Fibonacci sequence

Post Reply New Topic

Ah, thanks for that! Now I can enter the numbers without recourse to that webpage.

8,670,007,398,507,948,658,051,921

14,028,366,653,498,915,298,923,761

22,698,374,052,006,863,956,975,682

36,726,740,705,505,779,255,899,443

This is not an "official" post which should be added into the total, but I just wanted to give you a sneak preview of the 100,000th Fibonacci Number... this is a real Fibonacci number and not a random assortment of digits...

I made it here, and my powerful-ish i5 laptop took about 8 minutes and 20 seconds to calculate it:
http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/fibCalcX.html

25974069347221724166155034021275915414880485386517
69658472477070395253454351127368626555677283671674
47546375872230744321116383994738750910309656973821
88304493052287638531334921353026792789567010512765
78271635608073050532200243233114383986516137827238
12477745377833729991621463405005466986039086275099
66393664092118901252719601721050603003505868940285
58103675117658251368377438684936413457338834365158
77542537191241050033219599133006220436303521375652
54218239986908485563740801792517616293917549634585
58616300762819916081109836526352995440694284206571
04604490380564713634603300052085227770755444679472
37090309790190148604328468198579610159510018506082
64919234587313399150133919932363102301864172536477
13626647508013398243123170343145296418179005118795
73167668349799016820118499077566864568450662873924
85603914047605199550066288826345877189410680370091
87936500173301171002831047394745625609144493282137
48555738640805798130282666402703542944121049199958
03131876805899186513425175959911520563155337703996
94103551827527491995980225750790203779810308992298
49963044962558140455170002502997643221934621653662
10841876745428298261398234478366581588040819003307
38293950008213200937471548513102722081730543226486
69496309879147143629255542526240439996153269798768
07510646819068792118299167964409178271868561702918
10221267926740136265049978496884368097525470013100
45741864064482994858725517447466956518791269169932
44564817673322257149314967763345846623830333820239
70243685947828764187578857291071013370030009422933
35972927791914092128049015459762627910570552481588
84051779418192905216769576608748815567860128818354
35429230739781015478570132843861272862017665395344
49930019800629538936985500723286651317181135886613
53747268458543254898113717660519461693791688442534
25947812631038895204795659438071530191125396484711
26389007133628569101551453423329441284357220996286
74611942095166100230974070996553190050815866991144
54426478828726428450172533204864831945789203998489
38236367456182203750973485668474338872490493370316
33826571760729778891798913667325190623247118037280
17392157239082276922807729245666275053833750069260
77210593619421268920302567443565378008318306375933
34502350256972906515285327194367756015666039916404
88256396769307929050295148869341379912517485666707
47175149389790386533381395346848378086126737554383
82110844897653836848318258836339917310455850905663
84620250146313118310874290772926221594302042915947
40306101839816855066950261973761508571761199475875
72212987205312060791864980361596092339594104118635
16885488391191851790615115627529361584900087215019
22265117853150892510275280451512386037921846921215
33829287136924321527332714157478829590260157195485
31644479454675028584023600023834479052034510803328
20138038807089807348326201227952633606773669875783
32625485944906021917368867786241120562109836985019
72901771578011204045864915393511578349954610063663
57454485082418882790675313599505192062229760153765
29797308588164873117308237059828489404487403932053
59293597645416556079547247786202996923295613897198
94679422187273605123365595211331087787582288795975
80320459608479024506385194174312616377510459921102
48687949634170686209290889306852523480569259983337
75103901013166178123051145719327066291671254465121
51746802548190358351688971707570677865618800822034
68363210181302623299602759940357999777404624495211
45315883703579044832931500072461734173558055678321
53454341170020258560809166294198637401514569572272
83692196322951118776253075340259478144820465746028
84855000628069348113982760168555840795421620575435
57291510641537592939022884356120792643705560062367
98654438246437394697247194599655579550583803482559
78396827760847315302517889517186307227611036305093
60074262261717363058613291544024695432904616258691
77463057850767493748799232918175016348406881346553
43709975893536074051729094126976575932951568186247
47127636468836551757018353417274662607306510451195
76286634992284867878059108511898565355543495876166
40164475880286336297040462890970677362565843002353
14749461233912068632146637087844699210427541569410
91224656857120471724113337848981676409692498163342
11768571503116710400681753031921154156119580425706
58693127276213710697472226029655524611053715554532
49975084327520019921430191050536299600704296329780
51030666506387862681576587726837451289768507963663
71059380911225428835839194121154773759981301921650
95214013330607098731373292651816922684506344395405
67298120315463923249817937804691037934221694952291
00793029949237507299325063050942813902793084134473
06141164335561476409310442591848136393054236937897
65205264563476483182726333715121120306292338892864
87949209737847861884868260804647319539200840398308
00880386904955741975621929392211082576639768136104
44900247209483403267967688376213967440757138872928
63079821849314343879778088737958896840946143415927
