10^67101+1 = 1000000000...<67102> = 7 * 11 * 13 * 1046507197<10> * 36722820556801<14> * [2475547616...<22353>] * [1050065496...<44724>] (0.04%)
10^67102+1 = 1000000000...<67103> = 29 * 101 * 281 * 17235629 * 32208961 * 121499449 * [5744490148...<9577>] * [3135773302...<57497>] (0.04%)
10^67103+1 = 1000000000...<67104> = 11 * 134207 * [6773796516...<67097>] (0.01%)
10^67104+1 = 1000000000...<67105> = 193 * 577 * 769 * 19841 * 976193 * 4384129 * 6187457 * 7605121 * 2130686209<10> * 107403128257<12> * 317752351489<12> * 834427406578561<15> * 1253224535459902849<19> * 53763491189967221358575546107279034709697<41> * 5454254688947363287683007582959957955687742850180556063819779071987764320758722919012384757528711422022983327967821005633305513155176634315060424546674322713747588377841693274817<178> * [1314903470...<7418>] * [9967362417...<14821>] * [1000000000...<44545>] (0.48%)
10^67105+1 = 1000000000...<67106> = 11 * 9091 * 77304961 * 4932870248050721<16> * 8205774306900931<16> * 378958524394019490373<21> * [5926473873...<13368>] * [1422921615...<53673>] (0.10%)
10^67106+1 = 1000000000...<67107> = 101 * 349 * 521 * 38449 * 38861 * 138841 * 618049 * 2804569 * 2081839241<10> * 5048897101<10> * 83860840961<11> * 114550003829<12> * 1437274057369<13> * 14583568490089<14> * 176634104417915141<18> * 1900381976777332243781<22> * 11811806375201836408679635736258669583187541<44> * 18547092770394661955046893866403953444141877738854819606028843831344546174591125346548473015452312338456023705554686130669604243301021812682716262365263155956618360389<167> * [5751998314...<629>] * [4294336094...<2095>] * [3978388825...<4899>] * [9900990099...<59136>] (0.52%)
10^67107+1 = 1000000000...<67108> = 7 * 11 * 13 * 18195221796649<14> * 4483046108867658338506943<25> * [1114491486...<22331>] * [1098901098...<44737>] (0.06%)
10^67108+1 = 1000000000...<67109> = 73 * 137 * 457 * 21193 * 204857 * 1403417 * 435731841353<12> * 589567882075402057<18> * 5240808656722481737<19> * 102430611775548799993<21> * 297478330786365628414805305290302483555043017<45> * [3813728243...<3481>] * [2295218997...<63493>] (0.20%)
10^67109+1 = 1000000000...<67110> = 11 * 134219 * 909091 * 1495188521<10> * [6773190897...<9581>] * [7356931079...<57507>] (0.03%)
10^67110+1 = 1000000000...<67111> = 61 * 101 * 3541 * 9901 * 27961 * 44741 * 4188901 * 14898421 * 39526741 * 229918861 * 2537900802769<13> * 12844257973721<14> * 6031452721431534301<19> * 4349348743525136310189771336365201<34> * [2276430491...<4439>] * [6223469909...<8926>] * [3979662991...<8932>] * [2824060999...<8945>] * [4355197941...<17862>] * [1100358981...<17881>] (0.19%)
10^67111+1 = 1000000000...<67112> = 11^2 * 23 * 4093 * 8779 * 36607 * 1258331251<10> * 1429659533<10> * 1211385897503<13> * 4332674860215881<16> * [4009169814...<6071>] * [7216310127...<60979>] (0.09%)
10^67112+1 = 1000000000...<67113> = 17 * 5882353 * 6264099857<10> * 584560284641<12> * 667154722348470459041<21> * [4093411950...<67062>] (0.08%)
10^67113+1 = 1000000000...<67114> = 7 * 11 * 13 * 19 * 52579 * 4429459 * 8113201087<10> * 1136643933253<13> * 13347744404772981289<20> * 9597530468835850386976051<25> * [7096430168...<7412>] * [1191631374...<14891>] * [2259869656...<44730>] (0.12%)
10^67114+1 = 1000000000...<67115> = 101 * 1289 * 17509 * 805369 * 7954469 * 89465881 * 134124603589<12> * 1001478784681<13> * 18371524594609<14> * 4181003300071669867932658901<28> * [5915595118...<2874>] * [1254083531...<64147>] (0.14%)
10^67115+1 = 1000000000...<67116> = 11 * 1733 * 9091 * 11161 * 53693 * 14929841 * 3925963357681<13> * 30119396638841<14> * 55783879554131<14> * 5167617497664851<16> * 428650584357462006971<21> * 909090909090909090909090909091<30> * 4857900688365130469291831549890842547443917376935406225054646143856579892970236911030721<88> * 9403727541...<415> * [5706679362...<1687>] * [2048684186...<12956>] * [9091000000...<51840>] (0.94%)
10^67116+1 = 1000000000...<67117> = 73 * 137 * 953 * 2633 * 2857 * 7841 * 18049 * 70313 * 79337 * 371281 * 485041 * 536929 * 6514537 * 13266937 * 16510537 * 99990001 * 118710721 * 152533657 * 1643133913<10> * 1914825193<10> * 4392716633<10> * 6578404633<10> * 11189053009<11> * 19044844057<11> * 124873344961<12> * 2142518367141601<16> * 60891291243097753<17> * 603812429055411913<18> * 1119527384827710553<19> * 127522001020150503761<21> * 148029423400750506553<21> * 3633102023635951037090369<25> * 53043011765949537815976769<26> * 169905327561162104198557246291921<33> * 4821233048302009490154033911787593<34> * 9669314576207924611729263841892458362961<40> * 57556882578341647185153598986016964185201<41> * 65552746171882583264230070868884366877803237222654400793<56> * 44432384794221343755897441742032531086615578692097502509412995439256236377<74> * 27851538931791182813585932285490596820623900747164894668499167046712090201879423948069199442816537475115348268729799177<119> * 1563539502...<295> * [9099868126...<347>] * [2520618948...<704>] * [3798328902...<1101>] * [5250239944...<2198>] * [6266609676...<2910>] * [8007313412...<5877>] * [9999000099...<17664>] * [6865819914...<35306>] (1.51%)
10^67117+1 = 1000000000...<67118> = 11 * 2665037 * 585531983 * 2670502781396266997<19> * 3404193829806058997303<22> * [5825771542...<1621>] * [1099999999...<65441>] (0.08%)
10^67118+1 = 1000000000...<67119> = 101 * 149 * 3109 * 111149 * 68710441669<11> * 708840373781<12> * 893345278261<12> * 669031686661427842829<21> * 40548140514062774758071840361<29> * [9900990099...<1812>] * [1645429530...<65210>] (0.14%)
