Leonardo Fibonacci
Also known as Leonardo of Pisa
1170? - 1250?AD

Fibonacci Numbers, Bunnies and nature
Interesting puzzles based on the Fibonacci Sequence
Lots of Fibonacci information and links
Who was Fibonacci and why do we care?
Fibonacci and Modern Arithmetic


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This section is still under construction.
It will soon contain an outline of Fibonacci's bunny problem.

Fibonacci developed his famous series of numbers through a problem involving raising rabbits outlined in his book "Liber Abaci" published in 1204 A.D.
rabbit.gif


Fibonacci set two rules for his bunny problem in order to simplify things. First, each set of baby bunnys born would consist of one girl and one boy bunny. Second, each pair of bunnies required one month to grow to adults and then one month later a pair of babies would be born.
His problem then consisted of what would happen if a pair of baby bunnies were placed into a field.
You might also consider then manner in which populations grow. What does this say about the future human population?

Notice that the first generation contains 1 pair of bunnies as does the second. The third generation contains 2 pairs of bunnies. The fourth generation contains 3 pairs of bunnies, the fifth has 5 pairs, the sixth has 8 pairs and the seventh has 13 pairs. Do these numbers sound familiar?


(bunnies-1.gif)
End construction zone.




Fibonacci Ratio Calculator
The calculator below will allow you to quickly fiind the ratio of Fibonacci Numbers. The first two terms are normally 1 and 1 and are listed below. It is set to show the first 10 Fibonacci numbers and their ratios. You may change any of the numbers you wish and examine what occurs.
First Term =
Second Term =
How many terms do you want? =



