10^2001+1 = 1000000000...<2002> = 7 * 11 * 13 * 47 * 59 * 139 * 2531 * 12007 * 26681 * 31051 * 976489 * 2628957823<10> * 6652516597<10> * 37832309369<11> * 638453709757<12> * 135080726389891<15> * 143574021480139<15> * 549797184491917<15> * 24649445347649059192745899<26> * 154083204930662557781201849<27> * 1274194732898148471766404179653<31> * [1089752138...<602>] * [4437822634...<1203>] (9.86%)
10^2002+1 = 1000000000...<2003> = 29 * 89 * 101 * 281 * 521 * 120121 * 121499449 * 1052788969<10> * 1056689261<10> * 39511854229<11> * 654721485601<12> * 17576772101461<14> * 1900381976777332243781<22> * 754309323029578981494450523147961<33> * 4832227158939716614468345433242909<34> * 3571618567996393297210217238290456648947344377957590363519828421<64> * 431916413820617754546053476804635449461410533962843828981966782964481<69> * 40520191245153663291616075979301737566653577978261825599617472901135361<71> * 389057640102575795238314817222406419443832674379928206992954147805827425053833398395365869<90> * 25561948931738399180959860493035633005346674997219855227412314112685523898853595360610683149167147379131162769<110> * [8242513881...<1435>] (28.33%)
10^2003+1 = 1000000000...<2004> = 11 * 4007 * 41005460154133<14> * 15893884505804386451<20> * 26812925200960363811<20> * [1298290959...<1947>] (2.84%)
10^2004+1 = 1000000000...<2005> = 73 * 137 * 224449 * 705409 * 99990001 * 2205206684756014505809<22> * 1921752617028724103640763466297<31> * [3286248647...<623>] * [4535175804...<1307>] (3.73%)
10^2005+1 = 1000000000...<2006> = 11 * 4813 * 9091 * 12061085521<11> * 146420963398401154361<21> * 4488792458298882059329<22> * 1292945277584884163181284041<28> * 2971245460182291007178927517460929280931723051<46> * [1174186273...<320>] * 5810385374...<1553> (84.09%)
10^2006+1 = 1000000000...<2007> = 101 * 28559389 * 430148941 * 1491383821<10> * 38447934809<11> * 2324557465671829<16> * 6039088599068831748114461<25> * 230175856669373992253976277974612031182496625023886807386072581333871027940087154579555293851089822885094561<108> * [4349876787...<1821>] (9.24%)
10^2007+1 = 1000000000...<2008> = 7 * 11 * 13 * 19 * 52579 * 108379 * 208729 * 1697477 * 6635143 * 5156432569<10> * 9788817308832037247383<22> * 30342571174416055157303235536809<32> * 1966032824334071843648738236716922141567459089390154109618864643162638011<73> * 253093223170974042778078357371021297932776085452885919633889326945731506967967386342851064208779696417921593338374442943683661653<129> * [1098901098...<445>] * [4686580139...<1267>] (14.76%)
10^2008+1 = 1000000000...<2009> = 17 * 5882353 * 144261921121729<15> * [6931836081...<1986>] (1.10%)
10^2009+1 = 1000000000...<2010> = 11 * 197 * 4019 * 909091 * 9295490317<10> * 257737121251<12> * 19214818177409<14> * 2670502781396266997<19> * 3404193829806058997303<22> * 5076141624365532994918781726395939035533<40> * 5724747847...<227> * [1038562796...<1656>] (17.62%)
10^2010+1 = 1000000000...<2011> = 61 * 101 * 269 * 3541 * 4021 * 9901 * 24121 * 27961 * 1963369 * 4188901 * 39526741 * 260587121 * 10076053621<11> * 36633267373561<14> * 99908656408081<14> * 213172394349469<15> * 28120888763986481<17> * 741560771027460361<18> * 94927228208573594069<20> * 1395068152979602616341<22> * 411108592242640071999067201<27> * 2302527353565357450759725122262880394277261<43> * 16071030565277594576986582552521799177065559188277159741<56> * 2724793634966652364625335678635927602947729873812054161996498021<64> * 599544315766066452392678279212562145297975293811672567632442645781<66> * 1728698150280068137198270521277194937031098932707466058506795177976772363213163863959865690898047286154112976061009434446365564534720661<136> * 5869910682...<217> * 1272961120...<234> * [1556474887...<475>] * [6906107531...<515>] (50.79%)
10^2011+1 = 1000000000...<2012> = 11 * 24220872147369299<17> * [3753336806...<1994>] (0.87%)
10^2012+1 = 1000000000...<2013> = 73 * 137 * 52313 * 3466233361<10> * 671993811416332376336511771193<30> * [8205855689...<1964>] (2.39%)
10^2013+1 = 1000000000...<2014> = 7 * 11^2 * 13 * 23 * 367 * 4093 * 8053 * 8779 * 81131 * 10334743 * 51745081 * 599144041 * 183411838171<12> * 40498340376691<14> * 80378537928632188367<20> * 42936744040512685057308971520417028077990465463<47> * 33277993916065498965234812212436587255656671587921<50> * 11205222530116836855321528257890437575145023592596037161<56> * [1368524519...<581>] * [1093412443...<1190>] (12.11%)