13175783651145782893558185990292353438888884658745
21308381377794436361197628390368945957601203165022
79857901545344747352706972851454599861422902737291
13146378204551622544753535677362279364854503571020
86445412089842350389087702230398493802147348096874
33336225449150117411751570704561050895274000206380
49796796040261781866448124854726963082347337724554
33905198413087697812765659167642290229481817630757
10255793365008152286383634493138089971785087070863
63220586901893837776606300606675773242727292924742
12952650007066467227300099561241914091389846752249
55790729398495608750456694217771551107346630456603
94413623588844367621527392859707228793735596672392
46138274687032178584599482575147454064364609970593
16120596841560473234396652457231650317792833860590
38836041769142873273570398680334260467007171736357
30911229813069032861371225979370966057751729645282
63757434075792282180744352908669606854021718597891
16633386385858973620911424843217864503947919542420
81916260885710691104339948014730131008698488664307
21216762473119618190737820766582968280796079482259
54903632826657800699485682530053643667482253460370
51345036031521542969439918662368576380623512098844
48741138600171173647632126029961408561925599707566
82786677873237741944446227539990929104469771647615
11186723272386792081333673061819448493966071233452
71856520253643621964198782752978813060080313141817
06931446822118927578497828109436775154071010635055
37980038422190455084822393869932969266592211127426
98133062300073465628498093636693049446801628553712
63341262037849191949860009720083672787665078688630
69334189952257683143908324848863403189401941610369
79843833346608676709431643653538430912157815543512
85207772085809890209958644960247949197068723076568
71092343807195098248144731578137800806393584187566
55098501321882852840184981407690738507369535377711
88038852893534760093033859869160828933542114772293
65619072762646037260272393209911878204070674122722
58120766729040071924237930330972132364184093956102
99597129179982829000953914738243780277905111203095
45825328887211461701334403859396540478061993332245
47317803407340902512130217279595753863158148810392
95247541094388055509838262763312760671812617102201
13561818007754002275167341441692164249731756213631
28588281978005788832454534581522434937268133433997
71051253208147834506713983503833290131394598648182
02723220433419309290119078328965692228783374973543
01561722829115627329468814853281922100752373626827
64315268573549322302801810144964900901552924863833
88856648930022509743436012008143651536253691994467
09711126951966725780061891215440222487564601554632
81209194582465355743204764421265079065520820833797
60714651275083204871652715774723258872757611283575
92132553934446289433258105028633583669291828566894
73622350825029496406579863080961434169683046759517
43553132243626642071976084590242630174733922252912
48366316428006552870975051997504913009859468071013
60233644016440017918861085323076499171437205446782
35972117604651532001630853363193515896458906817223
72812310320271897917951272799656053694032111242846
59099455638021546131610626752163380566439431888126
81994940055370686976218552318589211009634410129335
35733918459668197539834284696822889460076352031688
92200202193131836975755696206111577430582630553586
20156378912460312206729339926173783796251509999354
03648731423208873977968908908369996292995391977217
79653342124929197838375146006205496734166283348734
10110977705358980664981360113955715843283087139405
82535274056081011503907941688079197212933148303072
63867863141103844312821599493682434299818871976863
76044963425975242568861886889789808883158650762626
04856465004322896856149255063968811404400429503894
24587238223354310107869151732833360477926272776568
60761777056168740502577437499837758301438561354272
73838589774133526949165483929721519554793578923866
76250274537010466090938244962662693532130374453889
24792161611888897020779104485631995148266308028795
49546453583866307344423753319712279158861707289652
09014984830543598320077132665340729066201677570640
96901837712013068232453334779666605253254908736019
61480378241566071271650383582257289215708209369510
99589013285949072430618332575520120809000717502202
29497428018234454137119162984499147222541965946822
21468260644961839254249670903104007581488857971672
24632288701643840390846385673116430816953732679030
31145836805750211196399056151691547085104597005420
98571797318015564741406172334145847111268547929892
44300139146828910367917921697861658248900732203359
13767065276765213071439853027609884780562169946596
55461379174985659739227379416726495377801992098355
42786617912312669937473077773056932443016683933301
15545155426568649374921286870491217542459678311329
69248492466744261999033972825674873460201150442228
78046612432018301610823218390865477104239822853131
65596856880052265714744288233175394565438819286244
32662503345388199590085105211383124491861802624432
19554043398572284134125440941177172215686708629174
21240531106205228429861992736294062088347548536451
28123279609097213953775360023076765694208219943034
64878334854449271353945022459133437466493770165560
57633846970629187257454265058794146301766397604574
74311081556747091652708748125267159913793240527304
61369396116989258980831190632251077792856207199945
94877006118010022961323045882945584409524966111583
42804908643860880796440557763691857743754025896855
92725251456340438521782589059955395462745138545445
29167610429692679708935800562345019185714890304184
