Approximation of Pi How likely is it that you would recommend this tool to a friend? The first million digits of pi () are below. You need to compile the DigitViewer provided by A. Yee in order to read these files. The first verse of the Hebrew Bible (Genesis 1:1) is: .. Image Width: px. Teach your students about the current record holder for reciting the digits of pi. WebDigits of Pi (1 Hundred to 1 Million) Want some digits of Pi? Write something on how to improve this tool: If you have websites, you can embed this tool to increase your visitors' engagement. If youre only interested in the first thousand or the first million digits of pi, you can download them as text files (.txt) directly from the links below. Files containing digits: 10 50 100 1000 10000 100000 1 million digits of Pi (Might take a while The first million digits of pi () are below. WebMillions of digits have been calculated, with the record held (as of September 1999) by a supercomputer at the University of Tokyo that calculated 206,158,430,000 digits. Use our pi calculator to get the value of pi with with any number of digits or decimal places until one hundred thousand. You may subscribe to my blog and get notifications of new posts. ABOUT THE AUTHOR(S) Digits: The first 50 decimal digits are 3.14159265358979323846264338327950288419716939937510 (see OEIS: A000796) Why not calculate the circumference of a circle using pi here. The Probability/Statistics oriented reader is challenged to calculate the probability of this finding happening by chance, (hint: total possible number of such sequences is nine to the power of 7, namely, 4.8 millions!). WebThe first 10 digits of pi () are 3.1415926535. WebFor the first n digits of pi, we can model the number of occurrences of any specific digit as the sum of n independent identically distributed Bernoulli random variables each with 10% (p=0.1) probability of being one and 90% (q=0.9) probability of being zero. (first 1,000 digits) More about the History of Pi can be found at the Mac Tutor Math History archives. To 39 decimal places, pi is 3.141592653589793238462643383279502884197. All decimal digits are now available in the download section. By the start of the 20th century, about 500 digits of pi were known. First ten digits of Pi are: 3.141592653 (Last digit not rounded). To 39 decimal places, pi is 3.141592653589793238462643383279502884197. The total size is 8.8 Terabytes. All Digits of My Pi World Record Pi is not only 3.1415926535. on And the Earth (Genesis 1:1) Delivers the Sequence of First Seven Decimal Digits ofPi, Click to share on Facebook (Opens in new window), Click to share on Twitter (Opens in new window), Click to email a link to a friend (Opens in new window), Click to share on LinkedIn (Opens in new window), Click to share on Reddit (Opens in new window), Click to share on Tumblr (Opens in new window), Click to share on Pinterest (Opens in new window), Click to share on Pocket (Opens in new window), Click to share on Telegram (Opens in new window), Click to share on WhatsApp (Opens in new window), Click to share on Skype (Opens in new window), Current Detoxification of IsraeliSociety, My Research on the Bible and Biblical Hebrew, "And the Earth" (Genesis 1:1) Delivers the Sequence of First Seven Decimal Digits of Pi, Kavod The Most Peculiar Word in Biblical Hebrew, And Elohim Saw Ki Tov (that it was good) (Gen. 1) A Different Viewpoint, The Two Books of the Divine and Their Scientific Linkage, Linkage between Torah First Verse and Pi Some of Evron's Findings. Or simply . To 39 decimal places, pi is 3.141592653589793238462643383279502884197. Pi Digits Calculator References: pi to 10,000 digits 100,000 Digits of Pi Digits of Pi Calculations WebThe table below is a brief chronology of computed numerical values of, or bounds on, the mathematical constant pi ().For more detailed explanations for some of these calculations, see Approximations of .. Why not calculate the circumference of a circle using pi here. 4658718895 1242883556 4671544483 9873493812 1206904813 WebI want to be able to pass a number into a method and get back PI calculated to that number of decimal places. As announced in November 2016, Ive computed22.4 trillion digits of pi. WebThe table below is a brief chronology of computed numerical values of, or bounds on, the mathematical constant pi ().For more detailed explanations for some of these calculations, see Approximations of .. Why not calculate the circumference of a circle using pi here. WebThe table below is a brief chronology of computed numerical values of, or bounds on, the mathematical constant pi ().For more detailed explanations for some of these calculations, see Approximations of .. The first million digits of pi () are below. The proposed solutions using np.pi, math.pi, etc only only work to double precision (~14 digits), to get higher precision you need to use multi-precision, for example the mpmath package >>> from mpmath import mp >>> mp.dps = 20 # set number of digits >>> print(mp.pi) 3.1415926535897932385 Or please share the result via: This tool is used to generate first n (up to 100,000) digits of Pi. The digits are saved as zip-compressed text files in chuncks of one hundred billion digits. The average of such is np which, for n=10,000,000 (ten million) is 1,000,000. Approximation of Pi WebWhile it is not known if Pi is normal (meaning the digits in its base-expansion are equally distributed) to any base, its known digits are very uniformly distributed. Multiplying larger numbers is often the best first move when you have a triple-digit target. The last 100 decimal digits of the latest 2022 world record computation are:. The first 10 million decimal places of Pi show at least six repetitions of the first 6 digits of Pi, 314159. If you likeFirst n Digits of Pi, please consider adding a link to this tool by copy/paste the following code: Please input an integer number (less than 100,000), The first 10 digits of Pi contains:0: 01: 22: 13: 24: 15: 26: 17: 08: 09: 1, Share ThisResult Send Feedback Download PDF Result Download JPG Result. fineartamerica.com/profiles/cristian-vasile, worldcomp-proceedings.com/proc/p2015/CSC2676.pdf. The first 10 million decimal places of Pi show at least six repetitions of the first 6 digits of Pi, 314159. 4658718895 1242883556 4671544483 9873493812 1206904813 You can buy the It Happened One Pi Day: The Easy Way to Memorize Pi book at one of 20+ online bookstores with BookScouter, the website that helps find the best deal across the web. 3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 What are the beginning digits of pi? One of the most puzzling unsolved mysteries in the world is a crop circle with reference to the first 10 digits of . WebOne billion (10^9) digits of pi (actually 1,000,000,001 digits The MD5 checksum is in pi-billion.md5. if you count the initial "3") are in the file pi-billion.txt. WebThe first 10 and 50 digits of Pi: 3.14159265 35897932384626433832795028841971693993751 More digits: Scroll down to see the first 10,000 digits of Pi at the bottom of this page, or grab even more using the links below. WebFirst 10,000 Decimals of Phi () See also: Code-Breaking overview | Babylonian numerals | Big number calculator | Binary to decimal | Decimal to binary | Decimal to hex | Euler number | Hex to decimal | Mayan numerals | Modular exponentiation | Modular multiplicative inverse | Pi | Prime numbers | Roman numerals First ten digits of Pi are: 3.141592653 (Last digit not rounded). As explained and demonstrated elsewhere (here2), there are two types of Gematria values: regular Gematria and small Gematria. Get all digits of my pi world record to create music, visualisations, games or scientific publications. WebThe first 10 digits of Pi contains: 0: 0 1: 2 2: 1 3: 2 4: 1 5: 2 6: 1 7: 0 8: 0 9: 1 Share This Result Send Feedback Download PDF Result Download JPG Result Drag the slider to change the image width. Get all digits of my pi world record to create music, visualisations, games or scientific publications. Get all digits of my pi world record to create music, visualisations, games or scientific publications. If you have no idea what to do with all these digits, have a look at these inspirations. Here are the two sequences, side by side: Pi: {1, 4, 1, 5, 9, 2, 6}; Genesis 1:1: {6, 1, 4, 5, 1, 2, 9}. The price for the book starts from $10.53 on Amazon and is available from 14 sellers at the moment. WebOne billion (10^9) digits of pi (actually 1,000,000,001 digits The MD5 checksum is in pi-billion.md5. Maximize the fun you can have this Pi Day by checking out our. 