10^2014+1 = 1000000000...<2015> = 101 * 1061 * 5051749 * 722817036322379041<18> * 1369778187490592461<19> * 245391150214875249502685807421982149521<39> * 75277048352808729626679875852901448034540173569840168229<56> * [1009999999...<1873>] (7.05%)
10^2015+1 = 1000000000...<2016> = 11 * 131 * 859 * 9091 * 11161 * 195886211 * 1058313049<10> * 22787296481<11> * 45029785321<11> * 3925963357681<13> * 5167617497664851<16> * 909090909090909090909090909091<30> * 35065183927133465514193983196961<32> * 8396862596258693901610602298557167100076327481<46> * 4857900688365130469291831549890842547443917376935406225054646143856579892970236911030721<88> * [1601447471...<321>] * [8859699224...<1419>] (13.69%)
10^2016+1 = 1000000000...<2017> = 193 * 577 * 769 * 12097 * 19841 * 205633 * 976193 * 1342657 * 2140993 * 4546753 * 6187457 * 10418689 * 317752351489<12> * 303778646805313<15> * 834427406578561<15> * 1253224535459902849<19> * 152928103893304997144442241<27> * 417067672004431016027567793820801<33> * 707285850117624346067550937755073<33> * 1466242627909963541642846554503169<34> * 1149577083859947625594601713224390529<37> * 53763491189967221358575546107279034709697<41> * 3389990665995333265366836872252020333482336548986397735456228533820597306799173793346530834741952645058293656375786341106265537<127> * 5454254688947363287683007582959957955687742850180556063819779071987764320758722919012384757528711422022983327967821005633305513155176634315060424546674322713747588377841693274817<178> * 5214609962...<326> * [7229769097...<1065>] (47.18%)
10^2017+1 = 1000000000...<2018> = 11 * 80681 * 5058637 * 2311391715047<13> * 16312925451211<14> * 148445520337769<15> * 45764260260272632237<20> * [8695680599...<1945>] (3.57%)
10^2018+1 = 1000000000...<2019> = 101 * 12109 * [8176554710...<2012>] (0.30%)
10^2019+1 = 1000000000...<2020> = 7 * 11 * 13 * 2693 * 36343 * 847451023 * 53120389367<11> * 2418135902717<13> * 1982160256400708939410214263<28> * [1325837329...<619>] * [3567986687...<1331>] (3.48%)
10^2020+1 = 1000000000...<2021> = 73 * 137 * 1074641 * 1676321 * 408815681 * 712421681 * 2519069281<10> * 5964848081<10> * 2631727693841<13> * 10583998483915493463601<23> * 278710178518122629663521331318131201<36> * [9999000099...<400>] * [1633923379...<1498>] (6.08%)
10^2021+1 = 1000000000...<2022> = 11 * 6299 * 37602727 * 57009401 * 2182600451<10> * 1172644955303<13> * 4855067598095567<16> * 1624393053107105478863<22> * 7306116556571817748755241<25> * 297262705009139006771611927<27> * [1535732872...<1892>] (6.42%)
10^2022+1 = 1000000000...<2023> = 101 * 8089 * 9901 * 5938136708249<13> * 31275833988360461<17> * 500886356409960490141<21> * 67079887303595804787649681<26> * 27059960733094256545658977321<29> * [1315786716...<619>] * [5564183616...<1290>] (5.64%)
10^2023+1 = 1000000000...<2024> = 11 * 103 * 4013 * 8093 * 909091 * 511438099 * 1868879293<10> * 21993833369<11> * 587063793048979091<18> * 5673320472670315859129<22> * 42323992639419349049079264521<29> * 103746647830421551242486430622636901002236971549990724717454338463<66> * 1136558791710654899629429576107642694020211020408036719308522808314581197380973<79> * 6923777301528230940787780295400313221683793149948747168301754689555692396138969010514764869002307736762791042459773879699664648964996271733<139> * [1235635734...<1629>] (19.52%)
10^2024+1 = 1000000000...<2025> = 17 * 5882353 * 10100113 * 1261547057<10> * 218524201166171139219321617<27> * 120553054891405588545727822543281066162803459003848166118314367809<66> * 9900879227786858424257223656804730798555422102713108259184822982673560177<73> * 829510285658710111215121966308351445187741335558528775675039806142270659943202818322753067885238020768017585089<111> * [3627413026...<1725>] (14.79%)
10^2025+1 = 1000000000...<2026> = 7 * 11 * 13 * 19 * 211 * 241 * 251 * 811 * 1459 * 2161 * 4051 * 5051 * 6481 * 9091 * 29611 * 52579 * 270001 * 371251 * 1931851 * 3762091 * 70541929 * 2458921051<10> * 14175966169<11> * 213872067091<12> * 577603663291<12> * 8985695684401<13> * 31023833790241<14> * 78875943472201<14> * 71764372708675651<17> * 456502382570032651<18> * 610600386089858349939139<24> * 115690846857912397278375911371<30> * 10000099999999989999899999000000000100001<41> * 8610583349234340055547908764091017276717091<43> * 1377206548249672561974389193550868011092077967769298773550347641588817070607865681921<85> * 36184868586619075547214474979916728567474724193812138011846129157788970353909164911894611<89> * 3703689986333387654119799556297939637260602734804685908570705293684097466301976659345706127014344391317072899730001<115> * [2693595438...<355>] * [1780554358...<1054>] (30.48%)