95767400819359973218711957496357095967825171096264
75206889080640765144589313287076745416960710793169
27042851680934133110463535062422098103632167719104
20786162184213763938194625697286781413636389620123
97691046541895680619732314841422455007161721585132
13020306841760872158927020988791089380810459033972
76547326416916845445627600759561367103584575649094
43069245253208500309106878315756151984756756919128
47846546925586651115579134612724253360836351313421
83905177154511228464455136016013513228948543271504
76083930755610090878609666387061227869027483181933
16067014849571630047052622282384062668184487883745
48131994380387613830128859885264201992286188208499
58864088852135250145761539648264745102590253074317
29568996364996157075518558371659353671254485150893
62904567736630035562457374779100987992499146967224
04148160128953094401548894261378314008780431143174
18580718261851490511387448313584390672289494082582
86021650288927228387426432786168690381960530155894
45945180873519724600822152934398082825412612825715
72093509853828007385604729109411840060844852353778
33503306861977724501886364070344973366473100602018
12879288699186182441845396899477725948216913713364
74704531729798092458443611296189975956962409718455
64020511432589591844724920942930301651488713079802
10237906553652515478029805940752944051314580755153
77948616358799011581920198088796949671874482241568
36463534326160242632934761634458163890163805123894
18452397342184149688926239848964864209340981668149
47711551770095626690298501015135375998012725012419
71119871526593747484778935488777815192931171431167
44477388294106461502875132770947450476392287489066
29898415402593508340351420351361688192482389980277
06666916342133424312054507359388616687691188185776
11813577133248396520988208598239129860638682280475
43624089565229214108598520373305446259532613402348
64689275060526893755148403298542086991221052597005
62857670770256769530097897004640892000985210698029
54196998021380532957981594782899344432454915653278
45223840551240445208226435420656313310702940722371
55277050426348207398445488958924886139765707914541
44276535845729513297190919476944119109667974742626
75590953832039169673494261360032263077428684105040
06135105219441377815809500571452684600981035210924
90400279580507364369610212411377397171648695254931
14805040126568351268829598413983222676377804500626
50724173175739521979689075482519932925964980162706
86656580301788774056151671597319273204793762473755
05855052839660294566992522173600874081212014209071
04193759857172143133801742514158249182471090508471
59772494170493202541652393232332588515888933370971
36310892571531417761978326033750109026284066415801
37135935652927808845630595177008144399411467429185
03607488523666547448699280832305168157116029118363
74147958492100860528981469547750812338896943152861
02120273674704990393041703517134212692348670056662
75062290586369118822289031705103054068820969708755
45329369434063981297696478031825451642178347347716
47105842323859458018305275621391018699760430584406
86657123468696794560441557421000391797583489799358
82751881524675930878928159243492197545387668305684
66842077540982178124705335452319479739895332017598
86402810588255576980043971205383124594289573776960
01857497335249965013509368925958021863811725906506
43688212715681575102171290076599275037022828396396
29159732511734185867210234973177659694542836255193
71556009143680329311962842546628403142444370648432
39037490641081130079284895576724348120009030988845
72709077508736388732996425550504738125289759629348
22878917619920725138309388288292510416837622758204
08191893360365387528411678570372098971883298692192
78166296758445801749118091196630481874341550677908
63948831489241504300476704527971283482211522202837
06285731424410782379251364508667756662280497721139
71406216641163247567842166129614771090188260946773
77686406176721484293894976671380122788941309026553
51109611834701256519754080709538406091686393690667
37866272094294342642604029021583173450037274625889
92622049877121178405563348492490326003508569099382
39277729749841356561483078826236332236838070982234
60122742413790364734517359252157547571609342709351
92901723954921426490691115271523338109124042812102
89373848816735895393450893069771552298919969890388
58832754090443003219868340034702712200201596993716
90650330547577095398748580670024491045504890061727
18916803139452803616563394157133463722255047754746
07560550241087643821216888489169403712589019484906
85379722244562009483819491532724502276218589169507
40579498375982100660448199651936011026157694717620
25717020486849146168940684041408335875621183192108
38005632144562018941505945780025318747471911604840
67799776541483062217906933085387512929898300958027
75541454350587689849441791365358916200987252220490
55183554603706533183176716110738009786625247488691
47607766447014719307447630241166033567176556487444
05779905319962716329720091094492492164560306188277
72947750764777446452586328919159107444252320082918
20951802108370035388133098321589460868012795422475
20719241346483349639150948130975414332442092999307
51481077919002346128122330161799429930618800533414
55063393213933964686161641695522021644799541724317
11657444713641977332048993650747678441499295480730
25856442942381787641506492878361767978677158510784
23570264021338801887560198923405686842321558562850
86455252583770106205322242449879906252634840107743
22488172558602233302076399933854152015343847725442
91789513063705032044491779775237087195827797679968
61136265322911186296311646851599346606934605575459