10^67119+1 = 1000000000...<67120> = 7 * 11 * 13^2 * 157 * 859 * 6397 * 216451 * 1058313049<10> * 388847808493<12> * 2706561924013<13> * 180459856755095321<18> * 498180030678945961<18> * [1824824065...<1703>] * [4060136548...<3428>] * [6095538474...<20623>] * [9100000000...<41280>] (0.13%)
10^67120+1 = 1000000000...<67121> = 353 * 449 * 641 * 1409 * 69857 * 1634881 * 18453761 * 190083841 * 218542721 * 6536951041<10> * 947147262401<12> * 1898447317121<13> * 2666294453158529<16> * 29517302280347521<17> * 349954396040122577928041596214187605761<39> * [1270618657...<13377>] * [1939745141...<53594>] (0.22%)
10^67121+1 = 1000000000...<67122> = 11 * 449173733 * 603858350765281<15> * 115896365873445931<18> * [2891931945...<67080>] (0.06%)
10^67122+1 = 1000000000...<67123> = 89 * 101 * 109 * 6781 * 9901 * 20341 * 153469 * 915301 * 13916629 * 630544069 * 765144469 * 1052788969<10> * 1056689261<10> * 5419170769<10> * 52743988481<11> * 79082656489<11> * 999999000001<12> * 789390798020221<15> * 2361000305507449<16> * 3205591041505249<16> * 132305743681936841<18> * 4097628225636876001<19> * 13710442808952877681<20> * 1538607523068637497164701<25> * 18283601437473122946437969<26> * 59779577156334533866654838281<29> * 1514427595353706820425903708489<31> * 3827743799473382921769954849841<31> * 62554557765317517282085861045655294434955453111717816503072219942390838369658841<80> * 8218476795659338409712353841905411607826230659151143998522545586866704239099075512109<85> * 226813030797815731197778256645639265718556459184651841552579161651406131077524640644151258260029762686434793845331341<117> * [5129860832...<256>] * [1489454343...<445>] * [1199763324...<1322>] * [3969406518...<2208>] * [1092536772...<4027>] * [9901000000...<4480>] * [9999990000...<13440>] * [1585931973...<40312>] (0.95%)
10^67123+1 = 1000000000...<67124> = 11 * 3613 * 95891 * 208729 * 402739 * 909091 * 1697477 * 17183489 * 57009401 * 540134099 * 872733247 * 1273515091<10> * 2182600451<10> * 5156432569<10> * 56434147049771<14> * 564138475806739<15> * 212057054080446499<18> * 120525789336558438197<21> * 666719737921450118291<21> * 7306116556571817748755241<25> * 151402889440440486941741983<27> * 6798855735656881396055959081077830421892567<43> * 1966032824334071843648738236716922141567459089390154109618864643162638011<73> * 253093223170974042778078357371021297932776085452885919633889326945731506967967386342851064208779696417921593338374442943683661653<129> * 1752088930844817629923654387608505754917704006063078641900632201094124478044555887071171166365583553287053602700568010683873135238140340718711012045219107751867190380847<169> * [5412597946...<1289>] * [2618587980...<9264>] * [6061979846...<55928>] (0.96%)
10^67124+1 = 1000000000...<67125> = 73 * 137 * 947790881 * 33949842473<11> * 37491245201<11> * 2725563307601<13> * 80776359618184961<17> * 89889606269073901082901578436277965983883967076039535258233<59> * 1112364433...<326> * [3301736653...<661>] * [1140346578...<66017>] (0.67%)
10^67125+1 = 1000000000...<67126> = 7 * 11 * 13 * 211 * 241 * 251 * 2161 * 5051 * 9091 * 21001 * 21481 * 35801 * 42961 * 162251 * 563851 * 9666001 * 11172823 * 21206131 * 1332834001<10> * 10893295001<11> * 41987743601<11> * 73911740251<11> * 472665429211<12> * 710127817291<12> * 78875943472201<14> * 114956047524001<15> * 6586348755220675329011<22> * 25005172023963824973001<23> * 59244397795882902986928930001<29> * 98352890767708325565687458801<29> * 406122163793038854621269776053091<33> * 523661705392754764972834211810001059<36> * 10000099999999989999899999000000000100001<41> * 4709825349852110182615878875374419529306990314325041101342026868334001<70> * 14332371646347867103751140722104256371688921437307256086517631268211025054763001<80> * 269409792871731627664586194662281233853701011108906726055753272681082282441709251<81> * 17360270948380236765442123580448180934246742941840774929827069381097446101825710313953633305039247538221205037054245870292654737645806593390849<143> * 5637215218...<312> * [2199819367...<679>] * [1262120659...<1397>] * [2421556894...<3521>] * [1376602022...<7099>] * [1176941153...<17776>] * [9999999999...<35600>] (1.57%)
10^67126+1 = 1000000000...<67127> = 101 * [9900990099...<67124>] (0.00%)
10^67127+1 = 1000000000...<67128> = 11 * 42397 * 909090909090909091<18> * [2144234047...<3528>] * [1099999999...<63577>] (0.04%)
10^67128+1 = 1000000000...<67129> = 17 * 44753 * 134257 * 1476817 * 5882353 * 5869101329233<13> * 35809131940609<14> * 9999999900000001<16> * 64800179184852217297<20> * [2334935845...<22338>] * [3544032247...<44705>] (0.13%)
10^67129+1 = 1000000000...<67130> = 11 * 268517 * 13167487609<11> * [2571180762...<67113>] (0.02%)
10^67130+1 = 1000000000...<67131> = 29 * 101 * 281 * 421 * 2741 * 3541 * 8221 * 19181 * 27961 * 537041 * 3471301 * 13489841 * 121499449 * 167050129 * 268330861 * 718606649 * 3324833821<10> * 40160350429<11> * 60368344121<11> * 25667599314241<14> * 48297081951301<14> * 318831012420101<15> * 366395073564101<15> * 5967683578908941<16> * 21663783728118281<17> * 354434210886621881<18> * 193735169554861937129<21> * 848654483879497562821<21> * 32422034720694602873554553373241<32> * 28706164502711390875680641913825481<35> * 11621897163409200201223887528138662702903389700229845471814520224606678003269<77> * 999999999999990000000000000099999999999999000000000000009999999999999900000000000001<84> * 1651732052430074361873884440693609861769561877782463897348222686035759826875067120033981<88> * 178720049686128661890023146702383771619725932844782734965468342419910154928823674286045929<90> * 268518285251996916122291111993206592643219262117557903651817212241734106267484004209003780641949203741<102> * 114829854565761905398975084119988233562137641986342864278805348541353628021441076133668350909404160578580106494602411458108349501<129> * [3930789898...<523>] * [1393355863...<531>] * [3120801106...<1604>] * [1063951150...<3255>] * [1459203116...<3261>] * [1000000000...<11425>] * [6466959957...<22813>] * [4611385122...<22832>] (1.33%)