3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 What are the beginning digits of pi? Random Name Picker - Spin The Wheel to Pick The Winner, Kinematics Calculator - using three different kinematic equations, Quote Search - Search Quotes by Keywords And Authors, Percent Off Calculator - Calculate Percentage, Amortization Calculator - Calculate Loan Payments. WebFor the first n digits of pi, we can model the number of occurrences of any specific digit as the sum of n independent identically distributed Bernoulli random variables each with 10% (p=0.1) probability of being one and 90% (q=0.9) probability of being zero. Digits: The first 50 decimal digits are 3.14159265358979323846264338327950288419716939937510 (see OEIS: A000796) Choose how many digits and press "Get": The price for the book starts from $10.53 on Amazon and is available from 14 sellers at the moment. Currently, the best offer comes from and is $ for the . Multiplying larger numbers is often the best first move when you have a triple-digit target. In this post, we address the relationship between Pi and the only two biblical Hebrew words of Genesis 1:1 relating to the physical world (marked in red), namely: And the Earth. WebCalculate the first 10 Pi Digits 10 digits. (first 1,000 digits) More about the History of Pi can be found at the Mac Tutor Math History archives. In November 2016 I made a data set with one trillion decimal digits available for download. Indeed amazing! JA0HXV has calculated 100 billion digits of pi and posted them at the website: WebThe first 10 digits of Pi contains: 0: 0 1: 2 2: 1 3: 2 4: 1 5: 2 6: 1 7: 0 8: 0 9: 1 Share This Result Send Feedback Download PDF Result Download JPG Result Drag the slider to change the image width. You can change data-width to any value based on your website layout. WebMillions of digits have been calculated, with the record held (as of September 1999) by a supercomputer at the University of Tokyo that calculated 206,158,430,000 digits. Digits: The first 50 decimal digits are 3.14159265358979323846264338327950288419716939937510 (see OEIS: A000796) Each file contains 200 billion digits and has a size of 78 Gigabytes. We have written several posts about the relationships between Pi and the first verse of the Bible, as revealed in Oren Evron research work (for example, here1, here2, here3). The first verse of the Hebrew Bible (Genesis 1:1) is: .. Change), You are commenting using your Twitter account. 56 flavors of Pi proudly produced by LibriVox volunteers to celebrate Pi Day, 2008. Or simplylearn about pi here. With the digits of pi you can do more than calculating a circles circumference or area. By embedding miniwebtool widgets on your site, you are agreeing to our Terms of Service. 3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 What are the beginning digits of pi? (3/14) Don't worry, you don't have to listen to an infinite string of numbers: each reader presents just the first 50 digits in styles of their own choosing. (3/14) Don't worry, you don't have to listen to an infinite string of numbers: each reader presents just the first 50 digits in styles of their own choosing. http://ja0hxv.calico.jp/pai/estart.html, Kanada, et al. (LogOut/ Pi Digits Calculator References: pi to 10,000 digits 100,000 Digits of Pi Digits of Pi Calculations I wanted to see some statistics about the relationship between terrestrial fauna and the laws of food purity: how amazing that in the desert G-d delimited the relationship of characteristics of each clean animal and so far no one has been able to prove otherwise. have calculated 1,241,100,000,000 (over 1 trillion digits of pi) in December 2002 but have not posted them: Get all digits of my pi world record to create music, visualisations, games or scientific publications. Or simply . All Digits of My Pi World Record Pi is not only 3.1415926535. As announced in November 2016, Ive computed22.4 trillion digits of pi. Or simply . have calculated 1,241,100,000,000 (over 1 trillion ABOUT THE AUTHOR(S) Each file has a size of 43.7 Gigabytes. In total you have to download more than 430 Gigabytes. Choose how many digits and press "Get": Let us examine small Gematria of the seven letters comprising the two marked words : First letter: 6 (letter ); Second letter: 1 (letter ); Third letter: 4 (letter , value of 400 in regular Gematria); Fourth letter: 5 (letter ); Fifth letter:1 (letter ); Sixth letter: 2 (letter , value of 200 in regular Gematria); Seventh letter: 9 (letter , value of 90 in regular Gematria). Change), You are commenting using your Facebook account. WebBecause pi is irrational (not equal to the ratio of any two whole numbers), its digits do not repeat, and an approximation such as 3.14 or 22/7 is often used for everyday calculations. Your input will help us to improve our services. Teach your students about the current record holder for reciting the digits of pi. If you need some inspiration about what you could do with all these digits of pi, here are some sites to look at: Random walk based on pi: pi2e.ch/blog/2016/07/11/the-pi-protein/3D scroll with the decimal digits of pi: pi2e.ch/blog/2017/07/14/the-pi-scroll/Pi art by M. Krzywinski: mkweb.bcgsc.ca/pi/art/Pi graphics by Cristian Vasile: fineartamerica.com/profiles/cristian-vasile, Pentatonic pi music: www.youtube.com/watch?v=HV1-AjwDJwMPi on a harmonic scale: www.youtube.com/watch?v=wM-x3pUcdeoPi symphony: www.pisymphony.com/gpage.html, Normality test of pi: arxiv.org/abs/1612.00489v1Fractal analysis of pi: arxiv.org/abs/1608.00430Pi as random number generator: worldcomp-proceedings.com/proc/p2015/CSC2676.pdf, My own little game: pi2e.ch/blog/2018/11/08/the-pi-game/Memorize digits of pi: www.sporcle.com/games/g/piPi search: www.angio.net/pi/digits.htmPie decoration on pi day: www.buzzfeed.com/-pie-ideas-recipesPrint one million digits on a mile long paper: www.youtube.com/watch?v=0r3cEKZiLmgPublish a book with the digits of pi: 3.141.eu/mein-pi-buch/. 4658718895 1242883556 4671544483 9873493812 1206904813 Choose how many digits and press "Get": Note that, ignoring the first digit in Genesis 1:1 (6), the remaining three pairs of digits preserve same order as in Pi. Drag the slider to change the image width. Preview the result image below then click "Download JPG File" button when satisfied. The first 10 million decimal places of Pi show at least six repetitions of the first 6 digits of Pi, 314159. I have verified that the files can be accessed when not being logged in with a google account. (3/14) Don't worry, you don't have to listen to an infinite string of numbers: each reader presents just the first 50 digits in styles of their own choosing. WebThe first 10 and 50 digits of Pi: 3.14159265 35897932384626433832795028841971693993751 More digits: Scroll down to see the first 10,000 digits of Pi at the bottom of this page, or grab even more using the links below. Rajveer Meena recited 70,000 digits in 9 hours, 7 minutes (while blindfolded) on March 21, 2015. Maximize the fun you can have this Pi Day by checking out our. All decimal digits are now available in the download section. You can buy the It Happened One Pi Day: The Easy Way to Memorize Pi book at one of 20+ online bookstores with BookScouter, the website that helps find the best deal across the web. WebI want to be able to pass a number into a method and get back PI calculated to that number of decimal places. I always come back here to see new discoveries. All Digits of My Pi World Record Pi is not only 3.1415926535. Celebrations took place on 3/14/15 at 9:26:53 a.m., the numerical date and time together representing the first 10 digits of pi, 3.141592653. WebThe first 10 and 50 digits of Pi: 3.14159265 35897932384626433832795028841971693993751 More digits: Scroll down to see the first 10,000 digits of Pi at the bottom of this page, or grab even more using the links below. If you encounter permission issues, this could be due to restrictions imposed by your domain administrator. WebBecause pi is irrational (not equal to the ratio of any two whole numbers), its digits do not repeat, and an approximation such as 3.14 or 22/7 is often used for everyday calculations. Then have them memorize digits using this Preview the result image below then click "Download JPG File" button when satisfied. Image Width: px. WebFirst 10,000 Decimals of Phi () See also: Code-Breaking overview | Babylonian numerals | Big number calculator | Binary to decimal | Decimal to binary | Decimal to hex | Euler number | Hex to decimal | Mayan numerals | Modular exponentiation | Modular multiplicative inverse | Pi | Prime numbers | Roman