Points to Ponder

  1. As more and more terms are calculated, what happens to the value of the ratio?

  2. What happens if you change the value of the starting numbers?

  3. The golden ratio is 1.618033988749895. Do you see a connection here?





The First 500 Fibonacci Numbers

F(0) = 0

F(1) = 1

F(2) = 1

F(3) = 2

F(4) = 3

F(5) = 5

F(6) = 8

F(7) = 13

F(8) = 21

F(9) = 34

F(10) = 55

F(11) = 89

F(12) = 144

F(13) = 233

F(14) = 377

F(15) = 610

F(16) = 987

F(17) = 1597

F(18) = 2584

F(19) = 4181

F(20) = 6765

F(21) = 10946

F(22) = 17711

F(23) = 28657

F(24) = 46368

F(25) = 75025

F(26) = 121393

F(27) = 196418

F(28) = 317811

F(29) = 514229

F(30) = 832040

F(31) = 1346269

F(32) = 2178309

F(33) = 3524578

F(34) = 5702887

F(35) = 9227465

F(36) = 14930352

F(37) = 24157817

F(38) = 39088169

F(39) = 63245986

F(40) = 102334155

F(41) = 165580141

F(42) = 267914296

F(43) = 433494437

F(44) = 701408733

F(45) = 1134903170

F(46) = 1836311903

F(47) = 2971215073

F(48) = 4807526976

F(49) = 7778742049

F(50) = 12586269025

F(51) = 20365011074

F(52) = 32951280099

F(53) = 53316291173

F(54) = 86267571272

F(55) = 139583862445

F(56) = 225851433717

F(57) = 365435296162

F(58) = 591286729879

F(59) = 956722026041

F(60) = 1548008755920

F(61) = 2504730781961

F(62) = 4052739537881

F(63) = 6557470319842

F(64) = 10610209857723

F(65) = 17167680177565

F(66) = 27777890035288

F(67) = 44945570212853

F(68) = 72723460248141

F(69) = 117669030460994

F(70) = 190392490709135

F(71) = 308061521170129

F(72) = 498454011879264

F(73) = 806515533049393

F(74) = 1304969544928657

F(75) = 2111485077978050

F(76) = 3416454622906707

F(77) = 5527939700884757

F(78) = 8944394323791464

F(79) = 14472334024676221

F(80) = 23416728348467685

F(81) = 37889062373143906

F(82) = 61305790721611591

F(83) = 99194853094755497

F(84) = 160500643816367088

F(85) = 259695496911122585

F(86) = 420196140727489673

F(87) = 679891637638612258

F(88) = 1100087778366101931

F(89) = 1779979416004714189

F(90) = 2880067194370816120

F(91) = 4660046610375530309

F(92) = 7540113804746346429

F(93) = 12200160415121876738

F(94) = 19740274219868223167

F(95) = 31940434634990099905

F(96) = 51680708854858323072

F(97) = 83621143489848422977

F(98) = 135301852344706746049

F(99) = 218922995834555169026

F(100) = 354224848179261915075

F(101) = 573147844013817084101

F(102) = 927372692193078999176

F(103) = 1500520536206896083277

F(104) = 2427893228399975082453

F(105) = 3928413764606871165730

F(106) = 6356306993006846248183

F(107) = 10284720757613717413913

F(108) = 16641027750620563662096

F(109) = 26925748508234281076009

F(110) = 43566776258854844738105

F(111) = 70492524767089125814114

F(112) = 114059301025943970552219

F(113) = 184551825793033096366333

F(114) = 298611126818977066918552

F(115) = 483162952612010163284885

F(116) = 781774079430987230203437

F(117) = 1264937032042997393488322

F(118) = 2046711111473984623691759

F(119) = 3311648143516982017180081

F(120) = 5358359254990966640871840

F(121) = 8670007398507948658051921

F(122) = 14028366653498915298923761

F(123) = 22698374052006863956975682

F(124) = 36726740705505779255899443

F(125) = 59425114757512643212875125

F(126) = 96151855463018422468774568

F(127) = 155576970220531065681649693

F(128) = 251728825683549488150424261

F(129) = 407305795904080553832073954

F(130) = 659034621587630041982498215

F(131) = 1066340417491710595814572169

F(132) = 1725375039079340637797070384

F(133) = 2791715456571051233611642553

F(134) = 4517090495650391871408712937

F(135) = 7308805952221443105020355490

F(136) = 11825896447871834976429068427

F(137) = 19134702400093278081449423917

F(138) = 30960598847965113057878492344

F(139) = 50095301248058391139327916261

F(140) = 81055900096023504197206408605

F(141) = 131151201344081895336534324866

F(142) = 212207101440105399533740733471

F(143) = 343358302784187294870275058337

F(144) = 555565404224292694404015791808

F(145) = 898923707008479989274290850145

F(146) = 1454489111232772683678306641953

F(147) = 2353412818241252672952597492098

F(148) = 3807901929474025356630904134051

F(149) = 6161314747715278029583501626149

F(150) = 9969216677189303386214405760200

F(151) = 16130531424904581415797907386349

F(152) = 26099748102093884802012313146549

F(153) = 42230279526998466217810220532898

F(154) = 68330027629092351019822533679447

F(155) = 110560307156090817237632754212345

F(156) = 178890334785183168257455287891792

F(157) = 289450641941273985495088042104137

F(158) = 468340976726457153752543329995929

F(159) = 757791618667731139247631372100066

F(160) = 1226132595394188293000174702095995

F(161) = 1983924214061919432247806074196061

F(162) = 3210056809456107725247980776292056

F(163) = 5193981023518027157495786850488117

F(164) = 8404037832974134882743767626780173

F(165) = 13598018856492162040239554477268290

F(166) = 22002056689466296922983322104048463

F(167) = 35600075545958458963222876581316753

F(168) = 57602132235424755886206198685365216

F(169) = 93202207781383214849429075266681969

