Factorizations of numbers of shape 100ⁿ + 3·10ⁿ + 43

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Sequence and Limitations

Contributors

Factorizations

• n = 1: 173
  173
  
  
• n = 2: 10343
  10343
  
  
• n = 3: 1003043
  971
  1033
  
  
• n = 4: 100030043
  100030043
  
  
• n = 5: 10000300043
  10000300043
  
  
• n = 6: 1000003000043
  359
  2785523677
  
  
• n = 7: 100000030000043
  4984333
  20062871
  
  
• n = 8: 10000000300000043
  1741
  1438709
  3992347
  
  
• n = 9: 1000000003000000043
  223
  1097
  86767
  47112259
  
  
• n = 10: 100000000030000000043
  144511
  10893767
  63521539
  
  
• n = 11: 10000000000300000000043
  43805935829
  228279565567
  
  
• n = 12: 1000000000003000000000043
  19973
  50067591248335252591
  
  
• n = 13: 100000000000030000000000043
  5243344889
  19071795221752387
  
  
• n = 14: 10000000000000300000000000043
  173
  19937
  53189
  104076589
  523744183
  
  
• n = 15: 1000000000000003000000000000043
  523
  4129
  554233
  161325001
  5179160513
  
  
• n = 16: 100000000000000030000000000000043
  379
  263852242744063403693931398417
  
  
• n = 17: 10000000000000000300000000000000043
  439
  103355740352297
  220394563500178021
  
  
• n = 18: 1000000000000000003000000000000000043
  3637
  7877
  76543
  456026807797841844114349
  
  
• n = 19: 100000000000000000030000000000000000043
  43
  43
  20815942615031
  2598166667930444982997
  
  
• n = 20: 10000000000000000000300000000000000000043
  784727959173727
  12743269668292970800899509
  
  
• n = 21: 1000000000000000000003000000000000000000043
  1361
  3833
  5413
  35413188282017132962286853441047
  
  
• n = 22: 100000000000000000000030000000000000000000043
  1000249
  99975106198556559416735232927001176707
  
  
• n = 23: 10000000000000000000000300000000000000000000043
  71
  3240394733
  43465405306389630916490524722418001
  
  
• n = 24: 1000000000000000000000003000000000000000000000043
  1000000000000000000000003000000000000000000000043
  
  
• n = 25: 100000000000000000000000030000000000000000000000043
  83
  1867
  645323662082717587005762933899497292867237563
  
  
• n = 26: 10000000000000000000000000300000000000000000000000043
  25255963
  181205271051773
  2185069427941840744379563506757
  
  
• n = 27: 1000000000000000000000000003000000000000000000000000043
  1000000000000000000000000003000000000000000000000000043
  
  
• n = 28: 100000000000000000000000000030000000000000000000000000043
  151
  623321
  4469391676004073047
  237718443596515247294726089139
  
  
• n = 29: 10000000000000000000000000000300000000000000000000000000043
  7873
  13463
  12625549393
  55607233249
  134380524025718662164529969501
  
  
• n = 30: 1000000000000000000000000000003000000000000000000000000000043
  971
  430289
  541166227227706901
  4422724026495170545843685160830797
  
  
• n = 31: 100000000000000000000000000000030000000000000000000000000000043
  251
  11799331553
  33765164807212874482781301006084380152441285532081
  
  
• n = 32: 10000000000000000000000000000000300000000000000000000000000000043
  2652662960264527497349
  3769796672172323437876806893596528523271407
  
  
• n = 33: 1000000000000000000000000000000003000000000000000000000000000000043
  131
  1129
  161217227
  14454062096567
  2901572318862706448916737571786187333573
  
  
• n = 34: 100000000000000000000000000000000030000000000000000000000000000000043
  71
  593
  2720381
  1649841605764490653
  529194075557891565107345895286259268517
  
  
• n = 35: 10000000000000000000000000000000000300000000000000000000000000000000043
  13504178153
  740511557734334638261344033380955374900555046017245770854131
  
  
• n = 36: 1000000000000000000000000000000000003000000000000000000000000000000000043
  599419741
  156620790089632003
  10651715245307487190342153954720950047884131341
  
  
• n = 37: 100000000000000000000000000000000000030000000000000000000000000000000000043
  47
  180415789
  14893125529414208339
  791847864947238368012502406630778577134203139
  
