The Project Gutenberg EBook of The Number "e", by Unknown

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Title: The Number "e" Natural log

Author: Unknown

Release Date: June 20, 2008 [EBook #63]

Language: English

*** START OF THIS PROJECT GUTENBERG EBOOK THE NUMBER "E" ***

The Number "e"

Below is the value of 'e' to about 100,000 places, computed on the NCSA Cray Y-MP using the Brent multiple precision routines (published as Algorithm 524 in the March 1978 issue of Transactions on Mathematical Software). The method used was to compute first the alternating series for 1/e, then to invert this result. The time to compute 1/e was about 594 seconds, and the time to invert was about 97 seconds. No special optimization was attempted on the code, other than the default vectorization that the cft77 compiler attempts to do.

2.718281828459045235360287471352662497 7572470936999595749669676277240766303535 4759457138217852516642742746639193200305 9921817413596629043572900334295260595630 7381323286279434907632338298807531952510 1901157383418793070215408914993488416750 9244761460668082264800168477411853742345 4424371075390777449920695517027618386062 6133138458300075204493382656029760673711 3200709328709127443747047230696977209310 1416928368190255151086574637721112523897 8442505695369677078544996996794686445490 5987931636889230098793127736178215424999 2295763514822082698951936680331825288693 9849646510582093923982948879332036250944 3117301238197068416140397019837679320683 2823764648042953118023287825098194558153 0175671736133206981125099618188159304169 0351598888519345807273866738589422879228 4998920868058257492796104841984443634632 4496848756023362482704197862320900216099 0235304369941849146314093431738143640546 2531520961836908887070167683964243781405 9271456354906130310720851038375051011574 7704171898610687396965521267154688957035 0354021234078498193343210681701210056278 8023519303322474501585390473041995777709 3503660416997329725088687696640355570716 2268447162560798826517871341951246652010 3059212366771943252786753985589448969709 6409754591856956380236370162112047742722 8364896134225164450781824423529486363721 4174023889344124796357437026375529444833 7998016125492278509257782562092622648326 2779333865664816277251640191059004916449 9828931505660472580277863186415519565324 4258698294695930801915298721172556347546 3964479101459040905862984967912874068705 0489585867174798546677575732056812884592 0541334053922000113786300945560688166740 0169842055804033637953764520304024322566 1352783695117788386387443966253224985065 4995886234281899707733276171783928034946 5014345588970719425863987727547109629537 4152111513683506275260232648472870392076 4310059584116612054529703023647254929666 9381151373227536450988890313602057248176 5851180630364428123149655070475102544650 1172721155519486685080036853228183152196 0037356252794495158284188294787610852639 8139559900673764829224437528718462457803 6192981971399147564488262603903381441823 2625150974827987779964373089970388867782 2713836057729788241256119071766394650706 3304527954661855096666185664709711344474 0160704626215680717481877844371436988218 5596709591025968620023537185887485696522 0005031173439207321139080329363447972735 5955277349071783793421637012050054513263 8354400018632399149070547977805669785335 8048966906295119432473099587655236812859 0413832411607226029983305353708761389396 3917795745401613722361878936526053815584 1587186925538606164779834025435128439612 9460352913325942794904337299085731580290 9586313826832914771163963370924003168945 8636060645845925126994655724839186564209 7526850823075442545993769170419777800853 6273094171016343490769642372229435236612 5572508814779223151974778060569672538017 1807763603462459278778465850656050780844 2115296975218908740196609066518035165017 9250461950136658543663271254963990854914 4200014574760819302212066024330096412704 8943903971771951806990869986066365832322 7870937650226014929101151717763594460202 3249300280401867723910288097866605651183 2600436885088171572386698422422010249505 5188169480322100251542649463981287367765 8927688163598312477886520141174110913601 1649950766290779436460058519419985601626 4790761532103872755712699251827568798930 2761761146162549356495903798045838182323 3686120162437365698467037858533052758333 3793990752166069238053369887956513728559 3883499894707416181550125397064648171946 7083481972144888987906765037959036696724 9499254527903372963616265897603949857674 1397359441023744329709355477982629614591 4429364514286171585873397467918975712119 5618738578364475844842355558105002561149 2391518893099463428413936080383091662818 8115037152849670597416256282360921680751 