F(170) = 150804340016807970735635273952047185

F(171) = 244006547798191185585064349218729154

F(172) = 394810887814999156320699623170776339

F(173) = 638817435613190341905763972389505493

F(174) = 1033628323428189498226463595560281832

F(175) = 1672445759041379840132227567949787325

F(176) = 2706074082469569338358691163510069157

F(177) = 4378519841510949178490918731459856482

F(178) = 7084593923980518516849609894969925639

F(179) = 11463113765491467695340528626429782121

F(180) = 18547707689471986212190138521399707760

F(181) = 30010821454963453907530667147829489881

F(182) = 48558529144435440119720805669229197641

F(183) = 78569350599398894027251472817058687522

F(184) = 127127879743834334146972278486287885163

F(185) = 205697230343233228174223751303346572685

F(186) = 332825110087067562321196029789634457848

F(187) = 538522340430300790495419781092981030533

F(188) = 871347450517368352816615810882615488381

F(189) = 1409869790947669143312035591975596518914

F(190) = 2281217241465037496128651402858212007295

F(191) = 3691087032412706639440686994833808526209

F(192) = 5972304273877744135569338397692020533504

F(193) = 9663391306290450775010025392525829059713

F(194) = 15635695580168194910579363790217849593217

F(195) = 25299086886458645685589389182743678652930

F(196) = 40934782466626840596168752972961528246147

F(197) = 66233869353085486281758142155705206899077

F(198) = 107168651819712326877926895128666735145224

F(199) = 173402521172797813159685037284371942044301

F(200) = 280571172992510140037611932413038677189525

F(201) = 453973694165307953197296969697410619233826

F(202) = 734544867157818093234908902110449296423351

F(203) = 1188518561323126046432205871807859915657177

F(204) = 1923063428480944139667114773918309212080528

F(205) = 3111581989804070186099320645726169127737705

F(206) = 5034645418285014325766435419644478339818233

F(207) = 8146227408089084511865756065370647467555938

F(208) = 13180872826374098837632191485015125807374171

F(209) = 21327100234463183349497947550385773274930109

F(210) = 34507973060837282187130139035400899082304280

F(211) = 55835073295300465536628086585786672357234389

F(212) = 90343046356137747723758225621187571439538669

F(213) = 146178119651438213260386312206974243796773058

F(214) = 236521166007575960984144537828161815236311727

F(215) = 382699285659014174244530850035136059033084785

F(216) = 619220451666590135228675387863297874269396512

F(217) = 1001919737325604309473206237898433933302481297

F(218) = 1621140188992194444701881625761731807571877809

F(219) = 2623059926317798754175087863660165740874359106

F(220) = 4244200115309993198876969489421897548446236915

F(221) = 6867260041627791953052057353082063289320596021

F(222) = 11111460156937785151929026842503960837766832936

F(223) = 17978720198565577104981084195586024127087428957

F(224) = 29090180355503362256910111038089984964854261893

F(225) = 47068900554068939361891195233676009091941690850

F(226) = 76159080909572301618801306271765994056795952743

F(227) = 123227981463641240980692501505442003148737643593

F(228) = 199387062373213542599493807777207997205533596336

F(229) = 322615043836854783580186309282650000354271239929

F(230) = 522002106210068326179680117059857997559804836265

F(231) = 844617150046923109759866426342507997914076076194

F(232) = 1366619256256991435939546543402365995473880912459

F(233) = 2211236406303914545699412969744873993387956988653

F(234) = 3577855662560905981638959513147239988861837901112

F(235) = 5789092068864820527338372482892113982249794889765

F(236) = 9366947731425726508977331996039353971111632790877

F(237) = 15156039800290547036315704478931467953361427680642

F(238) = 24522987531716273545293036474970821924473060471519

F(239) = 39679027332006820581608740953902289877834488152161

F(240) = 64202014863723094126901777428873111802307548623680

F(241) = 103881042195729914708510518382775401680142036775841

F(242) = 168083057059453008835412295811648513482449585399521

F(243) = 271964099255182923543922814194423915162591622175362

F(244) = 440047156314635932379335110006072428645041207574883

F(245) = 712011255569818855923257924200496343807632829750245

F(246) = 1152058411884454788302593034206568772452674037325128

F(247) = 1864069667454273644225850958407065116260306867075373

F(248) = 3016128079338728432528443992613633888712980904400501

F(249) = 4880197746793002076754294951020699004973287771475874

F(250) = 7896325826131730509282738943634332893686268675876375

F(251) = 12776523572924732586037033894655031898659556447352249

F(252) = 20672849399056463095319772838289364792345825123228624

F(253) = 33449372971981195681356806732944396691005381570580873

F(254) = 54122222371037658776676579571233761483351206693809497

F(255) = 87571595343018854458033386304178158174356588264390370

F(256) = 141693817714056513234709965875411919657707794958199867

F(257) = 229265413057075367692743352179590077832064383222590237

F(258) = 370959230771131880927453318055001997489772178180790104

F(259) = 600224643828207248620196670234592075321836561403380341

