1491383821<10> × 2324557465671829<16>(100.00%)
1035+1 = 100000000000000000000000000000000001<36> = 11 × 9091 × 909091 × 4147571 × 265212793249617641<18>(100.00%)
1036+1 = 1000000000000000000000000000000000001<37> = 73 × 137 × 3169 × 98641 × 99990001 × 3199044596370769<16>(100.00%)
1037+1 = 10000000000000000000000000000000000001<38> = 11 × 7253 × 422650073734453<15> × 296557347313446299<18>(100.00%)
1038+1 = 100000000000000000000000000000000000001<39> = 101 × 722817036322379041<18> × 1369778187490592461<19>(100.00%)
1039+1 = 1000000000000000000000000000000000000001<40> = 7 × 11 × 132 × 157 × 859 × 6397 × 216451 × 1058313049<10> × 388847808493<12>(100.00%)
1040+1 = 10000000000000000000000000000000000000001<41> = 17 × 5070721 × 5882353 × 19721061166646717498359681<26>(100.00%)
1041+1 = 100000000000000000000000000000000000000001<42> = 11 × 2670502781396266997<19> × 3404193829806058997303<22>(100.00%)
1042+1 = 1000000000000000000000000000000000000000001<43> = 29 × 101 × 281 × 9901 × 226549 × 121499449 × 4458192223320340849<19>(100.00%)
1043+1 = 10000000000000000000000000000000000000000001<44> = 11 × 57009401 × 2182600451<10> × 7306116556571817748755241<25>(100.00%)
1044+1 = 100000000000000000000000000000000000000000001<45> = 73 × 137 × 617 × 16205834846012967584927082656402106953<38>(100.00%)
1045+1 = 1000000000000000000000000000000000000000000001<46> = 7 × 11 × 13 × 19 × 211 × 241 × 2161 × 9091 × 29611 × 52579 × 3762091 × 8985695684401<13>(100.00%)
1046+1 = 10000000000000000000000000000000000000000000001<47> = 101 × 1289 × 18371524594609<14> × 4181003300071669867932658901<28>(100.00%)
1047+1 = 100000000000000000000000000000000000000000000001<48> = 11 × 6299 × 4855067598095567<16> × 297262705009139006771611927<27>(100.00%)
1048+1 = 1000000000000000000000000000000000000000000000001<49> = 97 × 353 × 449 × 641 × 1409 × 69857 × 206209 × 66554101249<11> × 75118313082913<14>(100.00%)
1049+1 = 10000000000000000000000000000000000000000000000001<50> = 11 × 197 × 909091 × 5076141624365532994918781726395939035533<40>(100.00%)
1050+1 = 100000000000000000000000000000000000000000000000001<51> = 101 × 3541 × 27961 × 60101 × 7019801 × 14103673319201<14> × 1680588011350901<16>(100.00%)
1051+1 = 1000000000000000000000000000000000000000000000000001<52> = 7 × 11 × 13 × 103 × 4013 × 21993833369<11> × 291078844423<12> × 377526955309799110357<21>(100.00%)
1052+1 = 10000000000000000000000000000000000000000000000000001<53> = 73 × 137 × 1580801 × 632527440202150745090622412245443923049201<42>(100.00%)
1053+1 = 100000000000000000000000000000000000000000000000000001<54> = 11 × 9090909090909090909090909090909090909090909090909091<52>(100.00%)
1054+1 = 1000000000000000000000000000000000000000000000000000001<55> = 101 × 109 × 9901 × 153469 × 999999000001<12> × 59779577156334533866654838281<29>(100.00%)
1055+1 = 10000000000000000000000000000000000000000000000000000001<56> = 112 × 23 × 331 × 4093 × 5171 × 8779 × 9091 × 20163494891<11> × 318727841165674579776721<24>(100.00%)
1056+1 = 100000000000000000000000000000000000000000000000000000001<57> = 17 × 113 × 5882353 × 73765755896403138401<20> × 119968369144846370226083377<27>(100.00%)
1057+1 = 1000000000000000000000000000000000000000000000000000000001<58> = 7 × 11 × 13 × 1458973 × 909090909090909091<18> × 753201806271328462547977919407<30>(100.00%)
1058+1 = 10000000000000000000000000000000000000000000000000000000001<59> = 101 × 349 × 38861 × 618049 × 11811806375201836408679635736258669583187541<44>(100.00%)
1059+1 = 100000000000000000000000000000000000000000000000000000000001<60> = 11 × 1889 × 1090805842068098677837<22> × 4411922770996074109644535362851087<34>(100.00%)
1060+1 = 1000000000000000000000000000000000000000000000000000000000001<61> = 73 × 137 × 1676321 × 99990001 × 5964848081<10> × 100009999999899989999000000010001<33>(100.00%)
1061+1 = 10000000000000000000000000000000000000000000000000000000000001<62> = 11 × 81131 × 11205222530116836855321528257890437575145023592596037161<56>(100.00%)
1062+1 = 100000000000000000000000000000000000000000000000000000000000001<63> = 101 × 2049349 × 483128549554512237305554588359039822397307149685578249<54>(100.00%)
1063+1 = 1000000000000000000000000000000000000000000000000000000000000001<64> = 72 × 11 × 13 × 19 × 127 × 2689 × 52579 × 459691 × 909091 × 5274739 × 189772422673235585874485732659<30>(100.00%)
1064+1 = 10000000000000000000000000000000000000000000000000000000000000001<65> = 1265011073<10> × 15343168188889137818369<23> × 515217525265213267447869906815873<33>(100.00%)