5017772538740256425347087908913729172282 8611515915683725241630772254406337875931 0598267609442032619242853170187817729602 3541306067213604600038966109364709514141 7185777014180606443636815464440053316087 7831431744408119494229755993140118886833 1483280270655383300469329011574414756313 9997221703804617092894579096271662260740 7187499753592127560844147378233032703301 6823719364800217328573493594756433412994 3024850235732214597843282641421684878721 6733670106150942434569844018733128101079 4512722373788612605816566805371439612788 8732527373890392890506865324138062796025 9303877276977837928684093253658807339884 5721874602100531148335132385004782716937 6218004904795597959290591655470505777514 3081751126989851884087185640260353055837 3783242292418562564425502267215598027401 2617971928047139600689163828665277009752 7670697770364392602243728418408832518487 7047263844037953016690546593746161932384 0363893131364327137688841026811219891275 2230562567562547017250863497653672886059 6675274086862740791285657699631378975303 4660616669804218267724560530660773899624 2183408598820718646826232150802882863597 4683965435885668550377313129658797581050 1214916207656769950659715344763470320853 2156036748286083786568030730626576334697 7429563464371670939719306087696349532884 6833613038829431040800296873869117066666 1468000151211434422560238744743252507693 8707777519329994213727721125884360871583 4835626961661980572526612206797540621062 0806498829184543953015299820925030054982 5704339055357016865312052649561485724925 7386206917403695213533732531666345466588 5972866594511364413703313936721185695539 5210845840724432383558606310680696492485 1232632699514603596037297253198368423363 9046321367101161928217111502828016044880 5880238203198149309636959673583274202498 8245684941273860566491352526706046234450 5492275811517093149218795927180019409688 6698683703730220047531433818109270803001 7205935530520700706072233999463990571311 5870996357773590271962850611465148375262 0956534671329002599439766311454590268589 8979115837093419370441155121920117164880 5669459381311838437656206278463104903462 9395002945834116482411496975832601180073 1699437393506966295712410273239138741754 9230718624545432220395527352952402459038 0574450289224688628533654221381572213116 3288112052146489805180092024719391710555 3901139433166815158288436876069611025051 7100739276238555338627255353883096067164 4662370922646809671254061869502143176211 6681400975952814939072226011126811531083 8731761732323526360583817315103459573653 8223534992935822836851007810884634349983 5184044517042701893819942434100905753762 5776757111809008816418331920196262341628 8166521374717325477727783488774366518828 7521566857195063719365653903894493664217 6400312152787022236646363575550356557694 8886549500270853923617105502131147413744 1061344455441921013361729962856948991933 6918472947858072915608851039678195942983 3186480756083679551496636448965592948187 8517840387733262470519450504198477420141 8394773120281588684570729054405751060128 5258056594703046836344592652552137008068 7520095934536073162261187281739280746230 9468536782310609792159936001994623799343 4210687813497346959246469752506246958616 9091785739765951993929939955675427146549 1045686070209901260681870498417807917392 4071945996323060254707901774527513186809 9822847308607665368668555164677029113368 2756310722334672611370549079536583453863 7196235856312618387156774118738527722922 5947433737856955384562468010139057278710 1651296663676445187246565373040244368414 0814488732957847348490003019477888020460 3246608428753518483649591950828883232065 2212810419044804724794929134228495197002 2601310430062410717971502793433263407995 9605314460532304885289729176598760166678 1193793237245385720960758227717848336161 3582612896226118129455927462767137794487 5867536575448614076119311259585126557597 3457301533364263076798544338576171533346 2325270572005303988289499034259566232975 7824887350292591668258944568946559926584 5476269452878051650172067478541788798227 6806536650641910973434528878338621726156 2695826544782056729877564263253215942944 1803994321700009054265076309558846589517 1709147607437136893319469090981904501290 3070995662266203031826493657336984195557 7696378762491885286568660760056602560544 5711337286840205574416030837052312242587 2234388541231794813885500756893811249353 8631863528708379984569261998179452336408 7429591180747453419551420351726184200845 5091708456823682008977394558426792142734 7756087964427920270831215015640634134161 7166448069815483764491573900121217041547 8725919989438253649505147713793991472052 1952907939613762110723849429061635760459 6231253506068537651423115349665683715116 