F(260) = 971183874599339129547649988289594072811608739584170445

F(261) = 1571408518427546378167846658524186148133445300987550786

F(262) = 2542592393026885507715496646813780220945054040571721231

F(263) = 4114000911454431885883343305337966369078499341559272017

F(264) = 6656593304481317393598839952151746590023553382130993248

F(265) = 10770594215935749279482183257489712959102052723690265265

F(266) = 17427187520417066673081023209641459549125606105821258513

F(267) = 28197781736352815952563206467131172508227658829511523778

F(268) = 45624969256769882625644229676772632057353264935332782291

F(269) = 73822750993122698578207436143903804565580923764844306069

F(270) = 119447720249892581203851665820676436622934188700177088360

F(271) = 193270471243015279782059101964580241188515112465021394429

F(272) = 312718191492907860985910767785256677811449301165198482789

F(273) = 505988662735923140767969869749836918999964413630219877218

F(274) = 818706854228831001753880637535093596811413714795418360007

F(275) = 1324695516964754142521850507284930515811378128425638237225

F(276) = 2143402371193585144275731144820024112622791843221056597232

F(277) = 3468097888158339286797581652104954628434169971646694834457

F(278) = 5611500259351924431073312796924978741056961814867751431689

F(279) = 9079598147510263717870894449029933369491131786514446266146

F(280) = 14691098406862188148944207245954912110548093601382197697835

F(281) = 23770696554372451866815101694984845480039225387896643963981

F(282) = 38461794961234640015759308940939757590587318989278841661816

F(283) = 62232491515607091882574410635924603070626544377175485625797

F(284) = 100694286476841731898333719576864360661213863366454327287613

F(285) = 162926777992448823780908130212788963731840407743629812913410

F(286) = 263621064469290555679241849789653324393054271110084140201023

F(287) = 426547842461739379460149980002442288124894678853713953114433

F(288) = 690168906931029935139391829792095612517948949963798093315456

F(289) = 1116716749392769314599541809794537900642843628817512046429889

F(290) = 1806885656323799249738933639586633513160792578781310139745345

F(291) = 2923602405716568564338475449381171413803636207598822186175234

F(292) = 4730488062040367814077409088967804926964428786380132325920579

F(293) = 7654090467756936378415884538348976340768064993978954512095813

F(294) = 12384578529797304192493293627316781267732493780359086838016392

F(295) = 20038668997554240570909178165665757608500558774338041350112205

F(296) = 32423247527351544763402471792982538876233052554697128188128597

F(297) = 52461916524905785334311649958648296484733611329035169538240802

F(298) = 84885164052257330097714121751630835360966663883732297726369399

F(299) = 137347080577163115432025771710279131845700275212767467264610201

F(300) = 222232244629420445529739893461909967206666939096499764990979600

F(301) = 359579325206583560961765665172189099052367214309267232255589801

F(302) = 581811569836004006491505558634099066259034153405766997246569401

F(303) = 941390895042587567453271223806288165311401367715034229502159202

F(304) = 1523202464878591573944776782440387231570435521120801226748728603

F(305) = 2464593359921179141398048006246675396881836888835835456250887805

F(306) = 3987795824799770715342824788687062628452272409956636682999616408

F(307) = 6452389184720949856740872794933738025334109298792472139250504213

F(308) = 10440185009520720572083697583620800653786381708749108822250120621

F(309) = 16892574194241670428824570378554538679120491007541580961500624834

F(310) = 27332759203762391000908267962175339332906872716290689783750745455

F(311) = 44225333398004061429732838340729878012027363723832270745251370289

F(312) = 71558092601766452430641106302905217344934236440122960529002115744

F(313) = 115783425999770513860373944643635095356961600163955231274253486033

F(314) = 187341518601536966291015050946540312701895836604078191803255601777

F(315) = 303124944601307480151388995590175408058857436768033423077509087810

F(316) = 490466463202844446442404046536715720760753273372111614880764689587

F(317) = 793591407804151926593793042126891128819610710140145037958273777397

F(318) = 1284057871006996373036197088663606849580363983512256652839038466984

F(319) = 2077649278811148299629990130790497978399974693652401690797312244381

F(320) = 3361707149818144672666187219454104827980338677164658343636350711365

F(321) = 5439356428629292972296177350244602806380313370817060034433662955746

F(322) = 8801063578447437644962364569698707634360652047981718378070013667111

F(323) = 14240420007076730617258541919943310440740965418798778412503676622857

F(324) = 23041483585524168262220906489642018075101617466780496790573690289968

F(325) = 37281903592600898879479448409585328515842582885579275203077366912825

F(326) = 60323387178125067141700354899227346590944200352359771993651057202793

F(327) = 97605290770725966021179803308812675106786783237939047196728424115618

F(328) = 157928677948851033162880158208040021697730983590298819190379481318411

F(329) = 255533968719576999184059961516852696804517766828237866387107905434029