10^67131+1 = 1000000000...<67132> = 7 * 11 * 13 * 19 * 52579 * 134263 * 1432129 * 2416717 * 61760521 * 95728807 * 309906533 * 44588574299<11> * 1347052976117011<16> * [6578895637...<7439>] * [7673199124...<14910>] * [3873590078...<44706>] (0.11%)
10^67132+1 = 1000000000...<67133> = 73 * 137 * 268529 * 1580801 * 19168769 * 8406269041<10> * 89335367965190197474457<23> * 4006493522333901984780000976519275214961<40> * 632527440202150745090622412245443923049201<42> * [1457385597...<5091>] * [4430461299...<61905>] (0.20%)
10^67133+1 = 1000000000...<67134> = 11^2 * 23 * 103 * 4013 * 4093 * 8779 * 25849 * 192611 * 11742173 * 21993833369<11> * 1284680342573<13> * 6315203673292075607<19> * 125797399492676917721<21> * 19210610797963667218565939<26> * 2731764846587782091546914066524656594612608438032609803989298453<64> * 55957395872359820769658435528889482277826574998014018514928782197341726428854387236670658714503098749571<104> * [6701608956...<265>] * [1099999999...<3581>] * [9367942373...<5721>] * [9090909091...<57280>] (0.43%)
10^67134+1 = 1000000000...<67135> = 101 * 269 * 4021 * 9901 * 114229 * 134269 * 1963369 * 260587121 * 213172394349469<15> * 476103356904941<15> * 94927228208573594069<20> * 411108592242640071999067201<27> * 411603787218349354280868589<27> * 1387401303965667453093373669<28> * 11330146155773631399355243982343786649<38> * 198607499132490748242152175454768755769289<42> * 2302527353565357450759725122262880394277261<43> * 16071030565277594576986582552521799177065559188277159741<56> * 473422134866090530705347772603209509527842120964263087241<57> * 256791351938897604127766524249910803570004341949762240760779741<63> * 15082430268839895518120138007695651193149092773167884646166709770422465462163749312903859494420307404069<104> * 5869910682...<217> * [7803852504...<622>] * [7522212871...<21907>] * [9901000000...<43824>] (1.16%)
10^67135+1 = 1000000000...<67136> = 11 * 59 * 1451 * 5557 * 9091 * 241687 * 30104611 * 50839253 * 58765601 * 1672869931<10> * 4907783333<10> * 167993790281<12> * 721855053971<12> * 832424454371<12> * 1860679164649<13> * 2433146345771<13> * 17996132431060961<17> * 514694275476983299<18> * 510337376320516057447<21> * 154083204930662557781201849<27> * 97862727665480231246011008935563207741144491224418517422691228321<65> * [1729403218...<439>] * [1523836390...<1837>] * [3530590093...<12883>] * [3886077199...<51712>] (0.40%)
10^67136+1 = 1000000000...<67137> = 1265011073<10> * 2346515182849<13> * 15343168188889137818369<23> * 515217525265213267447869906815873<33> * [4261638736...<67060>] (0.11%)
10^67137+1 = 1000000000...<67138> = 7^2 * 11 * 13 * 47 * 127 * 139^2 * 557 * 967 * 2503 * 2531 * 2689 * 11677 * 19183 * 20287 * 31051 * 286063 * 364459 * 459691 * 909091 * 12797731 * 17017771 * 61497493 * 99765583 * 1208197453<10> * 1569936761<10> * 6602713783<10> * 10374009241<11> * 80505290251<11> * 18488225500729<14> * 143574021480139<15> * 549797184491917<15> * 680493139018463<15> * 1832528884575847<16> * 2417039652612971<16> * 70099301171494099<17> * 250527139404103927<18> * 1203881882727712699967<22> * 81254672470279280467489<23> * 24649445347649059192745899<26> * 1036412737512256032518509357<28> * 4845825548319420226515183211<28> * 23391028206417273637358380573<29> * 42799482626798894925771469327<29> * 7775058388319250595762800404689<31> * 5342512091349500920639852868215477<34> * 3467181836108518473613752346371718729<37> * 14572843015599488197037677669601442481<38> * 3309383964775818489317002654646529291847<40> * 84191134295847459088496323909951690425296390505413654926185730285872463<71> * 652065570931334169846518762110895357104035953330623783530923329412897765703841859492780362601926814638167836591846272150911969126521<132> * 67527744060168452442748261636675305932823309390648327259608620272905373094176870057236763910064498862217790268164526184912017881807211<134> * 8396109478...<226> * [1569202362...<812>] * [1068990724...<1560>] * [3125370920...<2964>] * [3155433008...<6025>] * [1335929707...<18202>] * [3507829641...<36388>] (1.77%)
10^67138+1 = 1000000000...<67139> = 101 * 2685521 * 1867202326148569<16> * [1974507072...<67115>] (0.04%)
10^67139+1 = 1000000000...<67140> = 11 * [9090909090...<67138>] (0.00%)
10^67140+1 = 1000000000...<67141> = 73 * 137 * 3169 * 89521 * 98641 * 1676321 * 2005249 * 50548961 * 99990001 * 265183201 * 310813441 * 2169794713<10> * 5964848081<10> * 1353760497577<13> * 22198584058633<14> * 3199044596370769<16> * 7163994044917033<16> * 12628946522667361<17> * 66105714868198777<17> * 437400322416232488095017<24> * 100009999999899989999000000010001<33> * 95853807664312827399794371014650641<35> * 39340929985040037939860550511566010202173435808159761<53> * [1470630643...<1440>] * [7544598150...<2953>] * [1566621453...<5929>] * [3327613586...<8903>] * [3593617557...<11891>] * [9999999999...<35712>] (0.47%)