10^2026+1 = 1000000000...<2027> = 101 * 158029 * 2830992581689<13> * 32139764106711281<17> * [6885895349...<1990>] (1.78%)
10^2027+1 = 1000000000...<2028> = 11 * 680796329 * 16449075823228219<17> * 3840557516666373619<19> * [2113753469...<1983>] (2.20%)
10^2028+1 = 1000000000...<2029> = 73 * 137 * 313 * 4057 * 28393 * 152777 * 190633 * 1101673 * 1580801 * 99990001 * 37357747738793<14> * 127184409052793<15> * 183187794354414929<18> * 1358074433371719716641<22> * 291593563046646669491593<24> * 14365079587241523025573488668713<32> * 70299582392905445997961959643489<32> * 632527440202150745090622412245443923049201<42> * 7323941687838105624847742701467683590147273<43> * [3767618315...<538>] * [9000960863...<1208>] (13.93%)
10^2029+1 = 1000000000...<2030> = 11 * 109567 * 594457239016215094567010503<27> * [1395747710...<1997>] (1.62%)
10^2030+1 = 1000000000...<2031> = 29^2 * 101 * 281 * 349 * 421 * 3541 * 11369 * 27961 * 38861 * 68209 * 618049 * 2582161 * 3471301 * 5005981 * 13489841 * 121499449 * 60368344121<11> * 27690838620061<14> * 117513682863781<15> * 512592628798218592009<21> * 848654483879497562821<21> * 1767955366388381478541<22> * 14087942679857610940613213182901<32> * 396096831570425720680992129087061<33> * 618332557258791533720221794227287741<36> * 11811806375201836408679635736258669583187541<44> * 2004594328563924403139229874961691116225480361118012967681424919657782526297077161<82> * 2022907403453455435045739409943184658625113693600363497128797657397794468271632034457525101<91> * [2212002950...<273>] * [4127092593...<616>] * [9223913877...<652>] (24.14%)
10^2031+1 = 1000000000...<2032> = 7 * 11 * 13 * 16249 * 24373 * 629611 * 1620739 * 40215202479188743<17> * 1288273728898354139<19> * 1373109878288117159960471296998025386367<40> * [3162767257...<615>] * [1098686959...<1320>] (4.80%)
10^2032+1 = 1000000000...<2033> = 353 * 449 * 641 * 1409 * 69857 * 487681 * 238069121 * 896605378941211086401<21> * [9606379860...<1981>] (2.51%)
10^2033+1 = 1000000000...<2034> = 11 * 1499 * 28463 * 74687 * 392263 * 795653 * 51160368729973<14> * 286992818389601<15> * 909090909090909091<18> * 28901898237947700554025014807<29> * 9140689231828972552925524522037823147045937571379494322686226282352288670801988451<82> * [2592158912...<1852>] (8.93%)
10^2034+1 = 1000000000...<2035> = 101 * 6781 * 9901 * 20341 * 52743988481<11> * 999999000001<12> * 132305743681936841<18> * 4097628225636876001<19> * 62554557765317517282085861045655294434955453111717816503072219942390838369658841<80> * 226813030797815731197778256645639265718556459184651841552579161651406131077524640644151258260029762686434793845331341<117> * [1489454343...<445>] * [1199763324...<1322>] (13.21%)
10^2035+1 = 1000000000...<2036> = 11^2 * 23 * 331 * 4093 * 5171 * 7253 * 8779 * 9091 * 12211 * 240131 * 6039881 * 20163494891<11> * 33400699201<11> * 409038414731<12> * 422650073734453<15> * 49173925574833481<17> * 296557347313446299<18> * 318727841165674579776721<24> * 84713181371149698699040859437321<32> * 219750014263062386251162088588835607771<39> * 22369355044392829576198363935261212146051995578845131526611800779453430519897692892453842577603840415445414697342892679968594131<128> * [1444603573...<279>] * [1536838588...<1414>] (16.89%)
10^2036+1 = 1000000000...<2037> = 73 * 137 * 4073 * 39620561 * 2169736697<10> * [2855712665...<2012>] (1.21%)
10^2037+1 = 1000000000...<2038> = 7^2 * 11 * 13 * 127 * 2689 * 459691 * 909091 * 1935871099<10> * 220022910900703<15> * 268153090361731<15> * 102527361354613106010527<24> * 569893955922017649838601407<27> * 1850905383730046591101045759687<31> * 323338434891034089173475790125293<33> * 27422699366054621683295623079471066588881<41> * 120993298365129876163173210302328063293143<42> * 9082330292251962304688193151167683450110136179543368546373275157823981917087560492592244850476097147293654306654509712541945987920778472370936173919077<151> * [3718256519...<526>] * [2234546059...<1108>] (19.84%)