F(330) = 413462646668428032346940119724892718502248750418536685577487386752440

F(331) = 668996615388005031531000081241745415306766517246774551964595292186469

F(332) = 1082459262056433063877940200966638133809015267665311237542082678938909

F(333) = 1751455877444438095408940282208383549115781784912085789506677971125378

F(334) = 2833915139500871159286880483175021682924797052577397027048760650064287

F(335) = 4585371016945309254695820765383405232040578837489482816555438621189665

F(336) = 7419286156446180413982701248558426914965375890066879843604199271253952

F(337) = 12004657173391489668678522013941832147005954727556362660159637892443617

F(338) = 19423943329837670082661223262500259061971330617623242503763837163697569

F(339) = 31428600503229159751339745276442091208977285345179605163923475056141186

F(340) = 50852543833066829834000968538942350270948615962802847667687312219838755

F(341) = 82281144336295989585340713815384441479925901307982452831610787275979941

F(342) = 133133688169362819419341682354326791750874517270785300499298099495818696

F(343) = 215414832505658809004682396169711233230800418578767753330908886771798637

F(344) = 348548520675021628424024078524038024981674935849553053830206986267617333

F(345) = 563963353180680437428706474693749258212475354428320807161115873039415970

F(346) = 912511873855702065852730553217787283194150290277873860991322859307033303

F(347) = 1476475227036382503281437027911536541406625644706194668152438732346449273

F(348) = 2388987100892084569134167581129323824600775934984068529143761591653482576

F(349) = 3865462327928467072415604609040860366007401579690263197296200323999931849

F(350) = 6254449428820551641549772190170184190608177514674331726439961915653414425

F(351) = 10119911756749018713965376799211044556615579094364594923736162239653346274

F(352) = 16374361185569570355515148989381228747223756609038926650176124155306760699

F(353) = 26494272942318589069480525788592273303839335703403521573912286394960106973

F(354) = 42868634127888159424995674777973502051063092312442448224088410550266867672

F(355) = 69362907070206748494476200566565775354902428015845969798000696945226974645

F(356) = 112231541198094907919471875344539277405965520328288418022089107495493842317

F(357) = 181594448268301656413948075911105052760867948344134387820089804440720816962

F(358) = 293825989466396564333419951255644330166833468672422805842178911936214659279

F(359) = 475420437734698220747368027166749382927701417016557193662268716376935476241

F(360) = 769246427201094785080787978422393713094534885688979999504447628313150135520

F(361) = 1244666864935793005828156005589143096022236302705537193166716344690085611761

F(362) = 2013913292136887790908943984011536809116771188394517192671163973003235747281

F(363) = 3258580157072680796737099989600679905139007491100054385837880317693321359042

F(364) = 5272493449209568587646043973612216714255778679494571578509044290696557106323

F(365) = 8531073606282249384383143963212896619394786170594625964346924608389878465365

F(366) = 13803567055491817972029187936825113333650564850089197542855968899086435571688

F(367) = 22334640661774067356412331900038009953045351020683823507202893507476314037053

F(368) = 36138207717265885328441519836863123286695915870773021050058862406562749608741

F(369) = 58472848379039952684853851736901133239741266891456844557261755914039063645794

F(370) = 94611056096305838013295371573764256526437182762229865607320618320601813254535

F(371) = 153083904475345790698149223310665389766178449653686710164582374234640876900329

F(372) = 247694960571651628711444594884429646292615632415916575771902992555242690154864

F(373) = 400778865046997419409593818195095036058794082069603285936485366789883567055193

F(374) = 648473825618649048121038413079524682351409714485519861708388359345126257210057

F(375) = 1049252690665646467530632231274619718410203796555123147644873726135009824265250

F(376) = 1697726516284295515651670644354144400761613511040643009353262085480136081475307

F(377) = 2746979206949941983182302875628764119171817307595766156998135811615145905740557

F(378) = 4444705723234237498833973519982908519933430818636409166351397897095281987215864

F(379) = 7191684930184179482016276395611672639105248126232175323349533708710427892956421

F(380) = 11636390653418416980850249915594581159038678944868584489700931605805709880172285

F(381) = 18828075583602596462866526311206253798143927071100759813050465314516137773128706

F(382) = 30464466237021013443716776226800834957182606015969344302751396920321847653300991

F(383) = 49292541820623609906583302538007088755326533087070104115801862234837985426429697

F(384) = 79757008057644623350300078764807923712509139103039448418553259155159833079730688

F(385) = 129049549878268233256883381302815012467835672190109552534355121389997818506160385

F(386) = 208806557935912856607183460067622936180344811293149000952908380545157651585891073

F(387) = 337856107814181089864066841370437948648180483483258553487263501935155470092051458

F(388) = 546662665750093946471250301438060884828525294776407554440171882480313121677942531