10^67141+1 = 1000000000...<67142> = 11 * 2991376480369<13> * [3039038767...<67128>] (0.02%)
10^67142+1 = 1000000000...<67143> = 101 * 430148941 * 33188290601<11> * 230175856669373992253976277974612031182496625023886807386072581333871027940087154579555293851089822885094561<108> * [9900990099...<1136>] * [3043242004...<65878>] (0.19%)
10^67143+1 = 1000000000...<67144> = 7 * 11 * 13 * 134287 * 268573 * 402859 * 1074289 * 70634437 * 1478783280949225693009<22> * [8402178315...<22369>] * [7292601582...<44720>] (0.08%)
10^67144+1 = 1000000000...<67145> = 17 * 113 * 3697 * 1660289 * 5882353 * 10100113 * 20008913 * 30357713 * 1776323331356113<16> * 3831796138952006881<19> * 73765755896403138401<20> * 43922242252020060474812593<26> * 119968369144846370226083377<27> * 69107936491313674237030826849<29> * 8589840329041886690728827747918082241<37> * 9900879227786858424257223656804730798555422102713108259184822982673560177<73> * [1289298797...<441>] * 5941732520...<820> * [3947382419...<5126>] * [1000000009...<8641>] * [4997772692...<51833>] (1.65%)
10^67145+1 = 1000000000...<67146> = 11 * 131 * 859 * 9091 * 10331 * 134291 * 4834441 * 1058313049<10> * 11415321451<11> * 105329555761<12> * 174697416811<12> * 8396862596258693901610602298557167100076327481<46> * [8799640974...<1028>] * [6296538438...<4117>] * [8191166943...<12379>] * [1563964875...<49509>] (0.17%)
10^67146+1 = 1000000000...<67147> = 101 * 229 * 2281 * 4789 * 5209 * 7069 * 9901 * 42409 * 537169 * 1097441 * 2049349 * 2327729 * 275493541 * 304077901 * 995775181 * 1383879061<10> * 5411126509<10> * 32218530889<11> * 78639698881<11> * 52875286008709<14> * 21741329632225561<17> * 722817036322379041<18> * 739653893349540289<18> * 1369778187490592461<19> * 33950736420661075851541<23> * 720355304496996023353602286321<30> * 6309203540697794137728747763478561<34> * 139716865184144864008269344660199946429<39> * 483128549554512237305554588359039822397307149685578249<54> * 1387770812537486172424567765413032718466560432631753219117445147282909788805041<79> * [1444256332...<645>] * [1866524462...<1071>] * [5038970551...<1330>] * [4199728399...<2141>] * [4296032742...<20514>] * [1928580576...<40990>] (0.68%)
10^67147+1 = 1000000000...<67148> = 11 * 167 * 997 * 1619 * 25889 * 35597 * 3565183 * 2097307081<10> * 14305637609<11> * 389074661646211<15> * 7742098247001476863<19> * 943176903141330068482602900960294299878841<42> * [1094691193...<772>] * [1099999999...<66257>] (0.18%)
10^67148+1 = 1000000000...<67149> = 73 * 137 * 28336457 * 218181816910217<15> * [1617307016...<67123>] (0.04%)
10^67149+1 = 1000000000...<67150> = 7 * 11 * 13 * 19 * 1459 * 52579 * 89533 * 761023 * 70541929 * 2458921051<10> * 14175966169<11> * 45468612576649<14> * 1384551663874201<16> * 456502382570032651<18> * 610600386089858349939139<24> * 18081197289920551624005736479518573<35> * [1105779228...<781>] * [1098901098...<1657>] * [1315334752...<4963>] * [1116906616...<14900>] * [7222554608...<44697>] (0.23%)
10^67150+1 = 1000000000...<67151> = 101 * 3541 * 5101 * 5689 * 7901 * 26861 * 27961 * 60101 * 102701 * 3221501 * 7019801 * 11791541 * 13564301 * 28559389 * 1491383821<10> * 1674452401<10> * 14123928101<11> * 7568346838961<13> * 14103673319201<14> * 1680588011350901<16> * 2324557465671829<16> * 7239775671637271201<19> * 99834305852659737721<20> * 125347246021251023701<21> * 237612993541791006121<21> * 677454164312325783841<21> * 228874386456730629545201<24> * 468189487847071693395701<24> * 1009091703123200806016801<25> * 3479214620202817576904801<25> * 14305987221084718242712901<26> * 101867561471536050328003441<27> * 9617937539686528098542338201<28> * 9881484126026806397682037921<28> * 14671834360812557354682189761<29> * 1988731184935761442996825520561<31> * 507998564486483655774880939989709<33> * 2095984910297609187763730708273246358018472392101<49> * 646301962916453492325383567253991760083617720844121<51> * 1051361091529803074497312148085134194834726090632313891925201<61> * 530084044837791203267418958734478905892862260111193658629289735929681<69> * [6535808879...<242>] * [1948394174...<245>] * 3529967022...<259> * 1924817940...<285> * [2845612900...<1536>] * [1278382737...<1557>] * [1009999999...<2497>] * [4351505434...<4938>] * [2796100027...<4993>] * [1018598570...<24884>] * [5167781276...<24943>] (1.97%)
10^67151+1 = 1000000000...<67152> = 11 * 743 * 13757 * 152041 * 909091 * 520629492517<12> * 1057997274797<13> * 1630467107809<13> * 2374405879931<13> * 2658556578091<13> * 28253355018481<14> * 2584863032795023<16> * 1467439874822650361<19> * 293742934511307283750049408081<30> * 157098960626439851618648929549692694031560694047<48> * 9090909090909090909090909090909090909090909090909091<52> * 57813769227978665304109403799291636496876923883191635824278127299864929561<74> * 778918424933155393480511088578762495409547716376329687166271120021739022042090054703<84> * 2548171182130492354464113595833821781588064140986874348075459263402328971040215243200625902015381883224397137647<112> * 1352321123248730090708692723609127157649515933796286170117784807116484662422141966190067516609475956486212837749899759061263<124> * [1146122551...<1051>] * [1325425217...<9318>] * [1070943477...<56137>] (0.96%)
10^67152+1 = 1000000000...<67153> = 97 * 353 * 449 * 641 * 1409 * 69857 * 206209 * 15982177 * 112681057 * 66554101249<11> * 75118313082913<14> * 909134255710817<15> * 286317372554772852289<21> * [2403744711...<22326>] * [8874606137...<44728>] (0.15%)