numerals Pi Digits Calculator References: pi to 10,000 digits 100,000 Digits of Pi Digits of Pi Calculations Currently, the best offer comes from and is $ for the . As announced in November 2016, Ive computed 22.4 trillion digits of pi. The MD5 checksum is in pi-billion.md5. Since February 2019 you can download all decimal digits from my Google drive account at DECTRIS. Approximation of Pi One of the most puzzling unsolved mysteries in the world is a crop circle with reference to the first 10 digits of . JA0HXV has calculated 100 billion digits of pi and posted them at the website: http://ja0hxv.calico.jp/pai/estart.html Kanada, et al. What are the first 10 digits of pi? WebRecite up to 150 digits of pi using your memory, how many digits can you memorize? All decimal digits are now available in the download section. Then have them memorize digits using this With computation advances, thanks to computers, we now know more than the first six billion digits of pi. The latter is traditionally defined in Jewish scholarship as the sum total of the Gematria values of individual letters comprising the word, with the zeros deleted; for example, the letterYod(10) is counted as 1, the letterResh(200) as 2 and so on. The first verse of the Hebrew Bible (Genesis 1:1) is: . ABOUT THE AUTHOR(S) WebThe first 10 digits of pi () are 3.1415926535. With computation advances, thanks to computers, we now know more than the first six billion digits of pi. 3.14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706798214808651328230664709384460955058223172535940812848111745028410270193852110555964462294895493038196442881097566593344612847564823378678316527120190914564856692346034861045432664821339360726024914127372458700660631558817488152092096282925409171536436789259036001133053054882046652138414695194151160943305727036575959195309218611738193261179310511854807446237996274956735188575272489122793818301194912983367336244065664308602139494639522473719070217986094370277053921717629317675238467481846766940513200056812714526356082778577134275778960917363717872146844090122495343014654958537105079227968925892354201995611212902196086403441815981362977477130996051870721134999999837297804995105973173281609631859502445945534690830264252230825334468503526193118817101000313783875288658753320838142061717766914730359825349042875546873115956286388235378759375195778185778053217122680661300192787661119590921642019893809525720106548586327886593615338182796823030195203530185296899577362259941389124972177528347913151557485724245415069595082953311686172785588907509838175463746493931925506040092770167113900984882401285836160356370766010471018194295559619894676783744944825537977472684710404753464620804668425906949129331367702898915210475216205696602405803815019351125338243003558764024749647326391419927260426992279678235478163600934172164121992458631503028618297455570674983850549458858692699569092721079750930295532116534498720275596023648066549911988183479775356636980742654252786255181841757467289097777279380008164706001614524919217321721477235014144197356854816136115735255213347574184946843852332390739414333454776241686251898356948556209921922218427255025425688767179049460165346680498862723279178608578438382796797668145410095388378636095068006422512520511739298489608412848862694560424196528502221066118630674427862203919494504712371378696095636437191728746776465757396241389086583264599581339047802759009946576407895126946839835259570982582262052248940772671947826848260147699090264013639443745530506820349625245174939965143142980919065925093722169646151570985838741059788595977297549893016175392846813826868386894277415599185592524595395943104997252468084598727364469584865383673622262609912460805124388439045124413654976278079771569143599770012961608944169486855584840635342207222582848864815845602850601684273945226746767889525213852254995466672782398645659611635488623057745649803559363456817432411251507606947945109659609402522887971089314566913686722874894056010150330861792868092087476091782493858900971490967598526136554978189312978482168299894872265880485756401427047755513237964145152374623436454285844479526586782105114135473573952311342716610213596953623144295248493718711014576540359027993440374200731057853906219838744780847848968332144571386875194350643021845319104848100537061468067491927819119793995206141966342875444064374512371819217999839101591956181467514269123974894090718649423196156794520809514655022523160388193014209376213785595663893778708303906979207734672218256259966150142150306803844773454920260541466592520149744285073251866600213243408819071048633173464965145390579626856100550810665879699816357473638405257145910289706414011097120628043903975951567715770042033786993600723055876317635942187312514712053292819182618612586732157919841484882916447060957527069572209175671167229109816909152801735067127485832228718352093539657251210835791513698820914442100675103346711031412671113699086585163983150197016515116851714376576183515565088490998985998238734552833163550764791853589322618548963213293308985706420467525907091548141654985946163718027098199430992448895757128289059232332609729971208443357326548938239119325974636673058360414281388303203824903758985243744170291327656180937734440307074692112019130203303801976211011004492932151608424448596376698389522868478312355265821314495768572624334418930396864262434107732269780280731891544110104468232527162010526522721116603966655730925471105578537634668206531098965269186205647693125705863566201855810072936065987648611791045334885034611365768675324944166803962657978771855608455296541266540853061434443185867697514566140680070023787765913440171274947042056223053899456131407112700040785473326993908145466464588079727082668306343285878569830523580893306575740679545716377525420211495576158140025012622859413021647155097925923099079654737612551765675135751782966645477917450112996148903046399471329621073404375189573596145890193897131117904297828564750320319869151402870808599048010941214722131794764777262241425485454033215718530614228813758504306332175182979866223717215916077166925474873898665494945011465406284336639379003976926567214638530673609657120918076383271664162748888007869256029022847210403172118608204190004229661711963779213375751149595015660496318629472654736425230817703675159067350235072835405670403867435136222247715891504953098444893330963408780769325993978054193414473774418426312986080998886874132604721569516239658645730216315981931951673538129741677294786724229246543668009806769282382806899640048243540370141631496589794092432378969070697794223625082216889573837986230015937764716512289357860158816175578297352334460428151262720373431465319777741603199066554187639792933441952154134189948544473456738316249934191318148092777710386387734317720754565453220777092120190516609628049092636019759882816133231666365286193266863360627356763035447762803504507772355471058595487027908143562401451718062464362679456127531813407833033625423278394497538243720583531147711992606381334677687969597030983391307710987040859133746414428227726346594704745878477872019277152807317679077071572134447306057007334924369311383504931631284042512192565179806941135280131470130478164378851852909285452011658393419656213491434159562586586557055269049652098580338507224264829397285847831630577775606888764462482468579260395352773480304802900587607582510474709164396136267604492562742042083208566119062545433721315359584506877246029016187667952406163425225771954291629919306455377991403734043287526288896399587947572917464263574552540790914513571113694109119393251910760208252026187985318877058429725916778131496990090192116971737278476847268608490033770242429165130050051683233643503895170298939223345172201381280696501178440874519601212285993716231301711444846409038906449544400619869075485160263275052983491874078668088183385102283345085048608250393021332197155184306354550076682829493041377655279397517546139539846833936383047461199665385815384205685338621867252334028308711232827892125077126294632295639898989358211674562701021835646220134967151881909730381198004973407239610368540664319395097901906996395524530054505806855019567302292191393391856803449039820595510022635353619204199474553859381023439554495977837790237421617271117236434354394782218185286240851400666044332588856986705431547069657474585503323233421073015459405165537906866273337995851156257843229882737231989875714159578111963583300594087306812160287649628674460477464915995054973742562690104903778198683593814657412680492564879855614537234786733039046883834363465537949864192705638729317487233208376011230299113679386270894387993620162951541337142489283072201269014754668476535761647737