  
• n = 38: 10000000000000000000000000000000000000300000000000000000000000000000000000043
  40597
  939153942075681814157581091
  262282474614868936814416555741612148342320309
  
  
• n = 39: 1000000000000000000000000000000000000003000000000000000000000000000000000000043
  179
  523
  19553
  683965349
  7463215305184980539773
  107021691078843017190370535489235510859
  
  
• n = 40: 100000000000000000000000000000000000000030000000000000000000000000000000000000043
  43
  101400229315121216892611
  22934675898233269583774031026130772491567268444456448491
  
  
• n = 41: 10000000000000000000000000000000000000000300000000000000000000000000000000000000043
  10000000000000000000000000000000000000000300000000000000000000000000000000000000043
  
  
• n = 42: 1000000000000000000000000000000000000000003000000000000000000000000000000000000000043
  61
  6823
  24076229
  99794436050932918779368417870924987885375849973469116378355129414198189
  
  
• n = 43: 100000000000000000000000000000000000000000030000000000000000000000000000000000000000043
  1531
  348253
  26413538119
  7100735959347766889326430670961384222609920213149393133515818418579
  
  
• n = 44: 10000000000000000000000000000000000000000000300000000000000000000000000000000000000000043
  173
  2099
  77133410689
  357025242530602960441569528488123211831197907303089182047798247283875181
  
  
• n = 45: 1000000000000000000000000000000000000000000003000000000000000000000000000000000000000000043
  85910108129
  12031365209427973301406379074191704637
  967477390262559216507513332973877837881191
  
  
• n = 46: 100000000000000000000000000000000000000000000030000000000000000000000000000000000000000000043
  47
  61283
  34718593646983422913091374825061686261262277807076413194315455224992110199593723017143
  
  
• n = 47: 10000000000000000000000000000000000000000000000300000000000000000000000000000000000000000000043
  3922739405920213
  2549238928517138445466646663387470336930073426364290018930033306357330474022911
  
  
• n = 48: 1000000000000000000000000000000000000000000000003000000000000000000000000000000000000000000000043
  1562444501
  354348816016096651090397090454805745750063
  1806194078460798252434116385859384957836902961
  
  
• n = 49: 100000000000000000000000000000000000000000000000030000000000000000000000000000000000000000000000043
  373
  77243
  9716689
  1112078119
  923490794552415664820561
  347813044884605515634134681364203716235053021722987
  
  
• n = 50: 10000000000000000000000000000000000000000000000000300000000000000000000000000000000000000000000000043
  409
  434521
  5804368379197
  319674538435042071673738553
  30325146481784505970230006935976700020453158930452207
  
  
• n = 51: 1000000000000000000000000000000000000000000000000003000000000000000000000000000000000000000000000000043
  419
  86851
  34069354867
  52341246300077513
  96010923797267686734661
  160502771497280996540441917089229607752974437
  
  
• n = 52: 100000000000000000000000000000000000000000000000000030000000000000000000000000000000000000000000000000043
  97
  691
  1491936085458098975039909290286004147582317573515151058528652632521222790815641457919942709654318409
  
  
• n = 53: 10000000000000000000000000000000000000000000000000000300000000000000000000000000000000000000000000000000043
  397
  9738149
  2586622660689860804634011474516267761759377464777375376919194507917843762441954076163372735445131
  
  
• n = 54: 1000000000000000000000000000000000000000000000000000003000000000000000000000000000000000000000000000000000043
  1297993
  418490567814973678813731643
  1840949925070475652695892021774964575379754733191328418249520087373217072457
  
  
• n = 55: 100000000000000000000000000000000000000000000000000000030000000000000000000000000000000000000000000000000000043
  8377
  57059
  803987382506709992020606283955973842196339
  260218455814661095145996488253039493775085818534037916202459
  
  
• n = 56: 10000000000000000000000000000000000000000000000000000000300000000000000000000000000000000000000000000000000000043
  53067523470583
  188439168553688302815635419729498911743689518256191370204836891197978869851933912356666500553696621
  
  
• n = 57: 1000000000000000000000000000000000000000000000000000000003000000000000000000000000000000000000000000000000000000043
  113
  173
  24953
  129054106894933089313
  15884767299900424994189804785447157410819727817953425143003872843480134226316119478463
  
  
• n = 58: 100000000000000000000000000000000000000000000000000000000030000000000000000000000000000000000000000000000000000000043
  71
  2179
  19183962089
  1123341196747570583606925787517766169 (Beschorner, Apr 16, 2009)
  29994002773188966495865264645532598238793995911654851919591709247
  