1065+1 = 100000000000000000000000000000000000000000000000000000000000000001<66> = 11 × 131 × 859 × 9091 × 1058313049<10> × 8396862596258693901610602298557167100076327481<46>(100.00%)
1066+1 = 1000000000000000000000000000000000000000000000000000000000000000001<67> = 89 × 101 × 9901 × 1052788969<10> × 1056689261<10> × 5419170769<10> × 789390798020221<15> × 2361000305507449<16>(100.00%)
1067+1 = 10000000000000000000000000000000000000000000000000000000000000000001<68> = 11 × 909090909090909090909090909090909090909090909090909090909090909091<66>(100.00%)
1068+1 = 100000000000000000000000000000000000000000000000000000000000000000001<69> = 73 × 137 × 152533657 × 65552746171882583264230070868884366877803237222654400793<56>(100.00%)
1069+1 = 1000000000000000000000000000000000000000000000000000000000000000000001<70> = 7 × 11 × 13 × 47 × 139 × 2531 × 31051 × 143574021480139<15> × 549797184491917<15> × 24649445347649059192745899<26>(100.00%)
1070+1 = 10000000000000000000000000000000000000000000000000000000000000000000001<71> = 29 × 101 × 281 × 421 × 3541 × 27961 × 3471301 × 13489841 × 121499449 × 60368344121<11> × 848654483879497562821<21>(100.00%)
1071+1 = 100000000000000000000000000000000000000000000000000000000000000000000001<72> = 11 × 290249 × 31321069464181068355415209323405389541706979493156189716729115659<65>(100.00%)
1072+1 = 1000000000000000000000000000000000000000000000000000000000000000000000001<73> = 17 × 8929 × 5882353 × 9999999900000001<16> × 111994624258035614290513943330720125433979169<45>(100.00%)
1073+1 = 10000000000000000000000000000000000000000000000000000000000000000000000001<74> = 11 × 293 × 10826684964539959837294043117<29> × 286578888976194997999922592330908602103011<42>(100.00%)
1074+1 = 100000000000000000000000000000000000000000000000000000000000000000000000001<75> = 101 × 149 × 3109 × 111149 × 708840373781<12> × 669031686661427842829<21> × 40548140514062774758071840361<29>(100.00%)
1075+1 = 1000000000000000000000000000000000000000000000000000000000000000000000000001<76> = 7 × 11 × 13 × 211 × 241 × 251 × 2161 × 5051 × 9091 × 78875943472201<14> × 10000099999999989999899999000000000100001<41>(100.00%)
1076+1 = 10000000000000000000000000000000000000000000000000000000000000000000000000001<77> = 73 × 137 × 457 × 1403417 × 5240808656722481737<19> × 297478330786365628414805305290302483555043017<45>(100.00%)
1077+1 = 100000000000000000000000000000000000000000000000000000000000000000000000000001<78> = 112 × 23 × 463 × 4093 × 8779 × 24179 × 590437 × 909091 × 7444361 × 4539402627853030477<19> × 4924630160315726207887<22>(100.00%)
1078+1 = 1000000000000000000000000000000000000000000000000000000000000000000000000000001<79> = 101 × 521 × 3121 × 9901 × 53397071018461<14> × 1900381976777332243781<22> × 6060517860310398033985611921721<31>(100.00%)
1079+1 = 10000000000000000000000000000000000000000000000000000000000000000000000000000001<80> = 11 × 1423 × 9615060929<10> × 66443174541490579097997510158021076958392938976011506949065646573<65>(100.00%)
1080+1 = 100000000000000000000000000000000000000000000000000000000000000000000000000000001<81> = 353 × 449 × 641 × 1409 × 69857 × 1634881 × 18453761 × 947147262401<12> × 349954396040122577928041596214187605761<39>(100.00%)
1081+1 = 1000000000000000000000000000000000000000000000000000000000000000000000000000000001<82> = 7 × 11 × 13 × 19 × 1459 × 52579 × 70541929 × 2458921051<10> × 14175966169<11> × 456502382570032651<18> × 610600386089858349939139<24>(100.00%)
1082+1 = 10000000000000000000000000000000000000000000000000000000000000000000000000000000001<83> = 101 × 68389 × 1447745997018511893740076606031686237538345362413531560645573104006506749609<76>(100.00%)
1083+1 = 100000000000000000000000000000000000000000000000000000000000000000000000000000000001<84> = 11 × 167 × 997 × 3565183 × 2097307081<10> × 7742098247001476863<19> × 943176903141330068482602900960294299878841<42>(100.00%)
1084+1 = 1000000000000000000000000000000000000000000000000000000000000000000000000000000000001<85> = 73 × 137 × 7841 × 99990001 × 11189053009<11> × 603812429055411913<18> × 127522001020150503761<21> × 148029423400750506553<21>(100.00%)
1085+1 = 10000000000000000000000000000000000000000000000000000000000000000000000000000000000001<86> = 11 × 103 × 4013 × 9091 × 87211 × 787223761 × 21993833369<11> × 160220794821014452066741918303580917664386555934641<51>(100.00%)
1086+1 = 100000000000000000000000000000000000000000000000000000000000000000000000000000000000001<87> = 101 × 338669 × 2923500556298303355222653948542706598448925085853709961673200056984872843366529<79>(100.00%)