946752004907571555278196536213239264061601363581559074220202031872776052772190055614842555187925303435139844253223415762336106425063904975008656271095359194658975141310348227693062474353632569160781547818115284366795706110861533150445212747392454494542368288606134084148637767009612071512491404302725386076482363414334623518975766452164137679690314950191085759844239198629164219399490723623464684411739403265918404437805133389452574239950829659122850855582157250310712570126683024029295252201187267675622041542051618416348475651699981161410100299607838690929160302884002691041407928862150784245167090870006992821206604183718065355672525325675328612910424877618258297651579598470356222629348600341587229805349896502262917487882027342092222453398562647669149055628425039127577102840279980663658254889264880254566101729670266407655904290994568150652653053718294127033693137851786090407086671149655834343476933857817113864558736781230145876871266034891390956200993936103102916161528813843790990423174733639480457593149314052976347574811935670911013775172100803155902485309066920376719220332290943346768514221447737939375170344366199104033751117354719185504644902636551281622882446257591633303910722538374218214088350865739177150968288747826569959957449066175834413752239709683408005355984917541738188399944697486762655165827658483588453142775687900290951702835297163445621296404352311760066510124120065975585127617858382920419748442360800719304576189323492292796501987518721272675079812554709589045563579212210333466974992356302549478024901141952123828153091140790738602515227429958180724716259166854513331239480494707911915326734302824418604142636395480004480026704962482017928964766975831832713142517029692348896276684403232609275249603579964692565049368183609003238092934595889706953653494060340216654437558900456328822505452556405644824651518754711962184439658253375438856909411303150952617937800297412076651479394259029896959469955657612186561967337862362561252163208628692221032748892186543648022967807057656151446320469279068212073883778142335628236089632080682224680122482611771858963814091839036736722208883215137556003727983940041529700287830766709444745601345564172543709069793961225714298946715435784687886144458123145935719849225284716050492212424701412147805734551050080190869960330276347870810817545011930714122339086639383395294257869050764310063835198343893415961318543475464955697810382930971646514384070070736041123735998434522516105070270562352660127648483084076118301305279320542746286540360367453286510570658748822569815793678976697422057505968344086973502014102067235850200724522563265134105592401902742162484391403599895353945909440704691209140938700126456001623742880210927645793106579229552498872758461012648369998922569596881592056001016552563756785667227966198857827948488558343975187445455129656344348039664205579829368043522027709842942325330225763418070394769941597915945300697521482933665556615678736400536665641654732170439035213295435291694145990416087532018683793702348886894791510716378529023452924407736594956305100742108714261349745956151384987137570471017879573104229690666702144986374645952808243694457897723300487647652413390759204340196340391147320233807150952220106825634274716460243354400515212669324934196739770415956837535551667302739007497297363549645332888698440611964961627734495182736955882207573551766515898551909866653935494810688732068599075407923424023009259007017319603622547564789406475483466477604114632339056513433068449539790709030234604614709616968868850140834704054607429586991382966824681857103188790652870366508324319744047718556789348230894310682870272280973624809399627060747264553992539944280811373694338872940630792615959954626246297070625948455690347119729964090894180595343932512362355081349490043642785271383159125689892951964272875739469142725343669415323610045373048819855170659412173524625895487301676002988659257866285612496655235338294287854253404830833070165372285635591525347844598183134112900199920598135220511733658564078264849427644113763938669248031183644536985891754426473998822846218449008777697763127957226726555625962825427653183001340709223343657791601280931794017185985999338492354956400570995585611349802524990669842330173503580440811685526531170995708994273287092584878944364600504108922669178352587078595129834417295351953788553457374260859029081765155780390594640873506123226112009373108048548526357228257682034160504846627750450031262008007998049254853469414697751649327095049346393824322271885159740547021482897111777923761225788734771881968254629812686858170507402725502633290449762778944236216741191862694396506715157795867564823993917604260176338704549901761436412046921823707648878341968968611815581587360629386038101712158552726683008238340465647588040513808016336388742163714064354955618689641122821407533026551004241048967835285882902436709048871181909094945331442182876618103100735477054981596807720094746961343609286148494178501718077930681085469000944589952794243981392135055864221964834915126390128038320010977386806628779239718014613432445726400973742570073592100315415089367930081699805365202760072774967458400283624053460372634165542590276018348403068113818551059797056640075094260878857357960373245141467867036880988060971642584975951380693094494015154222219432913021739125383559150310033303251117491569691745027149433151558854039221640972291011290355218157628232831823425483261119128009282525619020526301639114772473314857391077758744253876117465786711694147764214411112635835538713610110232679877564102468240322648346417663698066378576813492045302240819727856471983963087815432211669122464159117767322532643356861461865452226812688726844596844241610785401676814208088502800541436131462308210259417375623899420757136275167457318918945628352570441335437585753426986994725470316566139919996826282472706413362221789239031760854289437339356188916512504244040089527198378738648058472689546243882343751788520143956005710481194988423906061369573423155907967034614914344788636041031823507365027785908975782727313050488939890099239135033732508559826558670892426124294736701939077271307068691709264625484232407485503660801360466895118400936686095463250021458529309500009071510582362672932645373821049387249966993394246855164832611341461106802674466373343753407642940266829738652209357016263846485285149036293201991996882851718395366913452224447080459239660281715655156566611135982311225062890585491450971575539002439315351909021071194573002438801766150352708626025378817975194780610137150044899172100222013350131060163915415895780371177927752259787428919179155224171895853616805947412341933984202187456492564434623925319531351033114763949119950728584306583619353693296992898379149419394060857248639688369032655643642166442576079147108699843157337496488352927693282207629472823815374099615455987982598910937171262182830258481123890119682214294576675807186538065064870261338928229949725745303328389638184394477077940228435988341003583854238973542439564755568409522484455413923941000162076936368467764130178196593799715574685419463348937484391297423914336593604100352343777065888677811394986164787471407932638587386247328896456435987746676384794665040741118256583788784548581489629612739984134427260860618724554523606431537101127468097787044640947582803487697589483282412392929605829486191966709189580898332012103184303401284951162035342801441276172858302435598300320420245120728725355811958401491809692533950757784000674655260314461670508276827722235341911026341631571474061238504258459884199076112872580591139356896014316682831763235673254170734208173322304629879928049085140947903688786878949305469557030726190095020764334933591060245450864536289354568629585313153371838682656178622736371697577418302398600659148161640494496501173213138957470620884748023653710311508984279927544268532779743113951435741722197597993596852522857452637962896126915723579866205734083757668738842664059909935050008133754324546359675048442352848747014435454195762584735642161981340734685411176688311865448937769795665172796623267148103386439137518659467300244345005449953997423723287124948347060440634716063258306498297955101095418362350303094530973358344628394763047756450150085075789495489313939448992161255255977014368589435858775263796255970816776438001254365023714127834679261019955852247172201777237004178084194239487254068015560359983905489857235467456423905858502167190313952629445543913166313453089390620467843877850542393905247313620129476918749751910114723152893267725339181466073000890277689631148109022097245207591672970078505807171863810549679731001678708506942070922329080703832634534520380278609905569001341371823683709919495164896007550493412678764367463849