  
• n = 59: 10000000000000000000000000000000000000000000000000000000000300000000000000000000000000000000000000000000000000000000043
  61
  263
  2514331
  60256457
  10780026487
  2860984987192667501801
  133399120894380798723473119659646140657069824334295175708206559582869
  
  
• n = 60: 1000000000000000000000000000000000000000000000000000000000003000000000000000000000000000000000000000000000000000000000043
  383
  15113104187
  2254133904559182253
  4726813308352953437549
  753275921336226589092432118025269
  21525106232104706704183772707765531
  
  
• n = 61: 100000000000000000000000000000000000000000000000000000000000030000000000000000000000000000000000000000000000000000000000043
  43
  347
  1187
  1237
  302500013
  5493220476349
  1060746835043057
  14278588412472017
  86358459386559671
  2100038793703256811930080260244266301516339
  
  
• n = 62: 10000000000000000000000000000000000000000000000000000000000000300000000000000000000000000000000000000000000000000000000000043
  653
  773
  6577
  7446366947
  5847888596863501755237473317521047354118255011209 (Reich, May 2, 2009 (Msieve - QS))
  69172896024257941826353339384095270682724989552799914657
  
  
• n = 63: 1000000000000000000000000000000000000000000000000000000000000003000000000000000000000000000000000000000000000000000000000000043
  1298582568733954237
  23823751610513885291
  32323641298125213600601126540776044647575644069283419614005965228522884607720465274467029
  
  
• n = 64: 100000000000000000000000000000000000000000000000000000000000000030000000000000000000000000000000000000000000000000000000000000043
  1613
  9437
  549023
  23019262586221742549
  9019229307272434914208318762699312127
  57634204515291730906976017478652124634200881587901658554007
  
  
• n = 65: 10000000000000000000000000000000000000000000000000000000000000000300000000000000000000000000000000000000000000000000000000000000043
  266983
  22937893361
  7710532887941951
  7922538210257079228033402497884274752301
  26730933500002425561839881396507483502369269214548192090111
  
  
• n = 66: 1000000000000000000000000000000000000000000000000000000000000000003000000000000000000000000000000000000000000000000000000000000000043
  83
  151
  677
  22093
  12960923711537
  16634915806853
  338664909437537989
  73059187452207964908466486419240042451810674113040881194518462143080446391559
  
  
• n = 67: 100000000000000000000000000000000000000000000000000000000000000000030000000000000000000000000000000000000000000000000000000000000000043
  144839
  690421778664586195706957380263603035094139009520916327784643638799149400368685229806889028507515241060764020740270231084169319037
  
  
• n = 68: 10000000000000000000000000000000000000000000000000000000000000000000300000000000000000000000000000000000000000000000000000000000000000043
  563
  114891152895460255108279
  154598408103433973370974616918158776587175056058771658370221825133140225575851629618808361538345503774264854559
  
  
• n = 69: 1000000000000000000000000000000000000000000000000000000000000000000003000000000000000000000000000000000000000000000000000000000000000000043
  71
  14084507042253521126760563380281690140845070422535211267605633802816943661971830985915492957746478873239436619718309859154929577464788733
  
  
• n = 70: 100000000000000000000000000000000000000000000000000000000000000000000030000000000000000000000000000000000000000000000000000000000000000000043
  103171
  444799843307
  2353773884249
  3472359044997903528777380719466857836836961803 (Reich, May 29, 2009 (Msieve - QS))
  266617326486112397392865887349682222491538425059591523533915216777
  
  
• n = 71: 10000000000000000000000000000000000000000000000000000000000000000000000300000000000000000000000000000000000000000000000000000000000000000000043
  1069
  1381
  8597
  144304453
  5460117096046807672605068974197912950658174109002798888224886984616177776684295218499285494693682035337366894832271756485107
  
  
• n = 72: 1000000000000000000000000000000000000000000000000000000000000000000000003000000000000000000000000000000000000000000000000000000000000000000000043
  113
  577
  260189
  12497447
  4716670170418176039476653405677148717351089532152192434553968813465235239557214424891642784082909019741544644288529310723607121
  