1087+1 = 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<88> = 7 × 11 × 13 × 59 × 638453709757<12> × 135080726389891<15> × 154083204930662557781201849<27> × 1274194732898148471766404179653<31>(100.00%)
1088+1 = 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<89> = 17 × 5882353 × 10100113 × 9900879227786858424257223656804730798555422102713108259184822982673560177<73>(100.00%)
1089+1 = 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<90> = 11 × 179 × 12147237304901893<17> × 4180967272673252032291190917188955510245874180001164839931077197586653<70>(100.00%)
1090+1 = 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<91> = 61 × 101 × 181 × 3541 × 9901 × 27961 × 4188901 × 39526741 × 999999000001<12> × 4999437541453012143121<22> × 1105097795002994798105101<25>(100.00%)
1091+1 = 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<92> = 11 × 859 × 909091 × 21705503 × 1058313049<10> × 50678387411703889101759125785290439894389920385627096501794498837<65>(100.00%)
1092+1 = 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<93> = 73 × 137 × 2393 × 4178437150016715837818641871709193476807772628503969494400330129962348520684914375257<85>(100.00%)
1093+1 = 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<94> = 7 × 11 × 13 × 373 × 44641 × 3590254957<10> × 909090909090909090909090909091<30> × 18381907262281244633158190677786966663091011<44>(100.00%)
1094+1 = 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<95> = 101 × 45121 × 2144906157509411684424913774078958939881<40> × 1023037643093214557651333120422980213172396059301<49>(100.00%)
1095+1 = 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<96> = 11 × 9091 × 1812604116731<13> × 121450506296081<15> × 909090909090909091<18> × 4996731930447843676185843959746621491531100801<46>(100.00%)
1096+1 = 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<97> = 193 × 769 × 19841 × 976193 × 6187457 × 834427406578561<15> × 1253224535459902849<19> × 53763491189967221358575546107279034709697<41>(100.00%)
1097+1 = 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<98> = 11 × 102527361354613106010527<24> × 323338434891034089173475790125293<33> × 27422699366054621683295623079471066588881<41>(100.00%)
1098+1 = 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<99> = 29 × 101 × 281 × 121499449 × 999999999999990000000000000099999999999999000000000000009999999999999900000000000001<84>(100.00%)
1099+1 = 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<100> = 7 × 112 × 13 × 19 × 23 × 4093 × 8779 × 52579 × 599144041 × 7093127053<10> × 183411838171<12> × 141122524877886182282233539317796144938305111168717<51>(100.00%)
10100+1 = 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<101> = 73 × 137 × 401 × 1201 × 1601 × 1676321 × 5964848081<10> × 129694419029057750551385771184564274499075700947656757821537291527196801<72>(100.00%)
 楼主| 发表于 2021-3-9 07:56 | 显示全部楼层
本帖最后由 yangchuanju 于 2021-3-9 08:03 编辑

各段(行)开头的10101,100102……为10^101,10^102……,请自行添加上乘方符合“^”!
10101+1 = 1000000000...<102> = 11 × 607 × 809 × 1213 × 1327067281<10> × 11500490394117824585468796003575163076836624586334794818271756072956027758946488969<83>(100.00%)
10102+1 = 1000000000...<103> = 101 × 409 × 3061 × 9901 × 5969449 × 28559389 × 134703241 × 1491383821<10> × 225974065503889<15> × 2324557465671829<16> × 44398000479007997569751764249<29>(100.00%)
10103+1 = 1000000000...<104> = 11 × 1237 × 44092859 × 102860539 × 984385009 × 612053256358933<15> × 182725114866521155647161<24> × 1471865453993855302660887614137521979<37>(100.00%)
10104+1 = 1000000000...<105> = 17 × 1249 × 49297 × 300977 × 648961 × 5882353 × 249227787818677482257<21> × 333632766438409011274705987026407639670042305536743429073<57>(100.00%)
10105+1 = 1000000000...<106> = 72 × 11 × 13 × 127 × 211 × 241 × 2161 × 2689 × 9091 × 459691 × 909091 × 4147571 × 29970369241<11> × 1661378260814161<16> × 265212793249617641<18> × 18276168846821336356291<23>(100.00%)
10106+1 = 1000000000...<107> = 101 × 1061 × 5051749 × 245391150214875249502685807421982149521<39> × 75277048352808729626679875852901448034540173569840168229<56>(100.00%)
10107+1 = 1000000000...<108> = 11 × 1499 × 28463 × 74687 × 392263 × 795653 × 9140689231828972552925524522037823147045937571379494322686226282352288670801988451<82>(100.00%)
10108+1 = 1000000000...<109> = 73 × 137 × 3169 × 98641 × 99990001 × 3199044596370769<16> × 1726290008991504500177463302688697<34> × 579276943498154282123686999881829009033<39>(100.00%)