020639640197666855923356546391383631857456981471962108410809618846054560390384553437291414465134749407848844237721751543342603066988317683310011331086904219390310801437843341513709243530136776310849135161564226984750743032971674696406665315270353254671126675224605511995818319637637076179919192035795820075956053023462677579439363074630569010801149427141009391369138107258137813578940055995001835425118417213605572752210352680373572652792241737360575112788721819084490061780138897107708229310027976659358387589093956881485602632243937265624727760378908144588378550197028437793624078250527048758164703245812908783952324532378960298416692254896497156069811921865849267704039564812781021799132174163058105545988013004845629976511212415363745150056350701278159267142413421033015661653560247338078430286552572227530499988370153487930080626018096238151613669033411113865385109193673938352293458883225508870645075394739520439680790670868064450969865488016828743437861264538158342807530618454859037982179945996811544197425363443996029025100158882721647450068207041937615845471231834600726293395505482395571372568402322682130124767945226448209102356477527230820810635188991526928891084555711266039650343978962782500161101532351605196559042118449499077899920073294769058685778787209829013529566139788848605097860859570177312981553149516814671769597609942100361835591387778176984587581044662839988060061622984861693533738657877359833616133841338536842119789389001852956919678045544828584837011709672125353387586215823101331038776682721157269495181795897546939926421979155233857662316762754757035469941489290413018638611943919628388705436777432242768091323654494853667680000010652624854730558615989991401707698385483188750142938908995068545307651168033373222651756622075269517914422528081651716677667279303548515420402381746089232839170327542575086765511785939500279338959205766827896776445318404041855401043513483895312013263783692835808271937831265496174599705674507183320650345566440344904536275600112501843356073612227659492783937064784264567633881880756561216896050416113903906396016202215368494109260538768871483798955999911209916464644119185682770045742434340216722764455893301277815868695250694993646101756850601671453543158148010545886056455013320375864548584032402987170934809105562116715468484778039447569798042631809917564228098739987669732376957370158080682290459921236616890259627304306793165311494017647376938735140933618332161428021497633991898354848756252987524238730775595559554651963944018218409984124898262367377146722606163364329640633572810707887581640438148501884114318859882769449011932129682715888413386943468285900666408063140777577257056307294004929403024204984165654797367054855804458657202276378404668233798528271057843197535417950113472736257740802134768260450228515797957976474670228409995616015691089038458245026792659420555039587922981852648007068376504183656209455543461351341525700659748819163413595567196496540321872716026485930490397874895890661272507948282769389535217536218507962977851461884327192232238101587444505286652380225328438913752738458923844225354726530981715784478342158223270206902872323300538621634798850946954720047952311201504329322662827276321779088400878614802214753765781058197022263097174950721272484794781695729614236585957820908307332335603484653187302930266596450137183754288975579714499246540386817992138934692447419850973346267933210726868707680626399193619650440995421676278409146698569257150743157407938053239252394775574415918458215625181921552337096074833292349210345146264374498055961033079941453477845746999921285999993996122816152193148887693880222810830019860165494165426169685867883726095877456761825072759929508931805218729246108676399589161458550583972742098090978172932393010676638682404011130402470073508578287246271349463685318154696904669686939254725194139929146524238577625500474852954768147954670070503479995888676950161249722820403039954632788306959762493615101024365553522306906129493885990157346610237122354789112925476961760050479749280607212680392269110277722610254414922157650450812067717357120271802429681062037765788371669091094180744878140490755178203856539099104775941413215432844062503018027571696508209642734841469572639788425600845312140659358090412711359200419759851362547961606322887361813673732445060792441176399759746193835845749159880976674470930065463424234606342374746660804317012600520559284936959414340814685298150539471789004518357551541252235905906872648786357525419112888773717663748602766063496035367947026923229718683277173932361920077745221262475186983349515101986426988784717193966497690708252174233656627259284406204302141137199227852699846988477023238238400556555178890876613601304770984386116870523105531491625172837327286760072481729876375698163354150746088386636406934704372066886512756882661497307886570156850169186474885416791545965072342877306998537139043002665307839877638503238182155355973235306860430106757608389086270498418885951380910304235957824951439885901131858358406674723702971497850841458530857813391562707603563907639473114554958322669457024941398316343323789759556808568362972538679132750555425244919435891284050452269538121791319145135009938463117740179715122837854601160359554028644059024964669307077690554810288502080858008781157738171917417760173307385547580060560143377432990127286772530431825197579167929699650414607066457125888346979796429316229655201687973000356463045793088403274807718115553309098870255052076804630346086581653948769519600440848206596737947316808641564565053004988161649057883115434548505266006982309315777650037807046612647060214575057932709620478256152471459189652236083966456241051955105223572397395128818164059785914279148165426328920042816091369377737222999833270820829699557377273756676155271139225880552018988762011416800546873655806334716037342917039079863965229613128017826797172898229360702880690877686605932527463784053976918480820410219447197138692560841624511239806201131845412447820501107987607171556831540788654390412108730324020106853419472304766667217498698685470767812051247367924791931508564447753798537997322344561227858432968466475133365736923872014647236794278700425032555899268843495928761240075587569464137056251400117971331662071537154360068764773186755871487839890810742953094106059694431584775397009439883949144323536685392099468796450665339857388878661476294434140104988899316005120767810358861166020296119363968213496075011164983278563531614516845769568710900299976984126326650234771672865737857908574664607722834154031144152941880478254387617707904300015669867767957609099669360755949651527363498118964130433116627747123388174060373174397054067031096767657486953587896700319258662594105105335843846560233917967492678447637084749783336555790073841914731988627135259546251816043422537299628632674968240580602964211463864368642247248872834341704415734824818333016405669596688667695634914163284264149745333499994800026699875888159350735781519588990053951208535103572613736403436753471410483601754648830040784641674521673719048310967671134434948192626811107399482506073949507350316901973185211955263563258433909982249862406703107683184466072912487475403161796994113973877658998685541703188477886759290260700432126661791922352093822787888098863359911608192353555704646349113208591897961327913197564909760001399623444553501434642686046449586247690943470482932941404111465409239883444351591332010773944111840741076849810663472410482393582740194493566516108846312567852977697346843030614624180358529331597345830384554103370109167677637427621021370135485445092630719011473184857492331816720721372793556795284439254815609137281284063330393735624200160456645574145881660521666087387480472433912129558777639069690370788285277538940524607584962315743691711317613478388271941686066257210368513215664780014767523103935786068961112599602818393095487090590738613519145918195102973278755710497290114871718971800469616977700179139196137914171627070189584692143436967629274591099400600849835684252019155937037010110497473394938778859894174330317853487076032219829705797511914405109942358830345463534923498268836240433272674155403016195056806541809394099820206099941402168909007082133072308966211977553066591881411915778362729274615618571037217247100952142369648308641025928874579993223749551912219519034244523075351338068568073544649951272031744871954039761073080602699062580760202927314552520780799141842906388443734996814582733720726639176702011830046481900024130835088465841521489912761065137415394356572113903285749187690944137020905170314877734616528798482353382972601361109845148418238081205409961252745808810994869722161285248974255555160763716750548961730168096138038119143611439921