10^67153+1 = 1000000000...<67154> = 11 * 268613 * 2716338851<10> * [1245937743...<67138>] (0.02%)
10^67154+1 = 1000000000...<67155> = 101 * 29734582429<11> * 4943524195020775369<19> * [6735659399...<67123>] (0.05%)
10^67155+1 = 1000000000...<67156> = 7 * 11^3 * 13 * 23 * 211 * 223 * 241 * 331 * 727 * 1453 * 2161 * 4093 * 4357 * 4663 * 5171 * 7253 * 8779 * 9091 * 10891 * 12211 * 25169 * 26863 * 44771 * 131891 * 240131 * 510379 * 537241 * 1485397 * 1672771 * 6039881 * 6886441 * 286690801 * 599144041 * 1401524851<10> * 3846259891<10> * 4124507971<10> * 18386313727<11> * 20163494891<11> * 33400699201<11> * 183411838171<12> * 409038414731<12> * 3481311540961<13> * 38274352165171<14> * 422650073734453<15> * 2075758155753811<16> * 2354782628316361<16> * 49173925574833481<17> * 101277887836450447<18> * 296557347313446299<18> * 182160098613913582339<21> * 11196072002173926590251<23> * 100206386031308374281091<24> * 102502981431359171598893<24> * 318727841165674579776721<24> * 19835636682880495867311241<26> * 21606064498691505246200058094681<32> * 84713181371149698699040859437321<32> * 48911689110891303706174193415115219<35> * 19505047835248219128488737914962029531<38> * 219750014263062386251162088588835607771<39> * 49456490287679221045707935346512906387197<41> * 1112314101311286003379752617807870409611285281<46> * 604952525701654038337824178399730400714477150228392025331<57> * 20405858262551036238097198927251201795324405825413199508017546361<65> * 544471001372579296332291652675646774644208265246405598834086237345292487<72> * 2067231225493579124691265691673517567653300635544400879316674712296736966641<76> * 35659932670748240040264579983001349652095197374575865104279861880596411416379094721760000561<92> * 230011192907385746489206818568311532935807860401402800698998509497721478420289331088499239362108691<99> * 11822467114406347049508509173181187674903268156244494414655679899332039067660980127211497142614121477521<104> * 22369355044392829576198363935261212146051995578845131526611800779453430519897692892453842577603840415445414697342892679968594131<128> * [1444603573...<279>] * [6961728477...<431>] * [5178665103...<622>] * [9999999999...<880>] * [1536838588...<1414>] * [2255627137...<2813>] * [5438828113...<3950>] * [1340506446...<7888>] * [1076035134...<15821>] * [2706342085...<31634>] (2.13%)
10^67156+1 = 1000000000...<67157> = 73 * 137 * 2609 * 669913 * 1764313 * 16520377 * 4545499111409<13> * 38450569246994805922293218161<29> * 11473211017374556816173911142176636257510145503232608049<56> * [3383377151...<319>] * [4778870723...<626>] * [6053735940...<66089>] (0.18%)
10^67157+1 = 1000000000...<67158> = 11 * [9090909090...<67156>] (0.00%)
10^67158+1 = 1000000000...<67159> = 29 * 101 * 281 * 521 * 1009 * 3121 * 9901 * 68389 * 226549 * 509221 * 671581 * 681409 * 1106509 * 1343161 * 3357901 * 116279281 * 121499449 * 139723081 * 196879541 * 367470209 * 9227715841<10> * 37275014869<11> * 43266855241<11> * 428085457801<12> * 654721485601<12> * 999999000001<12> * 8013074182849<13> * 8596906521589<13> * 53397071018461<14> * 4902137591818741<16> * 666145793695687241<18> * 828273518588152729<18> * 4458192223320340849<19> * 66881844823755776761<20> * 798407634963349034989<21> * 1900381976777332243781<22> * 2731223031467162137361<22> * 11761957262582764997761<23> * 1104543434341827808852889<25> * 1446363330150166162411249<25> * 4358520633331847997580801<25> * 216667590115007379484962361<27> * 880632750113310685046593549<27> * 6060517860310398033985611921721<31> * 7170172761396005732191662987589<31> * 117609798518967483441609863271124249<36> * 83991579034720609392656974112397395006880745482841386049<56> * 22906246896437231227899575633620139766044690040039603689929<59> * 3571618567996393297210217238290456648947344377957590363519828421<64> * 431916413820617754546053476804635449461410533962843828981966782964481<69> * 1447745997018511893740076606031686237538345362413531560645573104006506749609<76> * 554997773096088237513524958962449928676083464040648051002127127164539795044109<78> * 722898512786203801042951920020842806081459364277150501545096737658329011666631945714409<87> * 1585333300...<230> * [4437742030...<414>] * [1967121041...<464>] * [1467545923...<859>] * [1307802079...<921>] * [7701077530...<934>] * [2052981347...<1890>] * [1247959244...<2868>] * [7178704044...<5710>] * [3282000642...<5715>] * [1503912394...<11515>] * [2217197975...<34548>] (1.98%)
10^67159+1 = 1000000000...<67160> = 11 * 268637 * 1208863 * 4730948597<10> * 5683633530727<13> * 6560496291091<13> * 508399838327574001<18> * 58513940129535379432477007<26> * 2846390188891241030645451773087716881978563746547069042984813032147999326242449<79> * 1431135121058581084714805848152798178115682551730402597243763044287124792572084319412841582786640330468733<106> * 16547433246480520174349179207193433881181252010316221293841402155991914006665222503784862841092262365532740265874407144559674728417785771<137> * 6282138071505210318841228543562283508437569619884438177000652801796615935488955777747431198279234592543622766101015393665597896857185313159459<142> * [1259724204...<66607>] (0.82%)