10109+1 = 1000000000...<110> = 11 × 3338786746233023<16> × 14060959683864286267405933000927102019<38> × 19364383321148719295180578853325741855858987848620134943<56>(100.00%)
10110+1 = 1000000000...<111> = 89 × 101 × 661 × 3541 × 18041 × 27961 × 148721 × 1052788969<10> × 1056689261<10> × 1121407321<10> × 1395900370916327245555441901<28> × 36380545029953205956377406702261<32>(100.00%)
10111+1 = 1000000000...<112> = 7 × 11 × 13 × 223 × 4663 × 7253 × 422650073734453<15> × 296557347313446299<18> × 21606064498691505246200058094681<32> × 48911689110891303706174193415115219<35>(100.00%)
10112+1 = 1000000000...<113> = 353 × 449 × 641 × 673 × 1409 × 69857 × 43735845217<11> × 217860610452031121598489279950204653537<39> × 155944009296214054100626916003794407157304353<45>(100.00%)
10113+1 = 1000000000...<114> = 11 × 4973 × 4426889 × 412943108813978385999641617982242667485519119709940711942693553709517240114281629255685010553886849303<102>(100.00%)
10114+1 = 1000000000...<115> = 101 × 229 × 2281 × 4789 × 9901 × 304077901 × 52875286008709<14> × 722817036322379041<18> × 739653893349540289<18> × 1369778187490592461<19> × 33950736420661075851541<23>(100.00%)
10115+1 = 1000000000...<116> = 11 × 47 × 139 × 691 × 2531 × 9091 × 549797184491917<15> × 15918798843849477568899983937931966555877132981347465830696251648192619376266439940521<86>(100.00%)
10116+1 = 1000000000...<117> = 73 × 137 × 233 × 355193 × 21591416633<11> × 17468739848498438039329935679794457<35> × 320326994163169943384295066992439316655840979654890345228609<60>(100.00%)
10117+1 = 1000000000...<118> = 7 × 11 × 132 × 19 × 157 × 859 × 6397 × 52579 × 216451 × 461917 × 60034573 × 1058313049<10> × 388847808493<12> × 36096800156828895568286578224818258719817914995401933354161<59>(100.00%)
10118+1 = 1000000000...<119> = 101 × 430148941 × 230175856669373992253976277974612031182496625023886807386072581333871027940087154579555293851089822885094561<108>(100.00%)
10119+1 = 1000000000...<120> = 11 × 103 × 4013 × 909091 × 1868879293<10> × 21993833369<11> × 5673320472670315859129<22> × 103746647830421551242486430622636901002236971549990724717454338463<66>(100.00%)
10120+1 = 1000000000...<121> = 17 × 5070721 × 5882353 × 1132716961<10> × 9999999900000001<16> × 19721061166646717498359681<26> × 281259985248437790051014401<27> × 31388506438433752927908678241<29>(100.00%)
10121+1 = 1000000000...<122> = 113 × 23 × 4093 × 4357 × 8779 × 25169 × 1485397 × 102502981431359171598893<24> × 544471001372579296332291652675646774644208265246405598834086237345292487<72>(100.00%)
10122+1 = 1000000000...<123> = 101 × 1587221 × 81183810541<11> × 101444162656037151745878558385892753596849<42> × 75743388768260974116327848920184337528059461788181539337429709<62>(100.00%)
10123+1 = 1000000000...<124> = 7 × 11 × 13 × 739 × 148339 × 16419517 × 2670502781396266997<19> × 3404193829806058997303<22> × 61051796035522969271171274876554178504544683763248923853725596423<65>(100.00%)
10124+1 = 1000000000...<125> = 73 × 137 × 1489 × 640543322297<12> × 27908132670449<14> × 384705444182230291105649<24> × 97645954668018846467287180866355758374263120864803042536883990817097<68>(100.00%)
10125+1 = 1000000000...<126> = 11 × 251 × 5051 × 9091 × 21001 × 162251 × 10893295001<11> × 78875943472201<14> × 269409792871731627664586194662281233853701011108906726055753272681082282441709251<81>(100.00%)
10126+1 = 1000000000...<127> = 29 × 101 × 281 × 1009 × 9901 × 226549 × 121499449 × 43266855241<11> × 999999000001<12> × 4458192223320340849<19> × 22906246896437231227899575633620139766044690040039603689929<59>(100.00%)
10127+1 = 1000000000...<128> = 11 × 3557 × 857772733 × 1094479651<10> × 1125629957<10> × 616896149073719728613<21> × 10860110813777339731289<23> × 36099531273603138218699301565567581705151216702113889<53>(100.00%)
10128+1 = 1000000000...<129> = 257 × 15361 × 453377 × 55871187633753621225794775009016131346430842253464047463157158784732544216230781165223702155223678309562822667655169<116>(100.00%)
10129+1 = 1000000000...<130> = 7 × 11 × 13 × 57009401 × 2182600451<10> × 7306116556571817748755241<25> × 304768036847074491064894608014695867632997<42> × 3605696680890791382725432167911038465896663<43>(100.00%)
10130+1 = 1000000000...<131> = 101 × 521 × 3541 × 27961 × 2311921 × 1031498834064949381<19> × 12763852652999774041<20> × 1900381976777332243781<22> × 12119730504567977254081<23> × 2737820036624672031089487008281<31>(100.00%)
10131+1 = 1000000000...<132> = 11 × 263 × 1397382241<10> × 306662501757259<15> × 525786373041914526306757<24> × 112506283680098168752627601991569<33> × 1363608083180796048411168783196497071688492468691<49>(100.00%)