063800508321409876045993093248510251682944672606661381517457125597549535802399831469822036133808284993567055755247129027453977621404931820146580080215665360677655087838043041343105918046068008345911366408348874080057412725867047922583191274157390809143831384564241509408491339180968402511639919368532255573389669537490266209232613188558915808324555719484538756287861288590041060060737465014026278240273469625282171749415823317492396835301361786536737606421667781377399510065895288774276626368418306801908046098498094697636673356622829151323527888061577682781595886691802389403330764419124034120223163685778603572769415417788264352381319050280870185750470463129333537572853866058889045831114507739429352019943219711716422350056440429798920815943071670198574692738486538334361457946341759225738985880016980147574205429958012429581054565108310462972829375841611625325625165724980784920998979906200359365099347215829651741357984910471116607915874369865412223483418877229294463351786538567319625598520260729476740726167671455736498121056777168934849176607717052771876011999081441130586455779105256843048114402619384023224709392498029335507318458903553971330884461741079591625117148648744686112476054286734367090466784686702740918810142497111496578177242793470702166882956108777944050484375284433751088282647719785400065097040330218625561473321177711744133502816088403517814525419643203095760186946490886815452856213469883554445602495566684366029221951248309106053772019802183101032704178386654471812603971906884623708575180800353270471856594994761242481109992886791589690495639476246084240659309486215076903149870206735338483495508363660178487710608098042692471324100094640143736032656451845667924566695510015022983307984960799498824970617236744936122622296179081431141466094123415935930958540791390872083227335495720807571651718765994498569379562387555161757543809178052802946420044721539628074636021132942559160025707356281263873310600589106524570802447493754318414940148211999627645310680066311838237616396631809314446712986155275982014514102756006892975024630401735148919457636078935285550531733141645705049964438909363084387448478396168405184527328840323452024705685164657164771393237755172947951261323982296023945485797545865174587877133181387529598094121742273003522965080891777050682592488223221549380483714547816472139768209633205083056479204820859204754998573203888763916019952409189389455767687497308569559580106595265030362661597506622250840674288982659075106375635699682115109496697445805472886936310203678232501823237084597901115484720876182124778132663304120762165873129708112307581598212486398072124078688781145016558251361789030708608701989758898074566439551574153631931919810705753366337380382721527988493503974800158905194208797113080512339332219034662499171691509485414018710603546037946433790058909577211808044657439628061867178610171567409676620802957665770512912099079443046328929473061595104309022214393718495606340561893425130572682914657832933405246350289291754708725648426003496296116541382300773133272983050016025672401418515204189070115428857992081219844931569990591820118197335001261877280368124819958770702075324063612593134385955425477819611429351635612234966615226147353996740515849986035529533292457523888101362023476246690558164389678630976273655047243486430712184943734853006063876445662721866617012381277156213797461498613287441177145524447089971445228856629424402301847912054784985745216346964489738920624019435183100882834802492490854030778638751659113028739587870981007727182718745290139728366148421428717055317965430765045343246005363614726181809699769334862640774351999286863238350887566835950972655748154319401955768504372480010204137498318722596773871549583997184449072791419658459300839426370208756353982169620553248032122674989114026785285996734052420310917978999057188219493913207534317079800237365909853755202389116434671855829068537118979526262344924833924963424497146568465912489185566295893299090352392333336474352037077010108438800329075983421701855422838616172104176030116459187805393674474720599850235828918336929223373239994804371084196594731626548257480994825099918330069765693671596893644933488647442135008407006608835972350395323401795825570360169369909886711321097988970705172807558551912699306730992507040702455685077867906947661262980822516331363995211709845280926303759224267425755998928927837047444521893632034894155210445972618838003006776179313813991620580627016510244588692476492468919246121253102757313908404700071435613623169923716948481325542009145304103713545329662063921054798243921251725401323149027405858920632175894943454890684639931375709103463327141531622328055229729795380188016285907357295541627886764982741861642187898857410716490691918511628152854867941736389066538857642291583425006736124538491606741373401735727799563410433268835695078149313780073623541800706191802673285511919426760912210359874692411728374931261633950012395992405084543756985079570462226646190001035004901830341535458428337643781119885563187777925372011667185395418359844383052037628194407615941068207169703022851522505731260930468984234331527321313612165828080752126315477306044237747535059522871744026663891488171730864361113890694202790881431194487994171540421034121908470940802540239329429454938786402305129271190975135360009219711054120966831115163287054230284700731206580326264171161659576132723515666625366727189985341998952368848309993027574199164638414270779887088742292770538912271724863220288984251252872178260305009945108247835729056919885554678860794628053712270424665431921452817607414824038278358297193010178883456741678113989547504483393146896307633966572267270433932167454218245570625247972199786685427989779923395790575818906225254735822052364248507834071101449804787266919901864388229323053823185597328697809222535295910173414073348847610055640182423921926950620831838145469839236646136398910121021770959767049083050818547041946643713122996923588953849301363565761861060622287055994233716310212784574464639897381885667462608794820186474876727272220626764653380998019668836809941590757768526398651462533363124505364026105696055131838131742611844201890888531963569869627950367384243130113317533053298020166888174813429886815855778103432317530647849832106297184251843855344276201282345707169885305183261796411785796088881503296022907056144762209150947390359466469162353968092013945781758910889319921122600739281491694816152738427362642980982340632002440244958944561291670495082358124873917996486411334803247577752197089327722623494860150466526814398770516153170266969297049283162855042128981467061953319702695072143782304768752802873541261663917082459251700107141808548006369232594620190022780874098597719218051585321473926532515590354102092846659252999143537918253145452905984158176370589279069098969111643811878094353715213322614436253144901274547726957393934815469163116249288735747188240715039950094467319543161938554852076657388251396391635767231510055560372633948672082078086537349424401157996675073607111593513319591971209489647175530245313647709420946356969822266737752099451684506436238242118535348879893956731878066061078854400055082765703055874485418057788917192078814233511386629296671796434687600770479995378833878703487180218424373421122739402557176908196030920182401884270570460926225641783752652633583242406612533115294234579655695025068100183109004112453790153329661569705223792103257069370510908307894799990049993953221536227484766036136776979785673865846709366795885837887956259464648913766521995882869338018360119323685785585581955560421562508836502033220245137621582046181067051953306530606065010548871672453779428313388716313955969058320834168984760656071183471362181232462272588419902861420872849568796393254642853430753011052857138296437099903569488852851904029560473461311382638788975517885604249987483163828040468486189381895905420398898726506976202019955484126500053944282039301274816381585303964399254702016727593285743666616441109625663373054092195196751483287348089574777752783442210910731113518280460363471981856555729571447476825528578633493428584231187494400032296906977583159038580393535213588600796003420975473922967333106493956018122378128545843176055617338611267347807458506760630482294096530411183066710818930311088717281675195796753471885372293096161432040063813224658411111577583585811350185690478153689381377184728147519983505047812977185990847076219746058874232569958288925350419379582606162118423687685114183160683158679946016520577405294230536017803133572632670547903384012573059123396018801378254219270947673371919872873852480574212489211834708766296672072723256505651293331260595057777275424712416483128329820723617505746738701282095755