56063155830033697634000276685151293843638886090828
37614115773200352756515874590656702543943793110483
85713132944906049265823631089495350900826731544972
26396648088618041573977888472892174618974189721700
77000986244965375901272701522763451087490694801221
06849520630025190116559635805524291802055869042596
85261047412834518466736938580027700252965356366721
61988367242822693395032593039099458316866554223465
48570208755046175205218537215672826799034181355206
02999895366470106557900532129541336924472492212436
32452304289518846177912233806967423398069488727058
75033892283950951352091231092581590069603951563677
36067109050566299603571876423247920752836160805597
69777875647676721052122232718482148444663126148758
42260926088757643317310232637688648225946912110323
67737558122133470556805958008310127481673962019583
59802396741448986727684586981937678375716793672321
30815861910459950589709910646869194634480385741438
29629547131372173669836184558144505748676124322451
51994336218291619146802609112179300186478805006135
16031443500761892134416024880917410512322903571792
05497927970924502479940842696158818442616163780044
75947821224087320412442116919980557264911824366192
18357147628914258057718717436880003241130087048193
73962295017143090098476927237498875938639942530595
33160789161881086350598244457894279934651491595288
48697574880258233535716778648268280511408854297327
88197765736966005727700162592404301688659946862983
71727059580980873090182012093100343005879655269478
80498092054843054676110346547480672906743997636125
92434637719995843862812391985470202414880076880818
84808789239159136946329311327684932977720164664172
75872591223547844808134333280500877588552646861195
76962172239308693795757165821852416204341972383989
93273480342926234072233815510220910126294924974242
32716988420232973032601617905756731112354658902982
98313115123607606773968998153812286999642014609852
57979369124601634608876232128620563421590147918863
21946596374834825642916162785329482393132294402310
43277288768139550213348266388687453259281587854503
89099156194963247885503509028939097371898800399902
61320158726786378730956781096253110080544894188579
83565902063680699643165033912029944327726770869305
24071841659207009613928640196672575008701221814973
31336958096003697517649513500402859262492033981110
14953227533621844500744331562434532484217986108346
26134589759123483997075185422328167718721595682724
32459108290198863903697845426225669125427470560975
67984857136623679023878478161201477982939080513150
25817452377352951016529693456278612224115078358775
53733483727644398380820006672147400344663227769189
36967612878983488942094688102308427036452854504966
75969731883604449670285319063739691635798092886571
99353977234954867871804164014152814894437850362910
71517805285857583987711145474240156416477194116391
35493546675559359260884920054638468540302808093641
72505836533680934072253108208447235702268098269514
26162451204040711501448747856199922814664565893938
48802864382231384985232845236066704580511367966375
10392481633361732745472757756368109773445392758275
60597425160705468689657794530521602315939865780974
80151541498709777807870535705800847237689242218975
03127585271401731176212798987449584061998439133656
80297721208751934988504499713914285158032324823021
34063031258607262454163776523450552205108631828535
96585207081733927095664450114040551065790550374177
80393351658360904543047721422281816832539613634982
52521523225769092025421640965745261806605177790159
29028842405999988827536919575401169546961522704012
80857579766154722192925655963991820948894642657512
28876633030213374636744921744935163710472573298083
28127264681877593565842183835947027920136639076897
41738962252575782663990809792647011407580367850599
38188718456009469583327077512618128201539104177395
09182441375619999378192403624695582359241714787027
79448443108751901807414110290370706052085162975798
36175425104164224486757735075633801889537926318338
98559559565278572279261555244947393636655339045286
56215464288343162282921123290451842212532888101415
88406161993919504223005989834996656946358018681671
70748188232158486477343867809115646607551753855522
24428524049468033692299989300783900020690121517740
69642857393019691050098827852305379763794025796895
32951124361667789105855572133817890899454539479159
27374958600268237844486872037243488834616856290097
85053249703693336194243980288236432355380820800387
57417109692897254998785662530488670330951505184521
26944989251596392079421452606508516052325614861938
28248983800081508535156464276170083209648311794440
19717801492133453359033366723767192297220699707660
55482452247416927774637522135201716231722137632445
69915402239549415822741893058991174693177377651873
58500323180144328839163742437958546956912217740989
48611515564046609565094538115520921863711518684562
54327504787053000699842314018016942110910592549359
61167194576309623288312712683285017603217716804002
49657674186927113215573270049935709942324416387089
24242758440765121557267603792476534180898431267694
11103131659514294793776706988812496434219332874043
90485538222160837088907598277390184204138197811025
85453708858670145062357851396010998747605253545010
04393530620724397099764451467909933814489946446097
80957731953604938734950026860564555693224229691815
63029392248760647087343116638420544248962876021365
02469918930401125131038350856219080602708666048735
85849001704200923929789193938125116798421788115209
25913043557232163566089560351438388393901895316627
4355609970015699780289236362349895374653428746875