10132+1 = 1000000000...<133> = 73 × 137 × 617 × 2377 × 16369 × 432961 × 99990001 × 6796152793<10> × 24387741577<11> × 126197002179733470481<21> × 283830826522232279893972777<27> × 16205834846012967584927082656402106953<38>(100.00%)
10133+1 = 1000000000...<134> = 11 × 909091 × 909090909090909091<18> × 247025236977306025681323889<27> × 61828645758322140842666144519962696417487<41> × 72021403933746126426491665754465510017877<41>(100.00%)
10134+1 = 1000000000...<135> = 101 × 269 × 4021 × 260587121 × 94927228208573594069<20> × 2302527353565357450759725122262880394277261<43> × 16071030565277594576986582552521799177065559188277159741<56>(100.00%)
10135+1 = 1000000000...<136> = 7 × 11 × 13 × 19 × 211 × 241 × 2161 × 6481 × 9091 × 29611 × 52579 × 3762091 × 70541929 × 14175966169<11> × 577603663291<12> × 8985695684401<13> × 31023833790241<14> × 8610583349234340055547908764091017276717091<43>(100.00%)
10136+1 = 1000000000...<137> = 172 × 5882353 × 13355595217<11> × 440441087557478776852171834625638618412949059374084837579531425633661269203803741415744566525108430933975383194546209<117>(100.00%)
10137+1 = 1000000000...<138> = 11 × 364393423 × 117651465889<12> × 441651480271681<15> × 676321006412903<15> × 218801242136856556680173235529<30> × 3244569580634956101009646791013296826459859399717968478099<58>(100.00%)
10138+1 = 1000000000...<139> = 101 × 829 × 1289 × 9901 × 1569889 × 18371524594609<14> × 536430531035337769<18> × 757108543129939106221<21> × 4181003300071669867932658901<28> × 19108466176791400681292709171992566565029<41>(100.00%)
10139+1 = 1000000000...<140> = 11 × 557 × 2503 × 652065570931334169846518762110895357104035953330623783530923329412897765703841859492780362601926814638167836591846272150911969126521<132>(100.00%)
10140+1 = 1000000000...<141> = 73 × 137 × 7841 × 851761 × 1676321 × 5964848081<10> × 127522001020150503761<21> × 1174155661036370531158387153086358732085761158354280249987966107746175275693416345665039841<91>(100.00%)
10141+1 = 1000000000...<142> = 7 × 11 × 13 × 6299 × 344887 × 9127213 × 4855067598095567<16> × 1160803383934463712259<22> × 297262705009139006771611927<27> × 30073566270559048948142559741512708796590524703892560552659<59>(100.00%)
10142+1 = 1000000000...<143> = 101 × 569 × 7669 × 380623849488714809<18> × 7716926518833508778689508504941<31> × 93611382287513950329431625811490669<35> × 82519882659061966708762483486719446639288430446081<50>(100.00%)
10143+1 = 1000000000...<144> = 112 × 23 × 859 × 4093 × 8779 × 51767 × 1058313049<10> × 22144088539<11> × 264752347289<12> × 104730101107272149081<21> × 34607524609209512562213651270561528862879196390936320471942325254862879783<74>(100.00%)
10144+1 = 1000000000...<145> = 97 × 353 × 449 × 641 × 1409 × 13249 × 69857 × 206209 × 1067329 × 66554101249<11> × 75118313082913<14> × 70716147055257711374123575798428608590219877617672752248112085912824160137075376116481<86>(100.00%)
10145+1 = 1000000000...<146> = 11 × 59 × 1451 × 9091 × 30104611 × 58765601 × 2433146345771<13> × 17996132431060961<17> × 154083204930662557781201849<27> × 97862727665480231246011008935563207741144491224418517422691228321<65>(100.00%)
10146+1 = 1000000000...<147> = 101 × 5911541 × 16692085818029<14> × 5774294197526381<16> × 182202742802607835615596881<27> × 9537037576103752545861071409967321761728999089417907986752766348817191016093460769<82>(100.00%)
10147+1 = 1000000000...<148> = 73 × 11 × 13 × 127 × 197 × 2689 × 459691 × 909091 × 5076141624365532994918781726395939035533<40> × 142857157142857142856999999985714285714285857142857142855714285571428571428572857143<84>(100.00%)
10148+1 = 1000000000...<149> = 73 × 137 × 61544617 × 16444765848115921<17> × 987958734776503660730847298429926744644928427487850380038560428638070909650210480224210297181360032908354907525523774393<120>(100.00%)
10149+1 = 1000000000...<150> = 11 × 2087 × 9615683031450065714899<22> × 165459609176797865866134365329792270635207840943<48> × 2737869430252705432917439814481839640694075521336313521691938014929169431049<76>(100.00%)
10150+1 = 1000000000...<151> = 61 × 101 × 601 × 3541 × 9901 × 27961 × 60101 × 261301 × 3903901 × 4188901 × 7019801 × 39526741 × 168290119201<12> × 14103673319201<14> × 1680588011350901<16> × 25074091038628125301<20> × 38654658795718156456729958859629701<35>(100.00%)
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 楼主| 发表于 2021-3-9 07:57 | 显示全部楼层
本帖最后由 yangchuanju 于 2021-3-9 08:04 编辑

各段(行)开头的10151,100152……为10^151,10^152……,请自行添加上乘方符合“^”!