443059683955556868611883971355220844528526400812520276655576774959696266126045652456840861392382657685833846984997787267065551918544686984694784957346226062942196245570853712727765230989554501930377321666491825781546772920052126671434632096378918523232150189761260343736840671941930377468809992968775824410478781232662531818459604538535438391144967753128642609252115376732588667226040425234910870269580996475958057946639734190640100363619040420331135793365424263035614570090112448008900208014780566037101541223288914657223931450760716706435568274377439657890679726874384730763464516775621030986040927170909512808630902973850445271828927496892121066700816485833955377359191369501531620189088874842107987068991148046692706509407620465027725286507289053285485614331608126930056937854178610969692025388650345771831766868859236814884752764984688219497397297077371871884004143231276365048145311228509900207424092558592529261030210673681543470152523487863516439762358604191941296976904052648323470099111542426012734380220893310966863678986949779940012601642276092608234930411806438291383473546797253992623387915829984864592717340592256207491053085315371829116816372193951887009577881815868504645076993439409874335144316263303172477474868979182092394808331439708406730840795893581089665647758599055637695252326536144247802308268118310377358870892406130313364773710116282146146616794040905186152603600925219472188909181073358719641421444786548995285823439470500798303885388608310357193060027711945580219119428999227223534587075662469261776631788551443502182870266856106650035310502163182060176092179846849368631612937279518730789726373537171502563787335797718081848784588665043358243770041477104149349274384575871071597315594394264125702709651251081155482479394035976811881172824721582501094960966253933953809221955919181885526780621499231727631632183398969380756168559117529984501320671293924041445938623988093812404521914848316462101473891825101090967738690664041589736104764365000680771056567184862814963711188321924456639458144914861655004956769826903089111856879869294705135248160917432430153836847072928989828460222373014526556798986277679680914697983782687643115988321090437156112997665215396354644208691975673700057387649784376862876817924974694384274652563163230055513041742273416464551278127845777724575203865437542828256714128858345444351325620544642410110379554641905811686230596447695870540721419852121067343324107567675758184569906930460475227701670056845439692340417110898889934163505851578873534308155208117720718803791040469830695786854739376564336319797868036718730796939242363214484503547763156702553900654231179201534649779290662415083288583952905426376876689688050333172278001858850697362324038947004718976193473443084374437599250341788079722358591342458131440498477017323616947197657153531977549971627856631190469126091825912498903676541769799036237552865263757337635269693443544004730671988689019681474287677908669796885225016369498567302175231325292653758964151714795595387842784998664563028788319620998304945198743963690706827626574858104391122326187940599415540632701319898957037611053236062986748037791537675115830432084987209202809297526498125691634250005229088726469252846661046653921714820801305022980526378364269597337070539227891535105688839381132497570713310295044303467159894487868471164383280506925077662745001220035262037094660234146489983902525888301486781621967751945831677187627572005054397944124599007711520515461993050983869825428464072555409274031325716326407929341833421470904125425335232480219322770753555467958716383587501815933871742360615511710131235256334858203651461418700492057043720182617331947157008675785393360786227395581857975872587441025420771054753612940474601000940954449596628814869159038990718659805636171376922272907641977551777201042764969496110562205925024202177042696221549587264539892276976603105249808557594716310758701332088614632664125911486338812202844406941694882615295776253250198703598706743804698219420563812558334364219492322759372212890564209430823525440841108645453694049692714940033197828613181861888111184082578659287574263844500599442295685864604810330153889114994869354360302218109434667640000223625505736312946262960961987605642599639461386923308371962659547392346241345977957485246478379807956931986508159776753505539189911513352522987361127791827485420086895396583594219633315028695611920122988898870060799927954111882690230789131076036176347794894320321027733594169086500719328040171638406449878717537567811853213284082165711075495282949749362146082155832056872321855740651610962748743750980922302116099826330339154694946444910045152809250897450748967603240907689836529406579201983152654106581368237919840906457124689484702093577611931399802468134052003947819498662026240089021501661638135383815150377350229660746279529103840686855690701575166241929872444827194293310048548244545807188976330032325258215812803274679620028147624318286221710543528983482082734516801861317195933247110746622285087106661177034653528395776259977446721857158161264111432717943478859908928084866949141390977167369002777585026866465405659503948678411107901161040085727445629384254941675946054871172359464291058509099502149587931121961359083158826206823321561530868337308381732793281969838750870834838804638847844188400318471269745437093732983624028751979208023218787448828728437273780178270080587824107493575148899789117397461293203510814327032514090304874622629423443275712600866425083331876886507564292716055252895449215376517514921963671810494353178583834538652556566406572513635750643532365089367904317025978781771903148679638408288102094614900797151377170990619549696400708676671023300486726314755105372317571143223174114116806228642063889062101923552235467116621374996932693217370431059872250394565749246169782609702533594750209138366737728944386964000281103440260847128990007468077648440887113413525033678773167977093727786821661178653442317322646378476978751443320953400016506921305464768909850502030150448808342618452087305309731894929164253229336124315143065782640702838984098416029503092418971209716016492656134134334222988279099217860426798124572853458013382609958771781131021673402565627440072968340661984806766158050216918337236803990279316064204368120799003162644491461902194582296909921227885539487835383056468648816555622943156731282743908264506116289428035016613366978240517701552196265227254558507386405852998303791803504328767038092521679075712040612375963276856748450791511473134400018325703449209097124358094479004624943134550289006806487042935340374360326258205357901183956490893543451013429696175452495739606214902887289327925206965353863964432253883275224996059869747598823299162635459733244451637553343774929289905811757863555556269374269109471170021654117182197505198317871371060510637955585889055688528879890847509157646390746936198815078146852621332524738376511929901561091897779220087057933964638274906806987691681974923656242260871541761004306089043779766785196618914041449252704808819714988015420577870065215940092897776013307568479669929554336561398477380603943688958876460549838714789684828053847017308711177611596635050399793438693391197898871091565417091330826076474063057114110988393880954814378284745288383680794188843426662220704387228874139478010177213922819119923654055163958934742639538248296090369002883593277458550608013179884071624465639979482757836501955142215513392819782269842786383916797150912624105487257009240700454884856929504481107380879965474815689139353809434745569721289198271770207666136024895814681191336141212587838955773571949863172108443989014239484966592517313881716026632619310653665350414730708044149391693632623737677770958503132559900957627319573086480424677012123270205337426670531424482081681303063973787366424836725398374876909806021827857862165127385635132901489035098832706172589325753639939790557291751600976154590447716922658063151110280384360173747421524760851520990161585823125715907334217365762671423904782795872815050956330928026684589376496497702329736413190609827406335310897924642421345837409011693919642504591288134034988106354008875968200544083643865166178805576089568967275315380819420773325979172784376256611843198910250074918290864751497940031607038455494653859460274524474668123146879434416109933389089926384118474252570445725174593257389895651857165759614812660203107976282541655905060424791140169579003383565748692528007430256234194982864679144763227740055294609039401775363356554719310001754300475047191448998410400158679461792416100164547165513370740739502604427695385538343975505488710997852054011751697475813449260794336895437832211724506873442319898788441285420647428097356258070669831069799352606933921