10^67160+1 = 1000000000...<67161> = 17 * 11681 * 617873 * 1128289 * 5070721 * 5882353 * 161464321 * 561457601 * 593928001 * 19010286241<11> * 27213728715361<14> * 123209515935184769<18> * 1608357139893807878893601<25> * 19721061166646717498359681<26> * 88424835854419406860480471361<29> * 326866013321545141677800244941441<33> * 120553054891405588545727822543281066162803459003848166118314367809<66> * 829510285658710111215121966308351445187741335558528775675039806142270659943202818322753067885238020768017585089<111> * [5260310009...<566>] * [2151163818...<619>] * [8927083747...<2283>] * [1164223017...<12644>] * [6544778889...<50666>] (0.57%)
10^67161+1 = 1000000000...<67162> = 7 * 11 * 13 * 367^2 * 6607 * 81131 * 30356773 * 51745081 * 2624651881<10> * 40498340376691<14> * 137813744850583<15> * 529730486978023<15> * 1545019424291668933544176891237<31> * 6337012003051224701798337646203298967<37> * 42936744040512685057308971520417028077990465463<47> * 33277993916065498965234812212436587255656671587921<50> * 11205222530116836855321528257890437575145023592596037161<56> * 1434573437...<330> * [1076515672...<699>] * [1506763818...<21932>] * [3112060388...<43901>] (0.94%)
10^67162+1 = 1000000000...<67163> = 101 * [9900990099...<67160>] (0.00%)
10^67163+1 = 1000000000...<67164> = 11 * 6299 * 134327 * 1947547180357<13> * 4855067598095567<16> * 297262705009139006771611927<27> * 1045009851966050465253560419<28> * [4466825045...<1389>] * [8188971688...<65683>] (0.14%)
10^67164+1 = 1000000000...<67165> = 73 * 137 * 233 * 3089 * 13921 * 44777 * 77201 * 355193 * 10086953 * 99990001 * 194641273 * 21591416633<11> * 480754404553<12> * 16034279413300081<17> * 11090099157944399977<20> * 14864408443649531761<20> * 1289096563711372002926829150477841<34> * 17468739848498438039329935679794457<35> * 246900403017958787131873605843061988161<39> * 320326994163169943384295066992439316655840979654890345228609<60> * 2623709608263520547879954791214412810391703985166673562220208867630775121385164482905259044455273939230491414883050557483687370269811018178176841590586944036054473<163> * [4156767571...<753>] * [5219276995...<1484>] * [1147502123...<21492>] * [1297131044...<42981>] (0.68%)
10^67165+1 = 1000000000...<67166> = 11 * 607 * 809 * 1213 * 9091 * 57571 * 671651 * 909091 * 4147571 * 178241771 * 314792761 * 1258323641<10> * 1327067281<10> * 1812604116731<13> * 16278717101851<14> * 121450506296081<15> * 660248012644081<15> * 1011343309515211<16> * 265212793249617641<18> * 909090909090909091<18> * 10013779702381498531<20> * 366020690045182791520721<24> * 8504170357156122930704641<25> * 247025236977306025681323889<27> * 61828645758322140842666144519962696417487<41> * 72021403933746126426491665754465510017877<41> * 4996731930447843676185843959746621491531100801<46> * 11500490394117824585468796003575163076836624586334794818271756072956027758946488969<83> * 6093716070...<358> * [7224692132...<423>] * [6757288569...<587>] * [1910684198...<1796>] * [9091000909...<2400>] * [5056049345...<7161>] * [9090910000...<10800>] * [4551720232...<43162>] (1.25%)
10^67166+1 = 1000000000...<67167> = 89 * 101 * 569 * 7669 * 26489 * 338669 * 1549549 * 1052788969<10> * 1056689261<10> * 380623849488714809<18> * 6219908629712986001<19> * 208557480788036914014508993681<30> * 7716926518833508778689508504941<31> * 93611382287513950329431625811490669<35> * 82519882659061966708762483486719446639288430446081<50> * 2923500556298303355222653948542706598448925085853709961673200056984872843366529<79> * [2460653693...<830>] * [4842789604...<1371>] * [1623818065...<5862>] * [9900990099...<58800>] (0.45%)
10^67167+1 = 1000000000...<67168> = 7 * 11 * 13 * 19 * 103 * 4013 * 52579 * 2142001 * 3313573 * 5364487 * 766170019 * 832339891 * 934948837 * 21993833369<11> * 276402747619<12> * 291078844423<12> * 2405782797823<13> * 38947094768983<14> * 267622100865127<15> * 377526955309799110357<21> * 1650974216553232761361<22> * 307331935589859872028943<24> * 2007622663585244978440996921<28> * 157393477257579000092993572752789683416120273639369<51> * 2515873088287897454782011891518911571754342290096763019<55> * 3127889058329352843751138723028784195008863188510913210373<58> * 3758889450...<303> * [1098901098...<877>] * [1397401090...<2611>] * [1406810263...<6968>] * [1663430110...<13989>] * [3732879297...<42034>] (1.03%)
10^67168+1 = 1000000000...<67169> = 19841 * 976193 * 6187457 * 834427406578561<15> * [9999999999...<67136>] (0.05%)
10^67169+1 = 1000000000...<67170> = 11 * 134339 * 97734384111974969<17> * 23180042483517079418411<23> * [2987057588...<67124>] (0.07%)
10^67170+1 = 1000000000...<67171> = 61 * 101 * 3541 * 9901 * 27961 * 89561 * 134341 * 806041 * 2552461 * 4188901 * 8866441 * 39526741 * 2951426436957469<16> * 14876501067106496401<20> * 226246730064451723513841<24> * [1482737775...<4438>] * [3956961497...<8946>] * [3153226292...<8948>] * [3576409999...<8952>] * [1918045325...<17879>] * [3614134898...<17893>] (0.17%)
10^67171+1 = 1000000000...<67172> = 11 * 859 * 188027131 * 1058313049<10> * 304631232361<12> * 618219087197<12> * 435913494655714619<18> * 828048396680845362139811<24> * [2166647956...<5105>] * [3610923251...<61981>] (0.13%)
10^67172+1 = 1000000000...<67173> = 73 * 137 * 7841 * 127522001020150503761<21> * [9999000099...<9592>] * [1000099999...<57553>] (0.04%)
10^67173+1 = 1000000000...<67174> = 7 * 11 * 13 * 268693 * 1477807 * 5801353422973<13> * [5832055371...<22372>] * [7436025806...<44774>] (0.04%)
10^67174+1 = 1000000000...<67175> = 101 * 405865309 * [2439476811...<67164>] (0.02%)