F(389) = 884518773564275036335317142808498833476705778259666107927435384415468591769993989

F(390) = 1431181439314368982806567444246559718305231073036073662367607266895781713447936520

F(391) = 2315700212878644019141884587055058551781936851295739770295042651311250305217930509

F(392) = 3746881652193013001948452031301618270087167924331813432662649918207032018665867029

F(393) = 6062581865071657021090336618356676821869104775627553202957692569518282323883797538

F(394) = 9809463517264670023038788649658295091956272699959366635620342487725314342549664567

F(395) = 15872045382336327044129125268014971913825377475586919838578035057243596666433462105

F(396) = 25681508899600997067167913917673267005781650175546286474198377544968911008983126672

F(397) = 41553554281937324111297039185688238919607027651133206312776412602212507675416588777

F(398) = 67235063181538321178464953103361505925388677826679492786974790147181418684399715449

F(399) = 108788617463475645289761992289049744844995705477812699099751202749393926359816304226

F(400) = 176023680645013966468226945392411250770384383304492191886725992896575345044216019675

F(401) = 284812298108489611757988937681460995615380088782304890986477195645969271404032323901

F(402) = 460835978753503578226215883073872246385764472086797082873203188542544616448248343576

F(403) = 745648276861993189984204820755333242001144560869101973859680384188513887852280667477

F(404) = 1206484255615496768210420703829205488386909032955899056732883572731058504300529011053

F(405) = 1952132532477489958194625524584538730388053593825001030592563956919572392152809678530

F(406) = 3158616788092986726405046228413744218774962626780900087325447529650630896453338689583

F(407) = 5110749320570476684599671752998282949163016220605901117918011486570203288606148368113

F(408) = 8269366108663463411004717981412027167937978847386801205243459016220834185059487057696

F(409) = 13380115429233940095604389734410310117100995067992702323161470502791037473665635425809

F(410) = 21649481537897403506609107715822337285038973915379503528404929519011871658725122483505

F(411) = 35029596967131343602213497450232647402139968983372205851566400021802909132390757909314

F(412) = 56679078505028747108822605166054984687178942898751709379971329540814780791115880392819

F(413) = 91708675472160090711036102616287632089318911882123915231537729562617689923506638302133

F(414) = 148387753977188837819858707782342616776497854780875624611509059103432470714622518694952

F(415) = 240096429449348928530894810398630248865816766662999539843046788666050160638129156997085

F(416) = 388484183426537766350753518180972865642314621443875164454555847769482631352751675692037

F(417) = 628580612875886694881648328579603114508131388106874704297602636435532791990880832689122

F(418) = 1017064796302424461232401846760575980150446009550749868752158484205015423343632508381159

F(419) = 1645645409178311156114050175340179094658577397657624573049761120640548215334513341070281

F(420) = 2662710205480735617346452022100755074809023407208374441801919604845563638678145849451440

F(421) = 4308355614659046773460502197440934169467600804865999014851680725486111854012659190521721

F(422) = 6971065820139782390806954219541689244276624212074373456653600330331675492690805039973161

F(423) = 11279421434798829164267456416982623413744225016940372471505281055817787346703464230494882

F(424) = 18250487254938611555074410636524312658020849229014745928158881386149462839394269270468043

F(425) = 29529908689737440719341867053506936071765074245955118399664162441967250186097733500962925

F(426) = 47780395944676052274416277690031248729785923474969864327823043828116713025492002771430968

F(427) = 77310304634413492993758144743538184801550997720924982727487206270083963211589736272393893

F(428) = 125090700579089545268174422433569433531336921195894847055310250098200676237081739043824861

F(429) = 202401005213503038261932567177107618332887918916819829782797456368284639448671475316218754

F(430) = 327491705792592583530106989610677051864224840112714676838107706466485315685753214360043615

F(431) = 529892711006095621792039556787784670197112759029534506620905162834769955134424689676262369

F(432) = 857384416798688205322146546398461722061337599142249183459012869301255270820177904036305984

F(433) = 1387277127804783827114186103186246392258450358171783690079918032136025225954602593712568353

F(434) = 2244661544603472032436332649584708114319787957314032873538930901437280496774780497748874337

F(435) = 3631938672408255859550518752770954506578238315485816563618848933573305722729383091461442690

F(436) = 5876600217011727891986851402355662620898026272799849437157779835010586219504163589210317027

F(437) = 9508538889419983751537370155126617127476264588285666000776628768583891942233546680671759717

F(438) = 15385139106431711643524221557482279748374290861085515437934408603594478161737710269882076744

F(439) = 24893677995851695395061591712608896875850555449371181438711037372178370103971256950553836461

F(440) = 40278817102283407038585813270091176624224846310456696876645445975772848265708967220435913205