10151+1 = 1000000000...<152> = 11 × 181288487 × 153653579173<12> × 12331942624071394811<20> × 2646756758131654397378192081701748003041997<43> × 999882306178377345161889846655198592766347086896770989636138585751423<69>(100.00%)
10152+1 = 1000000000...<153> = 17 × 134369 × 5882353 × 31735795756961<14> × 234504682039452385472228601837391217101263308508305719138749905156540866534427238711769806579683320997636600725852987602204289<126>(100.00%)
10153+1 = 1000000000...<154> = 7 × 11 × 13 × 19 × 103 × 4013 × 52579 × 2142001 × 5364487 × 832339891 × 21993833369<11> × 276402747619<12> × 291078844423<12> × 2405782797823<13> × 377526955309799110357<21> × 157393477257579000092993572752789683416120273639369<51>(100.00%)
10154+1 = 1000000000...<155> = 29 × 89 × 101 × 281 × 121499449 × 1052788969<10> × 1056689261<10> × 39511854229<11> × 25561948931738399180959860493035633005346674997219855227412314112685523898853595360610683149167147379131162769<110>(100.00%)
10155+1 = 1000000000...<156> = 11 × 9091 × 11161 × 3925963357681<13> × 5167617497664851<16> × 909090909090909090909090909091<30> × 4857900688365130469291831549890842547443917376935406225054646143856579892970236911030721<88>(100.00%)
10156+1 = 1000000000...<157> = 73 × 137 × 313 × 1101673 × 1580801 × 99990001 × 1358074433371719716641<22> × 291593563046646669491593<24> × 632527440202150745090622412245443923049201<42> × 7323941687838105624847742701467683590147273<43>(100.00%)
10157+1 = 1000000000...<158> = 11 × 4397 × 3641773 × 56772494575417679209143612613936371702842084190817259161711159777577563483338093894447335028905724214106839545113870547643014663862360146330362411<146>(100.00%)
10158+1 = 1000000000...<159> = 101 × 5689 × 507998564486483655774880939989709<33> × 646301962916453492325383567253991760083617720844121<51> × 530084044837791203267418958734478905892862260111193658629289735929681<69>(100.00%)
10159+1 = 1000000000...<160> = 7 × 11 × 13 × 3499 × 2784091 × 54137839415767<14> × 917813298871770308465539<24> × 26526333976234009593263527<26> × 8558521377558885170560719135529<31> × 9090909090909090909090909090909090909090909090909091<52>(100.00%)
10160+1 = 1000000000...<161> = 19841 × 976193 × 6187457 × 834427406578561<15> × 99999999999999999999999999999999000000000000000000000000000000009999999999999999999999999999999900000000000000000000000000000001<128>(100.00%)
10161+1 = 1000000000...<162> = 11 × 47 × 139 × 967 × 2531 × 909091 × 1569936761<10> × 549797184491917<15> × 1203881882727712699967<22> × 23391028206417273637358380573<29> × 7775058388319250595762800404689<31> × 3309383964775818489317002654646529291847<40>(100.00%)
10162+1 = 1000000000...<163> = 101 × 109 × 9901 × 153469 × 2925721 × 999999000001<12> × 59779577156334533866654838281<29> × 341796090604674881849636380229010216626944264336893367139245334739710314141368913850637159182300704681<102>(100.00%)
10163+1 = 1000000000...<164> = 11 × 653 × 13693 × 14286890032106357<17> × 66953479943839030979655991920753816099754871899<47> × 106288106156544189601112452124463274118441603168767263777500290285464677481570934480831778653<93>(100.00%)
10164+1 = 1000000000...<165> = 73 × 137 × 121553521 × 36637591407529194237097<23> × 2245236606248397162554620353530247131809555439174332456262048578539955402631665831489925370072038825037489223972536291929859656473<130>(100.00%)
10165+1 = 1000000000...<166> = 7 × 112 × 13 × 23 × 211 × 241 × 331 × 2161 × 4093 × 5171 × 8779 × 9091 × 599144041 × 4124507971<10> × 20163494891<11> × 183411838171<12> × 318727841165674579776721<24> × 19835636682880495867311241<26> × 1112314101311286003379752617807870409611285281<46>(100.00%)
10166+1 = 1000000000...<167> = 101 × 23023967955265160767768376873521136169786061<44> × 4300297028838474156015268798064619519844286165272568941158694953418333634388515222398381949374346543672407516659353137441<121>(100.00%)
10167+1 = 1000000000...<168> = 11 × 63716179 × 116011189311149998139<21> × 272828068791212993437<21> × 301525294918950432087520298129941558711551656822567015411<57> × 14950128044255312629457887411604300692966728690551568705030373<62>(100.00%)
10168+1 = 1000000000...<169> = 17 × 113 × 337 × 5882353 × 9999999900000001<16> × 73765755896403138401<20> × 119968369144846370226083377<27> × 2070270028985341766616009080161<31> × 1433319827159466789806966856379479179916136529424792832495021393<64>(100.00%)