10^2038+1 = 1000000000...<2039> = 101 * 25650269 * 975094961584864121<18> * 5917737408786164921<19> * [6689352773...<1992>] (2.27%)
10^2039+1 = 1000000000...<2040> = 11 * 42733996617867198169<20> * [2127324802...<2019>] (1.01%)
10^2040+1 = 1000000000...<2041> = 17^2 * 54673 * 5070721 * 5882353 * 72547841 * 1132716961<10> * 5637065089<10> * 13355595217<11> * 17319002076001<14> * 174323368765921<15> * 417090345288481<15> * 9999999900000001<16> * 325944528033956870561<21> * 3031447252741466336597441<25> * 19721061166646717498359681<26> * 281259985248437790051014401<27> * 31388506438433752927908678241<29> * 1516395051122929541850783680941040161<37> * 440441087557478776852171834625638618412949059374084837579531425633661269203803741415744566525108430933975383194546209<117> * 3178246571075235723080972275640135632212436318968968029466533249264048115754831736073020454216579035062833710671458881<118> * 10209076607930569913922070622494428090671480292064954172591269153271836953190308682801647817951310297094548858967419962633393<125> * [5277324907...<409>] * [1384353472...<997>] (31.13%)
10^2041+1 = 1000000000...<2042> = 11 * 859 * 4397 * 73477 * 583727 * 3641773 * 1058313049<10> * 24847037583161<14> * 281711192047033009<18> * 56772494575417679209143612613936371702842084190817259161711159777577563483338093894447335028905724214106839545113870547643014663862360146330362411<146> * [3663977254...<1831>] (10.31%)
10^2042+1 = 1000000000...<2043> = 101 * 2655866041<10> * [3727970442...<2031>] (0.56%)
10^2043+1 = 1000000000...<2044> = 7 * 11 * 13 * 19 * 52579 * 36346333 * 7652709230329<13> * 3861904074787001<16> * 7036296586744962637<19> * 6476572499...<203> * [1098901098...<453>] * [1858980043...<1325>] (13.05%)
10^2044+1 = 1000000000...<2045> = 73^2 * 137 * 1753 * 7841 * 36793 * 468953 * 31395841 * 137548937 * 127522001020150503761<21> * 162393769017609303761<21> * 120458784794236800616285673<27> * 972234562027718778906635682891369717286635199884272325005809<60> * 14999165155859618821508723922939117714174412730158634078875737296006185810419004608104019977<92> * 7035824104334249358887740710881970075945291109469322153083026920245824611188573249681116336645956647224241<106> * [5225289894...<1682>] (17.72%)
10^2045+1 = 1000000000...<2046> = 11 * 4091 * 9091 * 53171 * 18601321 * 31661908159577184611<20> * 86626333310030790682115011<26> * 1358791302758702868906124409<28> * 89909332182322637174267412766780073091874834080069255427757<59> * 1399506617...<318> * [5270211671...<1576>] (22.95%)
10^2046+1 = 1000000000...<2047> = 89 * 101 * 5209 * 9901 * 2049349 * 3969241 * 183276589 * 1052788969<10> * 1056689261<10> * 5419170769<10> * 57283461787861<14> * 789390798020221<15> * 2361000305507449<16> * 5694051098461516747661<22> * 82154200322378494269088725509<29> * 139716865184144864008269344660199946429<39> * 483128549554512237305554588359039822397307149685578249<54> * 1387770812537486172424567765413032718466560432631753219117445147282909788805041<79> * [2056524992...<528>] * [2494431555...<1194>] (15.90%)
10^2047+1 = 1000000000...<2048> = 11 * 47 * 139 * 179 * 2531 * 73693 * 3560871533213<13> * 549797184491917<15> * 12147237304901893<17> * 4180967272673252032291190917188955510245874180001164839931077197586653<70> * [4191892556...<1919>] (6.27%)
10^2048+1 = 1000000000...<2049> = 106907803649<12> * 3835256936681473<16> * 9027276203313319937<19> * 969220351349023606432543884535631873<36> * [2787512819...<1967>] (3.98%)
10^2049+1 = 1000000000...<2050> = 7 * 11 * 13 * 1367 * 4099 * 405703 * 6399619427371<13> * [6650262685...<679>] * [1032567192...<1343>] (1.37%)
10^2050+1 = 1000000000...<2051> = 101 * 821 * 3541 * 27961 * 60101 * 68389 * 639601 * 7019801 * 59090021 * 107743901 * 141376201 * 568747901 * 11036695406441<14> * 14103673319201<14> * 1680588011350901<16> * 1073380218518144441<19> * 1266925593264677597290950641<28> * 1350059351915828990550200161<28> * 614939742141873776083575656007497578501<39> * 139074671904011778473984366758527524121792121<45> * 3061973722987905774729667496411417875958731844861<49> * 1447745997018511893740076606031686237538345362413531560645573104006506749609<76> * 377232254779363832566657848595478700324930619830395906281633432610242399995425182118630038629742647815490833575187477845254601<126> * 1524465857...<754> * [1231291627...<784>] (61.80%)