F(441) = 65172495098135102433647404982700073500075401759827878315356483347951218369680224170989749666

F(442) = 105451312200418509472233218252791250124300248070284575192001929323724066635389191391425662871

F(443) = 170623807298553611905880623235491323624375649830112453507358412671675285005069415562415412537

F(444) = 276075119498972121378113841488282573748675897900397028699360341995399351640458606953841075408

F(445) = 446698926797525733283994464723773897373051547730509482206718754667074636645528022516256487945

F(446) = 722774046296497854662108306212056471121727445630906510906079096662473988285986629470097563353

F(447) = 1169472973094023587946102770935830368494778993361415993112797851329548624931514651986354051298

F(448) = 1892247019390521442608211077147886839616506438992322504018876947992022613217501281456451614651

F(449) = 3061719992484545030554313848083717208111285432353738497131674799321571238149015933442805665949

F(450) = 4953967011875066473162524925231604047727791871346061001150551747313593851366517214899257280600

F(451) = 8015687004359611503716838773315321255839077303699799498282226546635165089515533148342062946549

F(452) = 12969654016234677976879363698546925303566869175045860499432778293948758940882050363241320227149

F(453) = 20985341020594289480596202471862246559405946478745659997715004840583924030397583511583383173698

F(454) = 33954995036828967457475566170409171862972815653791520497147783134532682971279633874824703400847

F(455) = 54940336057423256938071768642271418422378762132537180494862787975116607001677217386408086574545

F(456) = 88895331094252224395547334812680590285351577786328700992010571109649289972956851261232789975392

F(457) = 143835667151675481333619103454952008707730339918865881486873359084765896974634068647640876549937

F(458) = 232730998245927705729166438267632598993081917705194582478883930194415186947590919908873666525329

F(459) = 376566665397603187062785541722584607700812257624060463965757289279181083922224988556514543075266

F(460) = 609297663643530892791951979990217206693894175329255046444641219473596270869815908465388209600595

F(461) = 985864329041134079854737521712801814394706432953315510410398508752777354792040897021902752675861

F(462) = 1595161992684664972646689501703019021088600608282570556855039728226373625661856805487290962276456

F(463) = 2581026321725799052501427023415820835483307041235886067265438236979150980453897702509193714952317

F(464) = 4176188314410464025148116525118839856571907649518456624120477965205524606115754507996484677228773

F(465) = 6757214636136263077649543548534660692055214690754342691385916202184675586569652210505678392181090

F(466) = 10933402950546727102797660073653500548627122340272799315506394167390200192685406718502163069409863

F(467) = 17690617586682990180447203622188161240682337031027142006892310369574875779255058929007841461590953

F(468) = 28624020537229717283244863695841661789309459371299941322398704536965075971940465647510004531000816

F(469) = 46314638123912707463692067318029823029991796402327083329291014906539951751195524576517845992591769

F(470) = 74938658661142424746936931013871484819301255773627024651689719443505027723135990224027850523592585

F(471) = 121253296785055132210628998331901307849293052175954107980980734350044979474331514800545696516184354

F(472) = 196191955446197556957565929345772792668594307949581132632670453793550007197467505024573547039776939

F(473) = 317445252231252689168194927677674100517887360125535240613651188143594986671799019825119243555961293

F(474) = 513637207677450246125760857023446893186481668075116373246321641937144993869266524849692790595738232

F(475) = 831082459908702935293955784701120993704369028200651613859972830080739980541065544674812034151699525

F(476) = 1344719667586153181419716641724567886890850696275767987106294472017884974410332069524504824747437757

F(477) = 2175802127494856116713672426425688880595219724476419600966267302098624954951397614199316858899137282

F(478) = 3520521795081009298133389068150256767486070420752187588072561774116509929361729683723821683646575039

F(479) = 5696323922575865414847061494575945648081290145228607189038829076215134884313127297923138542545712321

F(480) = 9216845717656874712980450562726202415567360565980794777111390850331644813674856981646960226192287360

F(481) = 14913169640232740127827512057302148063648650711209401966150219926546779697987984279570098768737999681

F(482) = 24130015357889614840807962620028350479216011277190196743261610776878424511662841261217058994930287041

F(483) = 39043184998122354968635474677330498542864661988399598709411830703425204209650825540787157763668286722

F(484) = 63173200356011969809443437297358849022080673265589795452673441480303628721313666802004216758598573763

F(485) = 102216385354134324778078911974689347564945335253989394162085272183728832930964492342791374522266860485

F(486) = 165389585710146294587522349272048196587026008519579189614758713664032461652278159144795591280865434248

F(487) = 267605971064280619365601261246737544151971343773568583776843985847761294583242651487586965803132294733