10169+1 = 1000000000...<170> = 11 × 677 × 859 × 987001237 × 1058313049<10> × 1592730232155679902273246343099578009020762979379345291<55> × 939618179300167110691422839525295363729230399945945616908880764779647712170590547747265739<90>(100.00%)
10170+1 = 1000000000...<171> = 101 × 3541 × 26861 × 27961 × 28559389 × 1491383821<10> × 7568346838961<13> × 2324557465671829<16> × 237612993541791006121<21> × 1988731184935761442996825520561<31> × 1051361091529803074497312148085134194834726090632313891925201<61>(100.00%)
10171+1 = 1000000000...<172> = 7 × 11 × 13 × 192 × 2053 × 52579 × 1458973 × 4410785971<10> × 2911579215499<13> × 909090909090909091<18> × 307010852070382484317401373<27> × 753201806271328462547977919407<30> × 6508684267533856834852965580950145565983063793936631379<55>(100.00%)
10172+1 = 1000000000...<173> = 73 × 137 × 277641151780258438310079109077611969<36> × 2645778409917434965592366282025495569<37> × 38993135849791157061060738352944105076217<41> × 34908493290773859017057784025792153817150916131843303273<56>(100.00%)
10173+1 = 1000000000...<174> = 11 × 9689 × 16864733 × 55635102055543836835465457049148501469803488052399095459738250346232835862545261814302848982434784577390375138359139691388144380289619426750242614561569128075543<161>(100.00%)
10174+1 = 1000000000...<175> = 101 × 349 × 9901 × 38861 × 618049 × 997369 × 15565833747318241<17> × 157002934023127338801841<24> × 4477350074169470752905544969081<31> × 925473240150495502771483432977308389<36> × 11811806375201836408679635736258669583187541<44>(100.00%)
10175+1 = 1000000000...<176> = 11 × 251 × 5051 × 9091 × 909091 × 4147571 × 3612546001<10> × 299547376801<12> × 78875943472201<14> × 265212793249617641<18> × 924113758530847383764787530400912659976463549693743820952869672176334445090649182638712486115217201<99>(100.00%)
10176+1 = 1000000000...<177> = 353 × 449 × 641 × 1409 × 11969 × 69857 × 4913921 × 470909313601<12> × 361057759540097288072937247979725352972055181853408265699800478521559326591153094457376181755912540092512773699689532234798987224827675649<138>(100.00%)
10177+1 = 1000000000...<178> = 7 × 11 × 13 × 1889 × 60247408327<11> × 968385024074451409<18> × 2676157881043509853<19> × 1090805842068098677837<22> × 3203031926532314264104769060847481<34> × 4411922770996074109644535362851087<34> × 219734968010040680865912320713950289<36>(100.00%)
10178+1 = 1000000000...<179> = 101 × 38449 × 138841 × 18547092770394661955046893866403953444141877738854819606028843831344546174591125346548473015452312338456023705554686130669604243301021812682716262365263155956618360389<167>(100.00%)
10179+1 = 1000000000...<180> = 11 × 523661705392754764972834211810001059<36> × 17360270948380236765442123580448180934246742941840774929827069381097446101825710313953633305039247538221205037054245870292654737645806593390849<143>(100.00%)
10180+1 = 1000000000...<181> = 73 × 137 × 3169 × 98641 × 1676321 × 99990001 × 265183201 × 5964848081<10> × 3199044596370769<16> × 100009999999899989999000000010001<33> × 95853807664312827399794371014650641<35> × 39340929985040037939860550511566010202173435808159761<53>(100.00%)
10181+1 = 1000000000...<182> = 11 × 13757 × 1467439874822650361<19> × 57813769227978665304109403799291636496876923883191635824278127299864929561<74> × 778918424933155393480511088578762495409547716376329687166271120021739022042090054703<84>(100.00%)
10182+1 = 1000000000...<183> = 29 × 101 × 281 × 521 × 121499449 × 654721485601<12> × 1900381976777332243781<22> × 3571618567996393297210217238290456648947344377957590363519828421<64> × 431916413820617754546053476804635449461410533962843828981966782964481<69>(100.00%)
10183+1 = 1000000000...<184> = 7 × 11 × 13 × 367 × 81131 × 51745081 × 40498340376691<14> × 42936744040512685057308971520417028077990465463<47> × 33277993916065498965234812212436587255656671587921<50> × 11205222530116836855321528257890437575145023592596037161<56>(100.00%)
10184+1 = 1000000000...<185> = 17 × 5882353 × 120553054891405588545727822543281066162803459003848166118314367809<66> × 829510285658710111215121966308351445187741335558528775675039806142270659943202818322753067885238020768017585089<111>(100.00%)
10185+1 = 1000000000...<186> = 11 × 7253 × 9091 × 422650073734453<15> × 49173925574833481<17> × 296557347313446299<18> × 22369355044392829576198363935261212146051995578845131526611800779453430519897692892453842577603840415445414697342892679968594131<128>(100.00%)