10^2051+1 = 1000000000...<2052> = 11 * 53327 * 566077 * 909091 * 48313357 * 1789099607<10> * 9090909090...<292> * [4215685891...<1725>] (15.91%)
10^2052+1 = 1000000000...<2053> = 73 * 137 * 457 * 3169 * 8209 * 27817 * 77977 * 98641 * 1403417 * 99990001 * 376102873 * 36120612721<11> * 3199044596370769<16> * 5240808656722481737<19> * 2717962829681813765353<22> * 13591271120229398317886003161009<32> * 1726290008991504500177463302688697<34> * 579276943498154282123686999881829009033<39> * 297478330786365628414805305290302483555043017<45> * 194720331913760546074906161375930267923071695863299678749187377754543757962841785054377649<90> * [4718347949...<406>] * 1218175173...<1293> (80.23%)
10^2053+1 = 1000000000...<2054> = 11 * 16235622114953027659<20> * [5599359868...<2033>] (0.99%)
10^2054+1 = 1000000000...<2055> = 101 * 521 * 5689 * 352120136681<12> * 7071655332326729<16> * 1900381976777332243781<22> * 507998564486483655774880939989709<33> * 646301962916453492325383567253991760083617720844121<51> * 530084044837791203267418958734478905892862260111193658629289735929681<69> * [4056107220...<1845>] (10.19%)
10^2055+1 = 1000000000...<2056> = 7 * 11 * 13 * 211 * 241 * 823 * 2161 * 9091 * 28771 * 364393423 * 13546296961<11> * 117651465889<12> * 222884971201<12> * 2491158127891<13> * 441651480271681<15> * 676321006412903<15> * 533823991710350917<18> * 36497963117203265504917<23> * 218801242136856556680173235529<30> * 248605498102525656309486086139544662977893<42> * 135238230631321944924974183810091904866809004766932500659<57> * 3244569580634956101009646791013296826459859399717968478099<58> * 203836449860090594223289898801537221687748623599366460589088063098888531417711686527248294546247282437382306667288672207557471524899<132> * [1266286589...<519>] * [3652955987...<1076>] (22.45%)
10^2056+1 = 1000000000...<2057> = 17 * 45233 * 5882353 * 13655953 * [1618909567...<2037>] (0.96%)
10^2057+1 = 1000000000...<2058> = 11^3 * 23 * 103 * 4013 * 4093 * 4357 * 8779 * 12343 * 25169 * 192611 * 1485397 * 21993833369<11> * 177775862969<12> * 1284680342573<13> * 288070990680554533<18> * 6315203673292075607<19> * 125797399492676917721<21> * 102502981431359171598893<24> * 423816243222182164658813939<27> * 52609226627306010745333111068274343<35> * 544471001372579296332291652675646774644208265246405598834086237345292487<72> * 55957395872359820769658435528889482277826574998014018514928782197341726428854387236670658714503098749571<104> * [7095245620...<1666>] (19.02%)
10^2058+1 = 1000000000...<2059> = 29 * 101 * 281 * 9901 * 226549 * 121499449 * 33472513460401<14> * 4458192223320340849<19> * 19724282640618577514664673690602927661<38> * 23742102289472351423104605582718329399560972065457968561934785062599221<71> * 999999999999990000000000000099999999999999000000000000009999999999999900000000000001<84> * 42119269296696900571911233210284860119181841417224327914548495484369630946481330639729038447921181<98> * [9999999999...<588>] * [1514643613...<1126>] (16.76%)
10^2059+1 = 1000000000...<2060> = 11 * 59 * 8237 * 290249 * 3172586595041<13> * 154083204930662557781201849<27> * 5126215301698730702342306263<28> * 31321069464181068355415209323405389541706979493156189716729115659<65> * [8211325945...<1916>] (6.95%)
10^2060+1 = 1000000000...<2061> = 73 * 137 * 669913 * 1676321 * 4345108561<10> * 5964848081<10> * 38450569246994805922293218161<29> * 11473211017374556816173911142176636257510145503232608049<56> * [3383377151...<319>] * [2301668614...<1623>] (5.78%)
10^2061+1 = 1000000000...<2062> = 7 * 11 * 13 * 19 * 52579 * 931573 * 7447081 * 366977539 * 68677493407257949129<20> * 2317091604522004723965449<25> * 14333485763997084637130491135368291169<38> * 22122368173743271094350225612207534262957<41> * 13270807703600518273110858480695033043595534787235597140531<59> * 1336395914067475494619360928220680511145198857935330550248985354190742963795052553003443246310484435548877<106> * [1029486629...<413>] * [4263470520...<1334>] (15.30%)
10^2062+1 = 1000000000...<2063> = 101 * 229964882416767839952502442499721<33> * [4305435679...<2028>] (1.67%)
10^2063+1 = 1000000000...<2064> = 11 * 4127 * 742681 * [2965995805...<2053>] (0.51%)