F(488) = 432995556774426913953123610518785740738997352293147773391602699511793756235520810632382557083997728981

F(489) = 700601527838707533318724871765523284890968696066716357168446685359555050818763462119969522887130023714

F(490) = 1133597084613134447271848482284309025629966048359864130560049384871348807054284272752352079971127752695

F(491) = 1834198612451841980590573354049832310520934744426580487728496070230903857873047734872321602858257776409

F(492) = 2967795697064976427862421836334141336150900792786444618288545455102252664927332007624673682829385529104

F(493) = 4801994309516818408452995190383973646671835537213025106017041525333156522800379742496995285687643305513

F(494) = 7769790006581794836315417026718114982822736329999469724305586980435409187727711750121668968517028834617

F(495) = 12571784316098613244768412217102088629494571867212494830322628505768565710528091492618664254204672140130

F(496) = 20341574322680408081083829243820203612317308197211964554628215486203974898255803242740333222721700974747

F(497) = 32913358638779021325852241460922292241811880064424459384950843991972540608783894735358997476926373114877

F(498) = 53254932961459429406936070704742495854129188261636423939579059478176515507039697978099330699648074089624

F(499) = 86168291600238450732788312165664788095941068326060883324529903470149056115823592713458328176574447204501



Fibonacci Factors

1 : 1 = 1
2 : 1 = 1
3 : 2 = 2� Prime
4 : 3 = 3� Prime
5 : 5 = 5� Prime
6 : 8 = 2^3
7 : 13 = 13� Prime
8 : 21 = 3*7
9 : 34 = 2*17
10 : 55 = 5*11
11 : 89 = 89� Prime
12 : 144 = 2^4*3^2
13 : 233 = 233� Prime
14 : 377 = 13*29
15 : 610 = 2*5*61
16 : 987 = 3*7*47
17 : 1597 = 1597� Prime
18 : 2584 = 2^3*17*19
19 : 4181 = 37*113
20 : 6765 = 3*5*11*41
21 : 10946 = 2*13*421
22 : 17711 = 89*199
23 : 28657 = 28657� Prime
24 : 46368 = 2^5*3^2*7*23
25 : 75025 = 5^2*3001
26 : 121393 = 233*521
27 : 196418 = 2*17*53*109
28 : 317811 = 3*13*29*281
29 : 514229 = 514229� Prime
30 : 832040 = 2^3*5*11*31*61
31 : 1346269 = 557*2417
32 : 2178309 = 3*7*47*2207
33 : 3524578 = 2*89*19801
34 : 5702887 = 1597*3571
35 : 9227465 = 5*13*141961
36 : 14930352 = 2^4*3^3*17*19*107
37 : 24157817 = 73*149*2221
38 : 39088169 = 37*113*9349
39 : 63245986 = 2*233*135721
40 : 102334155 = 3*5*7*11*41*2161
41 : 165580141 = 59369*2789
42 : 267914296 = 2^3*13*29*211*421
43 : 433494437 = 433494437� Prime
44 : 701408733 = 3*43*89*199*307
45 : 1134903170 = 2*5*17*61*109441
46 : 1836311903 = 139*461*28657
47 : 2971215073 = 2971215073� Prime
48 : 4807526976 = 2^6*3^2*7*23*47*1103
49 : 7778742049 = 13*97*6168709
50 : 12586269025 = 5^2*11*101*151*3001
51 : 20365011074 = 2*1597*6376021
52 : 32951280099 = 3*233*521*90481
53 : 53316291173 = 953*55945741
54 : 86267571272 = 2^3*17*19*53*109*5779
55 : 139583862445 = 5*89*661*474541
56 : 225851433717 = 3*7^2*13*29*281*14503
57 : 365435296162 = 2*37*113*797*54833
58 : 591286729879 = 59*514229*19489
59 : 956722026041 = 353*2710260697
60 : 1548008755920 = 2^4*3^2*5*11*31*41*61*2521
61 : 2504730781961 = 555003497*4513
62 : 4052739537881 = 557*3010349*2417
63 : 6557470319842 = 2*13*17*421*35239681
64 : 10610209857723 = 3*7*47*1087*2207*4481
65 : 17167680177565 = 5*233*14736206161
66 : 27777890035288 = 2^3*89*199*19801*9901
67 : 44945570212853 = 269*1429913*116849
68 : 72723460248141 = 3*67*1597*63443*3571
69 : 117669030460994 = 2*137*829*18077*28657
70 : 190392490709135 = 5*11*13*29*71*911*141961
71 : 308061521170129 = 46165371073*6673
72 : 498454011879264 = 2^5*3^3*7*17*19*23*107*103681
73 : 806515533049393 = 86020717*9375829
74 : 1304969544928657 = 73*149*54018521*2221
75 : 2111485077978050 = 2*5^2*61*230686501*3001
76 : 3416454622906707 = 3*37*113*29134601*9349
77 : 5527939700884757 = 13*89*4832521*988681
78 : 8944394323791464 = 2^3*79*233*521*859*135721
79 : 14472334024676221 = 157*92180471494753
80 : 23416728348467685 = 3*5*7*11*41*47*1601*3041*2161
81 : 37889062373143906 = 2*17*53*109*4373*19441*2269
82 : 61305790721611591 = 370248451*59369*2789
83 : 99194853094755497 = 99194853094755497� Prime
84 : 160500643816367088 = 2^4*3^2*13*29*83*211*281*421*1427
85 : 259695496911122585 = 5*1597*3415914041*9521
86 : 420196140727489673 = 433494437*6709*144481
87 : 679891637638612258 = 2*173*3821263937*514229
88 : 1100087778366101931 = 3*7*43*89*199*263*307*881*967
89 : 1779979416004714189 = 1069*1665088321800481
90 : 2880067194370816120 = 2^3*5*11*17*19*31*61*181*541*109441
91 : 4660046610375530309 = 13^2*233*159607993*741469
92 : 7540113804746346429 = 3*139*461*275449*28657*4969
93 : 12200160415121876738 = 2*557*4531100550901*2417
94 : 19740274219868223167 = 6643838879*2971215073
95 : 31940434634990099905 = 5*37*113*761*6773500*29641
96 : 51680708854858323072 = 2^7*3^2*7*23*47*7691103*3167*2207
97 : 83621143489848422977 = 193*389*3084989*361040209
98 : 135301852344706746049 = 13*29*97*599786069*6168709
99 : 218922995834555169026 = 2*17*89*197*18546805133*19801
100: 354224848179261915075 = 3*5^2*11*41*101*151*401*570601*3001


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