10186+1 = 1000000000...<187> = 101 × 5209 × 9901 × 2049349 × 139716865184144864008269344660199946429<39> × 483128549554512237305554588359039822397307149685578249<54> × 1387770812537486172424567765413032718466560432631753219117445147282909788805041<79>(100.00%)
10187+1 = 1000000000...<188> = 112 × 23 × 103 × 4013 × 4093 × 8779 × 192611 × 21993833369<11> × 1284680342573<13> × 6315203673292075607<19> × 125797399492676917721<21> × 55957395872359820769658435528889482277826574998014018514928782197341726428854387236670658714503098749571<104>(100.00%)
10188+1 = 1000000000...<189> = 73 × 137 × 70313 × 79337 × 485041 × 118710721 × 6578404633<10> × 169905327561162104198557246291921<33> × 27851538931791182813585932285490596820623900747164894668499167046712090201879423948069199442816537475115348268729799177<119>(100.00%)
10189+1 = 1000000000...<190> = 72 × 11 × 13 × 19 × 127 × 379 × 2689 × 52579 × 459691 × 909091 × 5274739 × 70541929 × 14175966169<11> × 8642670625016390971<19> × 189772422673235585874485732659<30> × 63060936944326674212591995662102125143<38> × 4841193139246416682912992055944726358563520908223<49>(100.00%)
10190+1 = 1000000000...<191> = 101 × 761 × 1901 × 3041 × 3541 × 27961 × 74861 × 417332341 × 722817036322379041<18> × 1369778187490592461<19> × 780548018657747948342675331841<30> × 458192181720740635773018630313952996833801<42> × 20547226778782170120539430083689730394727567536361<50>(100.00%)
10191+1 = 1000000000...<192> = 11 × 383 × 679961 × 4041943 × 955059211 × 78087485383<11> × 3370796736173938091727422330529475982098304687381174810841794785884893349397<76> × 34355007868290105260151014423846456692008580727031775135173625397961285416300659<80>(100.00%)
10192+1 = 1000000000...<193> = 3457 × 12289 × 418725889 × 1265011073<10> × 15343168188889137818369<23> × 515217525265213267447869906815873<33> × 338579887181973006729167651681190977281<39> × 16603249990114694613009401045119923580957837937462177950368477911534904193<74>(100.00%)
10193+1 = 1000000000...<194> = 11 × 1931 × 10037 × 1430131 × 166376423 × 197130359208641543369948601899772685881314797880591361841987239812905237552876758580360078419442702688883521253076425640461215518675198704069680024806236407348374092599681<171>(100.00%)
10194+1 = 1000000000...<195> = 101 × 389 × 78412655334235167606162810513004420610966509546603404268745999503561001<71> × 32459577600675557860942537579547020207960799876413377335594586605416959347268194103170247296625068200526946320832808609<119>(100.00%)
10195+1 = 1000000000...<196> = 7 × 11 × 132 × 131 × 157 × 211 × 241 × 859 × 2161 × 6397 × 9091 × 15601 × 216451 × 925081 × 1058313049<10> × 388847808493<12> × 8396862596258693901610602298557167100076327481<46> × 63054129911571801941639263405768461425999152026392552531582926655481271974023945336611<86>(100.00%)
10196+1 = 1000000000...<197> = 73 × 137 × 7841 × 52781463673<11> × 127522001020150503761<21> × 5010620991340707523594168804430658367520003649793780623118456073<64> × 3781177083560380583441154025352663121070150968307048633209358859027273162533881299502797579969<94>(100.00%)
10197+1 = 1000000000...<198> = 11 × 15761 × 7187743 × 300567477887394052365757<24> × 29811355463297742645615812791522446524687<41> × 8955859986822981751383809840603974861999297964004527560289254265178892781447034540032897420548979315018635088359476294463<121>(100.00%)
10198+1 = 1000000000...<199> = 89 × 101 × 9901 × 1052788969<10> × 1056689261<10> × 5419170769<10> × 79082656489<11> × 999999000001<12> × 789390798020221<15> × 2361000305507449<16> × 1538607523068637497164701<25> × 8218476795659338409712353841905411607826230659151143998522545586866704239099075512109<85>(100.00%)
10199+1 = 1000000000...<200> = 11 × 3545105703277<13> × 10765760180213<14> × 12277415800813<14> × 180724074168604579796294647309331<33> × 314293140427626491056008875724151058487007<42> × 34156671999167558280316457548021397439888515117317065783422183070342102287109965498971<86>(100.00%)
10200+1 = 1000000000...<201> = 17 × 5070721 × 5882353 × 24592788001<11> × 19721061166646717498359681<26> × 3475700719926956233659563848134955052440801<43> × 116990301476747139063183899107829995503054414640437569739696739532637081068627241615756780789663364521811201<108>(100.00%)
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