It occurs to me that the above number is so long (20,899 digits) that we have no formal way of verbally saying it; and if we did, it would be so long and cumbersome that the verbage for speaking this would itself require some kind of special notation.

Wooow that is awesome!

59,425,114,757,512,643,212,875,125

96,151,855,463,018,422,468,774,568

Thanks, glad you enjoyed it!

I tried to do the same but page wouldn't load and got an error, haha.

155,576,970,220,531,065,681,649,693

That's so weird. We can't even say that number.
251,728,825,683,549,488,150,424,261

407,305,795,859,080,553,832,073,954

Sure, we can. Four hundred seven septillion, three hundred five sextillion, seven hundred ninety-five quintillion, eight hundred fifty-nine quadrillion, eighty trillion, five hundred fifty-three billion, eight hundred thirty-two million, seventy-three thousand, nine hundred fifty-four.

There.

oops, the above should have been
407,305,795,904,080,553,832,073,954



1,066,340,417,491,710,595,814,572,169

About the absurdly long Fibonacci number I posted: If we only insisted on saying the first digit's value and the rest as placeholder zeros / powers of 10, we could do what scientists often do and say "two-trillion-trillion-trillion-trillion-trillion..." etc., but ironically what makes saying that exact number so hard are the little individual digits, because they make it so you have to know the imperial or metric name of every numeral leading a comma.

I also notice that Fibonacci(100,000) is so big that it absolutely dwarfs the Googolplex, which has 1,001 digits. That Fibonacci number has over 20 times as many digits.

There are much bigger numbers though. Check this out:

http://googology.wikia.com/wiki/Xkcd_number
I dare you to try to imagine some of those quantities in your mind.

Ok so here's the next Fibonacci number, finally.

1,725,375,039,079,340,637,797,070,384

Now we're in the octillians.

Ok, here's the biggest number ever defined, as of 6/9/15:
http://googology.wikia.com/wiki/BIG_FOOT

Sorry, I am not seeing what Xkcd is all about...


2,791,715,456,571,051,233,611,642,553

No worries, hopefully the other links are still viewable.

4,517,090,495,650,391,871,408,712,937