10^67175+1 = 1000000000...<67176> = 11 * 251 * 5051 * 9091 * 537401 * 8011962251<10> * 18119811371<11> * 259355473841<12> * 411825742001<12> * 78875943472201<14> * 532994774320016237<18> * 49328822036034948619<20> * 6411504862262438002418447<25> * [2079353006...<2613>] * [1474080429...<10723>] * 2322560192...<53705> (80.15%)
10^67176+1 = 1000000000...<67177> = 17 * 433 * 8929 * 134353 * 403057 * 2622353 * 5882353 * 6757409 * 2032531793<10> * 61690407841<11> * 36474933274529<14> * 41376341641249<14> * 138662874699841<15> * 9999999900000001<16> * 145488195502386817121<21> * 372214744322592997179029616001<30> * 33239864870862558735999440807057<32> * 491413179769291800875985377355914924161<39> * 111994624258035614290513943330720125433979169<45> * 42329002505294251119371713750694841859239120433<47> * 111026658464799772810971884821271839945529173378999198369<57> * [4228790830...<2363>] * [1620997566...<4950>] * [1000000000...<14881>] * [3218650899...<44602>] (0.57%)
10^67177+1 = 1000000000...<67178> = 11^2 * 23 * 2729 * 4093 * 8779 * 15761 * 43649 * 204601 * 229703 * 403063 * 598487 * 7187743 * 43176491 * 13735287987851<14> * 444869765306059<15> * 520955226067453<15> * 26153558331794716327<20> * 300567477887394052365757<24> * 626254207448316529499143<24> * 5730392562540952441153208609<28> * 909090909090909090909090909091<30> * 2521683376335623264853169025426175893<37> * 29811355463297742645615812791522446524687<41> * 8955859986822981751383809840603974861999297964004527560289254265178892781447034540032897420548979315018635088359476294463<121> * 2858024101...<227> * [1167894127...<1900>] * [3658701208...<5833>] * [2255456117...<58795>] (0.97%)
10^67178+1 = 1000000000...<67179> = 101 * [9900990099...<67176>] (0.00%)
10^67179+1 = 1000000000...<67180> = 7^3 * 11 * 13 * 127 * 197 * 2689 * 16453 * 459691 * 825343 * 909091 * 1247611 * 8554127 * 2804755241<10> * 199276489717<12> * 1486325893149393367<19> * 7191076849334015303<19> * 9305864402772823945921<22> * 67610894753935762370569<23> * 173078544916955711084574209<27> * 127539278618607069275328998039143<33> * 5076141624365532994918781726395939035533<40> * 142857157142857142856999999985714285714285857142857142855714285571428571428572857143<84> * [1626508293...<436>] * [4197496653...<870>] * [1583814522...<2663>] * [6579163390...<5432>] * [1169026482...<19146>] * [9999999000...<38304>] (0.49%)
10^67180+1 = 1000000000...<67181> = 73 * 137 * 268721 * 349337 * 1676321 * 27758777 * 196703041 * 5964848081<10> * 541475221357649<15> * [1904289930...<13405>] * [1892041884...<53715>] (0.09%)
10^67181+1 = 1000000000...<67182> = 11 * [9090909090...<67180>] (0.00%)
10^67182+1 = 1000000000...<67183> = 101 * 9901 * 44789 * 130333081 * 294033221 * 4401823706459189<16> * [1707962038...<22364>] * [7749367867...<44776>] (0.06%)
10^67183+1 = 1000000000...<67184> = 11 * 47 * 139 * 2531 * 3557 * 268733 * 857772733 * 1094479651<10> * 1125629957<10> * 2715002889517<13> * 549797184491917<15> * 49488508644018419<17> * 69047138123009370059<20> * 616896149073719728613<21> * 10860110813777339731289<23> * 611259099144640384957656663318759207463<39> * 36099531273603138218699301565567581705151216702113889<53> * [2020671116...<490>] * 2606283565...<2714> * [1370593612...<63739>] (4.40%)
10^67184+1 = 1000000000...<67185> = 353 * 449 * 641 * 1409 * 10337 * 69857 * 186049 * 1343681 * 1364897 * 3031489 * 4630529 * 19725473 * 58627969 * 102918817 * 1581398209<10> * 40336502753<11> * 60988029857<11> * 754651871841089<15> * 49190086416352961<17> * 566395754939902969344353<24> * 648350377746145860356897<24> * 8274466617334672110426476083265843201<37> * 57060943016570586495482365104744705358198487226448999934446131233808207036744145484562761542433<95> * 32834183607181658456698862190332942753904274373750127864196636481293558631166688587638325415670849<98> * 627810998673389218825263319860513240289438361646700648804034810302457438784160932972184864281054744807682885907521<114> * 33857126287532892390194544682750180705056727269149496594755320455272870740814407021435721731880166393643173336787745221520888878951616858121601<143> * 5781027809699670982923066276961517370230745596931095554485247693107795262271528712840958833270594810840162223912128043002803675468602053212831240543425351530884548678958775494494557904673<187> * [1138438882...<3015>] * [1000000000...<3457>] * [1982565504...<4569>] * [7442242615...<55290>] (1.27%)
10^67185+1 = 1000000000...<67186> = 7 * 11 * 13 * 19 * 211 * 241 * 2161 * 9091 * 20903 * 29611 * 52579 * 134371 * 259783 * 671851 * 3762091 * 655107499 * 852443281 * 1019975797<10> * 127910923681<12> * 370813901761<12> * 8985695684401<13> * 38669150077988401<17> * 161726498359047552241<21> * 1182301776345283284253<22> * 915316299417054078680294371<27> * [1674125326...<1483>] * [1015451228...<2937>] * [8599648634...<5957>] * [9262974238...<8914>] * [2606769262...<11909>] * [3160417249...<35788>] (0.30%)
10^67186+1 = 1000000000...<67187> = 29 * 101 * 281 * 121499449 * 179485354055842039661<21> * [5516322014...<9576>] * [1009999999...<57577>] (0.05%)
10^67187+1 = 1000000000...<67188> = 11 * 14646767 * 457672436790241<15> * 7313451811316426693<19> * [1854335786...<67146>] (0.06%)
10^67188+1 = 1000000000...<67189> = 73 * 137 * 617 * 2377 * 4073 * 16369 * 432961 * 32384617 * 39620561 * 99990001 * 2169736697<10> * 6796152793<10> * 24387741577<11> * 25252072297<11> * 4645666825273<13> * 126197002179733470481<21> * 283830826522232279893972777<27> * 16205834846012967584927082656402106953<38> * [2855712665...<2012>] * [1000099999...<4065>] * [1000099999...<20321>] * [2631920236...<40610>] (0.27%)