10^2064+1 = 1000000000...<2065> = 97 * 353 * 449 * 641 * 1409 * 69857 * 206209 * 561409 * 248776673 * 66554101249<11> * 1815275379329<13> * 16330640885569<14> * 75118313082913<14> * 6992505952017481631182177<25> * [1355952881...<639>] * [2547345099...<1314>] (5.45%)
10^2065+1 = 1000000000...<2066> = 11 * 1889 * 9091 * 909091 * 3821903 * 4147571 * 265212793249617641<18> * 2242483881161926921<19> * 1090805842068098677837<22> * 2353867026803341982771<22> * 25602601418102182972721<23> * 57064640481098970747091<23> * 193428272579096534429098931<27> * 803454205095303821868753731<27> * 4411922770996074109644535362851087<34> * 1174468140649914584097264138153408637853221082957239399275046690523556598768034374284436218737159495708861498925726659983288086179744161<136> * [2878147064...<342>] * [7104201739...<1351>] (18.05%)
10^2066+1 = 1000000000...<2067> = 101 * 19386795617489<14> * 155640839781881<15> * 2810130567305576905370092905841<31> * [1167676473...<2007>] (2.90%)
10^2067+1 = 1000000000...<2068> = 7 * 11 * 13^2 * 157 * 859 * 3499 * 6397 * 216451 * 227371 * 2784091 * 299090767 * 1058313049<10> * 388847808493<12> * 26579875017931<14> * 54137839415767<14> * 107903069457446819028409<24> * 917813298871770308465539<24> * 26526333976234009593263527<26> * 8558521377558885170560719135529<31> * 9090909090909090909090909090909090909090909090909091<52> * [1099999999...<625>] * [4665697527...<1198>] (11.87%)
10^2068+1 = 1000000000...<2069> = 73 * 137 * 617 * 70313 * 79337 * 485041 * 118710721 * 6578404633<10> * 3399328015249<13> * 169905327561162104198557246291921<33> * 16205834846012967584927082656402106953<38> * 27851538931791182813585932285490596820623900747164894668499167046712090201879423948069199442816537475115348268729799177<119> * [2942052062...<1828>] (11.63%)
10^2069+1 = 1000000000...<2070> = 11 * 4139 * 252419 * [8701414287...<2059>] (0.49%)
10^2070+1 = 1000000000...<2071> = 61 * 101 * 181 * 461 * 829 * 1289 * 1381 * 3541 * 4969 * 9661 * 9901 * 27961 * 111781 * 194581 * 509681 * 1569889 * 4188901 * 39526741 * 93744372901<11> * 999999000001<12> * 4107757827661<13> * 18371524594609<14> * 6193371433274461<16> * 6563121116134321<16> * 536430531035337769<18> * 8225357978845859081<19> * 439120676164610394481<21> * 757108543129939106221<21> * 4999437541453012143121<22> * 63691382029918881694921<23> * 1105097795002994798105101<25> * 59483540558994759763795801<26> * 316699822269639096888937801<27> * 4181003300071669867932658901<28> * 354969305477178480614478251861<30> * 114061789660900413328637822705950861<36> * 53836677179343252802536411876638569921<38> * 73137716939443396538710479664316724061<38> * 19108466176791400681292709171992566565029<41> * 1088692523027573678098234350084974616005410140417841<52> * 870647723077443424730240122490394960350773424147330153671641266669332491181<75> * 204242351548925251893633264773947067986088317488293580275772558732707021165093113635856162801<93> * 1800376962...<256> * [8653452781...<507>] * [9048972901...<528>] (50.01%)
10^2071+1 = 1000000000...<2072> = 11 * 13840564569619<14> * 3338786746233023<16> * 909090909090909091<18> * 14060959683864286267405933000927102019<38> * 19364383321148719295180578853325741855858987848620134943<56> * [7947652673...<1931>] (6.76%)
10^2072+1 = 1000000000...<2073> = 17 * 113 * 593 * 12433 * 5882353 * 14048161 * 449271663137025121<18> * 73765755896403138401<20> * 119968369144846370226083377<27> * 1686340623...<286> * [1274370083...<1700>] (18.00%)
10^2073+1 = 1000000000...<2074> = 7 * 11 * 13 * 20731 * 2714249 * 21393892529359947893<20> * 11007981173468439545767<23> * 26578194229497643738821679856668807<35> * [5350996532...<608>] * [5300762620...<1376>] (4.32%)
10^2074+1 = 1000000000...<2075> = 101 * 1587221 * 28559389 * 1491383821<10> * 3476189921<10> * 81183810541<11> * 1299594596341421<16> * 2324557465671829<16> * 101444162656037151745878558385892753596849<42> * 75743388768260974116327848920184337528059461788181539337429709<62> * [2235681745...<1896>] (8.61%)
10^2075+1 = 1000000000...<2076> = 11 * 167 * 251 * 997 * 5051 * 9091 * 116201 * 3565183 * 374425451 * 878036251 * 2097307081<10> * 2293837801<10> * 78875943472201<14> * 7742098247001476863<19> * 1116561512383357283177155008001<31> * 166854369766695909292136736839975373279641<42> * 339253988826893206353360433625657116128281<42> * 943176903141330068482602900960294299878841<42> * [4466327524...<232>] * [4446789147...<1592>] (12.13%)