  
• n = 73: 100000000000000000000000000000000000000000000000000000000000000000000000030000000000000000000000000000000000000000000000000000000000000000000000043
  2579
  3377704697
  11479605934090956489942918936728612433527896150073203669717449086871072920335947222176838625992135013811650340716149526742552980882961
  
  
• n = 74: 10000000000000000000000000000000000000000000000000000000000000000000000000300000000000000000000000000000000000000000000000000000000000000000000000043
  1592993009
  18772242202033409029877369 (Beschorner, Apr 23, 2009)
  334402858553824025545072883666358351977919369860808847156382421152872810459810384602097751110071040260338095946483
  
  
• n = 75: 1000000000000000000000000000000000000000000000000000000000000000000000000003000000000000000000000000000000000000000000000000000000000000000000000000043
  17033
  58709563787941055597956907180179651265191099630129748135971349732871484765044325720659895496976457464921035636705219280220747959842658369048317971
  
  
• n = 76: 100000000000000000000000000000000000000000000000000000000000000000000000000030000000000000000000000000000000000000000000000000000000000000000000000000043
  2339
  231307961
  267581597
  690753281112700490710960690969973041470651250070966421343194461569938028162625168186787290200075394135218039535347172821611353429461
  
  
• n = 77: 10000000000000000000000000000000000000000000000000000000000000000000000000000300000000000000000000000000000000000000000000000000000000000000000000000000043
  13999
  18225950483085621732560207714655019643
  39193387417648507658856037766785728007753223281041162230454524100851140229331621223279022393833579021850644923199
  
  
• n = 78: 1000000000000000000000000000000000000000000000000000000000000000000000000000003000000000000000000000000000000000000000000000000000000000000000000000000000043
  167
  1093147409
  50002965033923197483051889208299 (Beschorner, Apr 23, 2009)
  109549157414118707632077353385573533446937738446376211663798886736244294377928076509942648615635251809665481638119
  
  
• n = 79: 100000000000000000000000000000000000000000000000000000000000000000000000000000030000000000000000000000000000000000000000000000000000000000000000000000000000043
  2410747
  5629188280686288161095090679477024911 (Beschorner, Apr 23, 2009)
  7368898765097975138771462668528751202031181404498741627916572658034488818628573166053196931865272915058061160531679
  
  
• n = 80: 10000000000000000000000000000000000000000000000000000000000000000000000000000000300000000000000000000000000000000000000000000000000000000000000000000000000000043
  9672469
  70875829
  14806993583576716115603731429
  985139229683460383190905993062777345631159680173504103493317705583561462891611752184634703904086281601274404168936167
  
  
• n = 81: 1000000000000000000000000000000000000000000000000000000000000000000000000000000003000000000000000000000000000000000000000000000000000000000000000000000000000000043
  251
  487
  2609
  73327
  1376957
  796891423
  75250951003
  129059181210887893929642685111138169 (Beschorner, Apr 23, 2009)
  4012720327312026731277795769489582170405745813781808718967380113483916727441008305383249
  
  
• n = 82: 100000000000000000000000000000000000000000000000000000000000000000000000000000000030000000000000000000000000000000000000000000000000000000000000000000000000000000043
  43
  98818193
  3589928098674410789039779961817399563030703839013703237339508067896502383519 (Backstrom, Sep 5, 2009)
  6555546254236002052829052284508745469025961545548611693534411800947075526699503
  
  
• n = 83: 10000000000000000000000000000000000000000000000000000000000000000000000000000000000300000000000000000000000000000000000000000000000000000000000000000000000000000000043
  47
  119237
  152311
  4606429
  4688951
  106769491022142781570165069
  128593175148914312081681670925189 (Beschorner, Apr 23, 2009)
  39505236282985634587040958863408316230064590954095889792001282260558053099596374053
  
  
• n = 84: 1000000000000000000000000000000000000000000000000000000000000000000000000000000000003000000000000000000000000000000000000000000000000000000000000000000000000000000000043
  196630727410485047
  5085675129057557752009315108015859308948697091583283185301312023665971721722864227170960705114564917038091811790269085700711670630686026745526535479469
  
  
• n = 85: 100000000000000000000000000000000000000000000000000000000000000000000000000000000000030000000000000000000000000000000000000000000000000000000000000000000000000000000000043
  1277
  220959944657
  36258917928972297432321444211156315000404356182356022474558313231791 (Backstrom, Sep 4, 2009)
  9774188512942302617247991569645515337090204547446408271946737058056509866671340605916057
  