10^67189+1 = 1000000000...<67190> = 11 * 268757 * 234075706609388087<18> * [1445077659...<67166>] (0.04%)
10^67190+1 = 1000000000...<67191> = 101 * 3541 * 27961 * 80629 * 403141 * 36497609 * 3254952361<10> * 72346429361<11> * 247337409161<12> * 1277924773921<13> * [2632798664...<13412>] * [1523136362...<26835>] * [2824060999...<26873>] (0.11%)
10^67191+1 = 1000000000...<67192> = 7 * 11 * 13 * 13572583 * 21635503 * 6832518409<10> * 240812651320085105424811<24> * [1744861736...<22366>] * [1184991652...<44776>] (0.08%)
10^67192+1 = 1000000000...<67193> = 17 * 593 * 1209457 * 5882353 * 20339201 * 4497832481<10> * 1686340623...<286> * [4916613931...<1801>] * [1838257284...<65073>] (0.47%)
10^67193+1 = 1000000000...<67194> = 11 * 59 * 19489 * 356819 * 909091 * 38329801 * 243720583 * 164148198649<12> * 5943603127859<13> * 13930433062853<14> * 2563963356465898129<19> * 867079764202799040379<21> * 873784950283761960265207<24> * 1932782378208168486700373<25> * 154083204930662557781201849<27> * 13569612563320403017443683179<29> * 66287629848519079879793946893<29> * 133497367767000665131131678430301773<36> * 573408944084407647616987278212508727<36> * 37597427372633848169498753071057309208493613<44> * 6656280510176649041177006666533233898159823895551612176879783493172755702305410407269034716016715927564139783<109> * 1444717414116629325014741879647282362357909367956352378595000668188348845124645807623208351032316317811617655604213036600335625808152140581460631346308342601069504206134844531691<178> * [2642818918...<1916>] * [9106867472...<9206>] * [5538233178...<55429>] (0.96%)
10^67194+1 = 1000000000...<67195> = 101 * 9901 * 24094424521<11> * 999999000001<12> * 1986554850917488997269<22> * [4984000363...<7443>] * [4191836950...<14918>] * [1000000999...<44785>] (0.07%)
10^67195+1 = 1000000000...<67196> = 11 * 179 * 9091 * 22651 * 3816677 * 4600411 * 181288487 * 317384681 * 6760092011<10> * 153653579173<12> * 352415012896091<15> * 5709307758717571<16> * 12147237304901893<17> * 1564100988548914619<19> * 12331942624071394811<20> * 36117943403747426761<20> * 332073601264920920030201<24> * 154008305796493360639546122691<30> * 2646756758131654397378192081701748003041997<43> * 14368738499109009207276617717065856029384012938971<50> * 80855294634541341009709576571189264494703351351547829906051<59> * 630859966703635424146382843107732835487998079409968772589281<60> * 999882306178377345161889846655198592766347086896770989636138585751423<69> * 4180967272673252032291190917188955510245874180001164839931077197586653<70> * 4578874233436492255420074091728599390739701337128105672841258457419967593738672737760634060764636230914653052782313062339754313662352611<136> * [4339062946...<517>] * [1842648452...<13176>] * [9091000000...<52800>] (1.05%)
10^67196+1 = 1000000000...<67197> = 73 * 137 * 857 * 17977 * 17845889 * 4724110777<10> * 1174728377118274186697<22> * 35252297613924163416857<23> * 265992545707898899331089<24> * 610278304060012464870755221969<30> * [1073828389...<350>] * 1066349768...<579> * [1000099999...<66145>] (1.05%)
10^67197+1 = 1000000000...<67198> = 7 * 11 * 13^2 * 157 * 859 * 6397 * 89597 * 216451 * 1058313049<10> * 388847808493<12> * 768518982924689<15> * 838379285011997<15> * 154662419175740259929<21> * [7648352867...<1687>] * [1098901098...<3445>] * [1464396485...<20645>] * [9100000000...<41328>] (0.14%)
10^67198+1 = 1000000000...<67199> = 101 * 671981 * 26207221 * 99062748308873861<17> * 7707976682094295301<19> * [7362916863...<67147>] (0.08%)
10^67199+1 = 1000000000...<67200> = 11^2 * 23 * 2087 * 4093 * 8779 * 298693693 * 63325175080663<14> * 109337536248719887<18> * 2670502781396266997<19> * 1137747784110053703343<22> * 1309592359230077126689<22> * 3404193829806058997303<22> * 9615683031450065714899<22> * 69606016705406484991000471515023784726122029891<47> * 165459609176797865866134365329792270635207840943<48> * 2737869430252705432917439814481839640694075521336313521691938014929169431049<76> * 5290781804...<345> * [8399560307...<1459>] * [8842547538...<5882>] * [1435591623...<59187>] (1.00%)
10^67200+1 = 1000000000...<67201> = 257 * 15361 * 17921 * 434689 * 453377 * 859393 * 1881601 * 2380801 * 5644801 * 7710977 * 15936001 * 178913281 * 651770881 * 727912961 * 1144227841<10> * 1618982401<10> * 12939800833<11> * 26293388801<11> * 45501964033<11> * 372318643201<12> * 30094191703297<14> * 57134523801601<14> * 90890992281601<14> * 96377946470401<14> * 777753690470401<15> * 23592270259622401<17> * 33649448872371457<17> * 145778507161340929<18> * 363323163253785601<18> * 649171255871117414401<21> * 46557699107280397718952961<26> * 336490113384347841803678799361<30> * 8036845650724384999755715242923368926721<40> * 4560897401317754430626820629544566062629889<43> * 142018149548859447798990430842371897431582393270575475042667940048026473157944321<81> * 55871187633753621225794775009016131346430842253464047463157158784732544216230781165223702155223678309562822667655169<116> * 38425031666569023499290434804662265509189764624919574336880482034091688791929134441331363930601958862159411412508866084507001318401<131> * [1091116447...<409>] * [4829281873...<698>] * [6444392002...<1009>] * [3322900345...<1523>] * [9999999999...<2560>] * [5580045756...<3068>] * [2660530752...<5075>] * [3017190845...<6118>] * [3142058171...<15313>] * [3333030750...<30660>] (1.15%)