10^2076+1 = 1000000000...<2077> = 73 * 137 * 4153 * 99990001 * 3874978561<10> * 37491245201<11> * 8094332694001513<16> * 80776359618184961<17> * 28617637061173477921<20> * [3301736653...<661>] * [2682856042...<1328>] (4.24%)
10^2077+1 = 1000000000...<2078> = 11 * 20771 * 818339 * 1129889 * 43248598357<11> * 909090909090909090909090909091<30> * 24885676845841029876280206797458941379223<41> * 909090909090909090909090909090909090909090909090909090909090909091<66> * [5321630976...<1913>] (7.91%)
10^2078+1 = 1000000000...<2079> = 101 * 12913276426715383224960141674762983178849<41> * [7667295093...<2036>] (2.03%)
10^2079+1 = 1000000000...<2080> = 7^2 * 11^2 * 13 * 19 * 23 * 127 * 379 * 463 * 2689 * 4093 * 7129 * 8317 * 8779 * 24179 * 52579 * 459691 * 590437 * 644491 * 648649 * 909091 * 5274739 * 7444361 * 70541929 * 298719037 * 599144041 * 7093127053<10> * 14175966169<11> * 183411838171<12> * 659164043539<12> * 167940794674423<15> * 4539402627853030477<19> * 8642670625016390971<19> * 4924630160315726207887<22> * 136094982876222218559943<24> * 8927244623941181398233253<25> * 189772422673235585874485732659<30> * 1866763546567680996103417376059<31> * 1992239470584165788605948879953926371<37> * 63060936944326674212591995662102125143<38> * 4841193139246416682912992055944726358563520908223<49> * 141122524877886182282233539317796144938305111168717<51> * 112970308382439859401726947341740704554951737408511354573<57> * 74507557122096964531006066514788984423438931950911932421947947339<65> * 803956626149925031112757148192164970057208483589704631288984124647169634536861236854805849361<93> * [4603184964...<304>] * [7880009350...<1054>] (34.70%)
10^2080+1 = 1000000000...<2081> = 3329 * 19841 * 976193 * 1306241 * 6187457 * 6314881 * 9013889 * 580433318401<12> * 84612439325441<14> * 834427406578561<15> * 17678143277867879639053562401217<32> * 99999999999999999999999999999999000000000000000000000000000000009999999999999999999999999999999900000000000000000000000000000001<128> * [2985191378...<336>] * [1558799073...<1505>] (11.55%)
10^2081+1 = 1000000000...<2082> = 11 * 129023 * 4436693 * [1588110805...<2069>] (0.62%)
10^2082+1 = 1000000000...<2083> = 101 * 9901 * 15269 * 49426681 * 338134038961<12> * 19781941587245859018154654153249<32> * [6484373632...<688>] * [3054932956...<1334>] (2.92%)
10^2083+1 = 1000000000...<2084> = 11 * 5082521 * 8644451 * 368890969 * 14138383833678383791531<23> * [3967280660...<2038>] (2.18%)
10^2084+1 = 1000000000...<2085> = 73 * 137 * 22032327257<11> * 828666564715258461215590289<27> * [5476667601...<2043>] (1.98%)
10^2085+1 = 1000000000...<2086> = 7 * 11 * 13 * 211 * 241 * 557 * 2161 * 2503 * 9091 * 66721 * 12797731 * 226114511710447388251<21> * 1036412737512256032518509357<28> * 14572843015599488197037677669601442481<38> * 84191134295847459088496323909951690425296390505413654926185730285872463<71> * 652065570931334169846518762110895357104035953330623783530923329412897765703841859492780362601926814638167836591846272150911969126521<132> * 67527744060168452442748261636675305932823309390648327259608620272905373094176870057236763910064498862217790268164526184912017881807211<134> * [1648639858...<548>] * [4024549743...<1084>] (21.78%)
10^2086+1 = 1000000000...<2087> = 29 * 101 * 281 * 10729 * 37549 * 607921 * 121499449 * 136916416686052955621<21> * 12463671098882718881327685400890631793963396331809714158641277443477408779299864788341586092901595083520271865575162918829366361<128> * 8895507508554837180752614096475159767380814608706479209439730943455128688243292437421408196724545840220038878927488419955380770391177802169<139> * [2689818636...<1772>] (15.08%)
10^2087+1 = 1000000000...<2088> = 11 * 37567 * 475837 * 872797203419<12> * [5826788376...<2064>] (1.11%)
10^2088+1 = 1000000000...<2089> = 17 * 929 * 4177 * 5569 * 8929 * 23201 * 182353 * 4465073 * 5559649 * 5882353 * 1859034097<10> * 64167731975377<14> * 9999999900000001<16> * 76989567928473187633<20> * 10825430995573655349911905703088339464977<41> * 111994624258035614290513943330720125433979169<45> * 3114824318784041623490389014199610366824348609<46> * 4948797624251336428769758769452316283490536687091682910619153<61> * 369660333075000068856709492212454991557448976437779979434921265833995781602906344537626232976067313<99> * [2983528676...<398>] * [2606751293...<1298>] (18.83%)