  
• n = 86: 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000300000000000000000000000000000000000000000000000000000000000000000000000000000000000043
  37547
  26996341
  3973214095034196391019
  265475490007124460294947
  9353054254267709848529697184270034047392952858752631560158734525122239939143230365284100484741261649291273060062013
  
  
• n = 87: 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000003000000000000000000000000000000000000000000000000000000000000000000000000000000000000043
  173
  227
  2377
  2663
  856944065227
  138086610636463
  33995673237136645146517383337206538672983992390882654828594103469218066329442044712281493182079081768643205435514017205941514679869986983
  
  
• n = 88: 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000030000000000000000000000000000000000000000000000000000000000000000000000000000000000000043
  97
  456775088182257349
  9995065985695825325845317795009349553099 (Beschorner, Apr 23, 2009)
  225808450176808926800778808393827385977469600878034707942362158121159462070412379767965156969069554391803580625246669
  
  
• n = 89: 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000300000000000000000000000000000000000000000000000000000000000000000000000000000000000000043
  65899
  58201917131
  2607257259846735390824416935564494577167341706389145261080074296511867632227692500097388702342910673426935362466284511845367486853521336012737961330023098442378147
  
  
• n = 90: 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003000000000000000000000000000000000000000000000000000000000000000000000000000000000000000043
  143667757
  300511286612924567
  188512248724564895417423
  122868434998912853758265015516042665844244752725316702028762485240266970774133250595412806183117758028412424739256791513987991218639
  
  
• n = 91: 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000030000000000000000000000000000000000000000000000000000000000000000000000000000000000000000043
  9935729
  9493525513
  14507790757487
  30158534424326963490256860356242757 (Beschorner, Apr 23, 2009)
  707663971698972920606481822975229148335111447 (Reich, Aug 6, 2009 (Msieve - QS))
  3424003019815467411947647876599938948083134485648420184095332699491509983
  
  
• n = 92: 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000043
  47
  347
  35569551134042927689
  2198907354302504309163804734481545788510831390922123208029532348711827573 (Backstrom, Sep 4, 2009)
  7839481702445976862342729613396785687842902353080584833598810168882245111503431946272491
  
  
• n = 93: 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000043
  71
  1151
  648709
  12868657
  36779695785492372638776884349 (Beschorner, May 14, 2009)
  9290854555717378834116897301901
  66166126238392153294935868258727689 (Beschorner, May 14, 2009)
  64831142578402738124425398406045670206646046187827460129050859148160159031
  
  
• n = 94: 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000030000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000043
  19307536319
  23891504779
  81750939197791
  262349456249677
  1741035642942643423430027
  41609272285111058412556618395329177368490274203 (Reich, Aug 3, 2009 (Msieve - QS))
  139527217558069530156249425564119982099867254855660912290666866079229
  
  
• n = 95: 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000043
  227
  313
  38380207
  104719650587
  37595105872924630478594297
  931457396898238264435483547420663026005027002091208002036129876074549433699902396887519339570948644482698386583530354554280107217958922743141
  
  
• n = 96: 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000043
  7559
  58099
  24345521
  156734329
  1052449476694153
  2410675705214228249417
  37993013289605917207751176596815197860980689077587293193051747273 (Backstrom, Sep 2, 2009)
  6190703556265242528012156331403117242215839951768808243772916498639
  
  
• n = 97: 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000030000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000043
  1201
  37948381
  406239690189438736793280486814126862537 (Backstrom, Sep 1, 2009)
  330141492368136390917078375275891561974086199361511558939785627 (Backstrom, Sep 1, 2009)
  16359923852541995191519545632179468648197984425303585141376088193546709352854763597
  
  
• n = 98: 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000043
  544177
  18376373863650981206482449644141520130398748936467362641199462674828226845309522453172405301951387691872313603845807522184877346892647061525937332889850177423889653550223548588051314186376859
  
  
• n = 99: 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000043
  1492709
  2336801
  7250599
  73342546865144876183125320501055875096068809279525114230312698030217034395523176011 (Backstrom, Aug 29, 2009)
  539104857578233961628264272411422182367393412649921326048689819108298739736557625668196614256843
  
  
• n = 100: 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000030000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000043
  173
  21599
  6742686007
  125708457418799
  54782251462284435841481
  576345547253448530933298273386717136453250494267881619724068106271933559854081032975866899718699876104628326372228591552131106986522007838932142473