6042207963944666211632551577290709784731 5627827759878813649195125748332879377157 1459091064841642678309949723674420175862 2694021594079244805412553604313179926967 3915754241929660731239376354213923061787 6753958711436104089409966089471418340698 3629936753626215452472984642137528910798 8438130609555262272083751862983706678722 4430195793793786072107254277289071732854 8743743557819665117166183308811291202452 0404868220007234403502544820283425418788 4653602591506445271657700044521097735585 8976226554849416217149895323834216001140 6295071849042778925855274303522139683567 9018076406042138307308774460170842688272 2611771808426643336517800021719034492342 6426629226145600433738386833555534345300 4264818473989215627086095650629340405264 9432442614456659212912256488935696550091 5430642613425266847259491431423939884543 2486327461842846655985332312210466259890 1417121034460842716166190012571958707932 1756969854401339762209674945418540711844 6433946990162698351607848924514058940946 3952678073545797003070511636825194877011 8976400282764841416058720618418529718915 4019688253289309149665345753571427318482 0163846448324990378860690080727093276731 2758196656394114896171683298045513972950 6687604740915420428429993541025829113502 2416907694316685742425225090269390348148 5645130306992519959043638402842926741257 3422447765584177886171737265462085498294 4989467873509295816526320722589923687684 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8553335727977220554356812630253574821658 5414000805314820697137262149755576051890 4816223767904149267426000710459226953148 3518813746388710427354476762357793399397 0632396604969145303273887874557905934937 7723201429548033450006952569809352828877 8371067058556774948137385863038576282304 0694005665340584887527005308832459182183 4943180498341996399814587734358631159405 7044368351528538360944295596436067609022 1741896883548131643997437764158365242234 6426195973904554506806952328507518687194 4906476779188672030641863075105351214985 1051207313846648717547518382979990189317 7515506399810164664145921024068382946032 0853555405814715927322067756766921366408 1505900806952540610628536408293276621931 9399338616238360691117677854482361293268 5819996523927548842743541440288453645559 5124735546139403154952097397051896240157 9768326394506332304521926450496517354667 7569929571898969047090273028854494541669 9791992948038254980285946029052763145580 3165140662291712234293758061439934849143 6210799357673731794896425248881372043557 9287511385856973381976083524423240466778 0209483996399466848337747067254836188482 7300064831916382602211055522124673332318 4463005504481849916996622087746140216157 0210296033185887273332987793525701823938 6124402686833955587060775816995439846956 8540671174444932479519572159419645863736 1269155264575747869859642421765928968623 8350637043393981167139754473622862550680 3682664135541448048997721373174119199970 0172939073033508690209225191244473932783 7615632181084289820770697413870705326611 7683698647741787180202729412982310888796 8318808543673278068797716591116542244538 0662586171172949803824887998650406156397 5629936962809358189761491017145343556659 5427570641944088338168411111662007597872 4413708233391788611470822865753107853667 4695018462140736493917366254937783014074 3026684221503351177364718538723240404210 3790775026602011481493548222891666364078 2450166815341213505278578539332606110249 8022730936367402135153864316930152674605 3606435173215470109144065087882363676423 6831187390937464232609021646365627553976 8340194829327957506243996452725786244003 7598342205080893512902312247597064410567 8361870877172333555465482598906861201410 1072224659040085537982352538851716235182 5651848220312521495070037830041121621212 6052726059944320443056274522916128891766 8141606391312359753503903200775295873924 1247645185080916391145929607115634420434 7133544720981178461451077872399140606290 2282766643092649005922498102910687594345 3385833039117874757597706595357097964001 2224092199031158229259667913153991561438 0701292607801970225896629233681543124994 1225946002339947222817105660393187722680 0493833148980338548909468685130789292064 2428191747958661999444111962087304980643 8500685262025843284208558233856693664984 9720817046135376163584015342840674118587 5815465145982702286766718553093119233401 9128617061336487318319756081256946008940 2953094429119590295968563923037689976327 4622839007354571445964141082292859222393 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End of the Project Gutenberg EBook of The Number "e", by Unknown

*** END OF THIS PROJECT GUTENBERG EBOOK THE NUMBER "E" ***

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