10^2089+1 = 1000000000...<2090> = 11 * 83561 * 209743957 * 1598232232721<13> * 3245445674...<2063> (100.00%)
10^2090+1 = 1000000000...<2091> = 89 * 101 * 661 * 761 * 1901 * 3041 * 3541 * 12541 * 18041 * 27961 * 41801 * 74861 * 148721 * 1354321 * 388079561 * 417332341 * 1052788969<10> * 1056689261<10> * 1121407321<10> * 346589878855462661<18> * 722817036322379041<18> * 1369778187490592461<19> * 3041192204266706929561<22> * 1395900370916327245555441901<28> * 780548018657747948342675331841<30> * 36380545029953205956377406702261<32> * 458192181720740635773018630313952996833801<42> * 20547226778782170120539430083689730394727567536361<50> * 7944943878...<334> * [1549998065...<684>] * [2796127963...<721>] (32.84%)
10^2091+1 = 1000000000...<2092> = 7 * 11 * 13 * 103 * 739 * 4013 * 148339 * 16419517 * 21993833369<11> * 291078844423<12> * 184952466900411703<18> * 2670502781396266997<19> * 377526955309799110357<21> * 3404193829806058997303<22> * 6730074605536962252721<22> * 4204602490092321619678858043131<31> * 165525666279467793827703089744624213<36> * 61051796035522969271171274876554178504544683763248923853725596423<65> * [3593082690...<588>] * [3215855829...<1228>] (13.20%)
10^2092+1 = 1000000000...<2093> = 73 * 137 * 8369 * 37657 * [3172760474...<2080>] (0.60%)
10^2093+1 = 1000000000...<2094> = 11 * 47 * 139 * 859 * 967 * 2531 * 909091 * 3968329 * 21705503 * 1058313049<10> * 1569936761<10> * 32494323733<11> * 5046676603333<13> * 549797184491917<15> * 1203881882727712699967<22> * 23391028206417273637358380573<29> * 7775058388319250595762800404689<31> * 3309383964775818489317002654646529291847<40> * 1281657376897297354090423403366881099978010686253604381263<58> * 75691170432105638169937308505913924514228814615635050477687293<62> * 50678387411703889101759125785290439894389920385627096501794498837<65> * 348953870513908636566325964119116561382775844756670203139413369145466843559239862216107575333780861060309557540714055579224966141897413<135> * [4539355667...<1565>] (25.24%)
10^2094+1 = 1000000000...<2095> = 101 * 9901 * 18149 * 54104497406801<14> * [1008306480...<679>] * [1009998990...<1393>] (1.15%)
10^2095+1 = 1000000000...<2096> = 11 * 9091 * 1329753177464388901841<22> * 7090831499216936060878833844687099890109979<43> * 1574200835907997335817135918163629758761675764557540970547321<61> * [8144229641...<315>] * [8272129134...<1651>] (6.17%)
10^2096+1 = 1000000000...<2097> = 353 * 449 * 641 * 1409 * 69857 * [9999999999...<2080>] (0.76%)
10^2097+1 = 1000000000...<2098> = 7 * 11 * 13 * 19 * 52579 * 79687 * 552677 * 1309927 * 64264663 * 787932483841<12> * 131293689927974865167<21> * 22469589434122685267859016351677839053<38> * 110421163951010447109232550481508448746817791459<48> * 1134592082241812086025433183314893126820787225096226178690913133518090766822711174696961498979544523242604228920675194370887660714303521711888923919224666398211<160> * [3733501901...<421>] * [2480763481...<1368>] (14.74%)
10^2098+1 = 1000000000...<2099> = 101 * 20981 * [4719026785...<2092>] (0.30%)
10^2099+1 = 1000000000...<2100> = 11 * 3089729 * 2352027751607928778059757<25> * 965220747047393890044738973<27> * [1296038299...<2041>] (2.81%)
10^2100+1 = 1000000000...<2101> = 73 * 137 * 401 * 1201 * 1601 * 2801 * 7841 * 32401 * 33601 * 134401 * 851761 * 1676321 * 99990001 * 575794801 * 1599581201<10> * 5496338401<10> * 5964848081<10> * 11189053009<11> * 507893248801<12> * 179824257430154401<18> * 603812429055411913<18> * 5657636148160424401<19> * 127522001020150503761<21> * 148029423400750506553<21> * 67501680066009758096678991121<29> * 100009999999899989999000000010001<33> * 4711806100010561082466291127577601<34> * 4482637729513780747000872935673625025127940754401<49> * 1146780383632163283649175272843774050715065531735480891145232027761<67> * 129694419029057750551385771184564274499075700947656757821537291527196801<72> * 14612365731240570382005793941286349536257260783370326347124974631092755601<74> * 166913512232431273140362987966641859731500109846278942036790211593884632236221381121<84> * 1174155661036370531158387153086358732085761158354280249987966107746175275693416345665039841<91> * 1323226585...<425> * [1767522643...<942>] (55.18%)