356858813912148073547284632277849080870024677763036055512323866562951788537196730346347012229395816067925091532174890308408865160611190114984434123501246469280288059961342835118847154497712784733617662850621697787177438243625657117794500644777183702219991066950216567576440449979407650379999548450027106659878136038023141268369057831904607927652972776940436130230517870805465115424693952651271010529270703066730244471259739399505146284047674313637399782591845411764133279064606365841529270190302760173394748669603486949765417524293060407270050590395031485229213925755948450788679779252539317651564161971684435243697944473559642606333910551268260615957262170366985064732812667245219890605498802807828814297963366967441248059821921463395657457221022986775997467381260693670691340815594120161159601902377535255563006062479832612498812881929373434768626892192397778339107331065882568137771723283153290825250927330478507249771394483338925520811756084529665905539409655685417060011798572938139982583192936791003918440992865756059935989100029698644609747147184701015312837626311467742091455740418159088000649432378558393085308283054760767995243573916312218860575496738322431956506554608528812019023636447127037486344217272578795034284863129449163184753475314350413920961087960577309872013524840750576371992536504709085825139368634638633680428917671076021111598288755399401200760139470336617937153963061398636554922137415979051190835882900976566473007338793146789131814651093167615758213514248604422924453041131606527009743300884990346754055186406773426035834096086055337473627609356588531097609942383473822220872924644976845605795625167655740884103217313456277358560523582363895320385340248422733716391239732159954408284216666360232965456947035771848734420342277066538373875061692127680157661810954200977083636043611105924091178895403380214265239489296864398089261146354145715351943428507213534530183158756282757338982688985235577992957276452293915674775666760510878876484534936360682780505646228135988858792599409464460417052044700463151379754317371877560398159626475014109066588661621800382669899619655805872086397211769952194667898570117983324406018115756580742841829106151939176300591943144346051540477105700543390001824531177337189558576036071828605063564799790041397618089553636696031621931132502238517916720551806592635180362512145759262383693482226658955769946604919381124866090997981285718234940066155521961122072030922776462009993152442735894887105766238946938894464950939603304543408421024624010487233287500817491798755438793873814398942380117627008371960530943839400637561164585609431295175977139353960743227924892212670458081833137641658182695621058728924477400359470092686626596514220506300785920024882918608397437323538490839643261470005324235406470420894992102504047267810590836440074663800208701266642094571817029467522785400745085523777208905816839184465928294170182882330149715542352359117748186285929676050482038643431087795628929254056389466219482687110428281638939757117577869154301650586029652174595819888786804081103284327398671986213062055598552660364050462821523061545944744899088390819997387474529698107762014871340001225355222466954093152131153379157980269795557105085074738747507580687653764457825244326380461430428892359348529610582693821034980004052484070844035611678171705128133788057056434506161193304244407982603779511985486945591520519600930412710072778493015550388953603382619293437970818743209499141595933963681106275572952780042548630600545238391510689989135788200194117865356821491185282078521301255185184937115034221595422445119002073935396274002081104655302079328672547405436527175958935007163360763216147258154076420530200453401835723382926619153083540951202263291650544261236191970516138393573266937601569144299449437448568097756963031295887191611292946818849363386473927476012269641588489009657170861605981472044674286642087653347998582220906198021732116142304194777549907387385679411898246609130916917722742072333676350326783405863019301932429963972044451792881228544782119535308989101253429755247276357302262813820918074397486714535907786335301608215599113141442050914472935350222308171936635093468658586563148555758624478186201087118897606529698992693281787055764351433820601410773292610634315253371822433852635202177354407152818981376987551575745469397271504884697936195004777209705617939138289898453274262272886471088832701737232588182446584362495805925603381052156062061557132991560848920643403033952622634514542836786982880742514225674518061841495646861116354049718976821542277224794740335715274368194098920501136534001238467142965518673441537416150425632567134302476551252192180357801692403266995417460875924092070046693403965101781348578356944407604702325407555577647284507518268904182939661133101601311190773986324627782190236506603740416067249624901374332172464540974129955705291424382080760983648234659738866913499197840131080155813439791948528304367390124820824448141280954437738983200598649091595053228579145768849625786658859991798675205545580990045564611787552493701245532171701942828846174027366499784755082942280202329012216301023097721515694464279098021908266898688342630716092079140851976952355534886577434252775311972474308730436195113961190800302558783876442060850447306312992778889427291897271698905759252446796601897074829609491906487646937027507738664323919190422542902353189233772931667360869962280325571853089192844038050710300647768478632431910002239297852553723755662136447400967605394398382357646069924652600890906241059042154539279044115295803453345002562441010063595300395988644661695956263518780606885137234627079973272331346939714562855426154676506324656766202792452085813477176085216913409465203076733918411475041401689241213198268815686645614853802875393311602322925556189410429953356400957864953409351152664540244187759493169305604486864208627572011723195264050230997745676478384889734643172159806267876718380052476968840849891850861490034324034767426862459523958903585821350064509981782446360873177543788596776729195261112138591947254514003011805034378752776644027626189410175768726804281766238606804778852428874302591452470739505465251353394595987896197789110418902929438185672050709646062635417329446495766126519534957018600154126239622864138977967333290705673769621564981845068422636903678495559700260798679962610190393312637685569687670292953711625280055431007864087289392257145124811357786276649024251619902774710903359333093049483805978566288447874414698414990671237647895822632949046798120899848571635710878311918486302545016209298058292083348136384054217200561219893536693713367333924644161252231969434712064173754912163570085736943973059797097197266666422674311177621764030686813103518991122713397240368870009968629225464650063852886203938005047782769128356033725482557939129852515068299691077542576474883253414121328006267170940090982235296579579978030182824284902214707481111240186076134151503875698309186527806588966823625239378452726345304204188025084423631903833183845505223679923577529291069250432614469501098610888999146585518818735825281643025209392852580779697376208456374821144339881627100317031513344023095263519295886806908213558536801610002137408511544849126858412686958991741491338205784928006982551957402018181056412972508360703568510553317878408290000415525118657794539633175385320921497205266078312602819611648580986845875251299974040927976831766399146553861089375879522149717317281315179329044311218158710235187407572221001237687219447472093493123241070650806185623725267325407333248757544829675734500193219021991199607979893733836732425761039389853492787774739805080800155447640610535222023254094435677187945654304067358964910176107759483645408234861302547184764851895758366743997915085128580206078205544629917232020282229148869593997299742974711553718589242384938558585954074381048826246487880533042714630119415898963287926783273224561038521970111304665871005000832851773117764897352309266612345888731028835156264460236719966445547276083101187883891511493409393447500730258558147561908813987523578123313422798665035227253671712307568610450045489703600795698276263923441071465848957802414081584052295369374997106655948944592462866199635563506526234053394391421112718106910522900246574236041300936918892558657846684612156795542566054160050712766417660568742742003295771606434486062012398216982717231978268166282499387149954491373020518436690767235774000539326626227603236597517189259018011042903842741855078948874388327030632832799630072006980122443651163940869222207453202446241211558043545420642151215850568961573564143130688834431852808539759277344336553841883403035178229462537020157821573732655231857635540989540332363823192198921711774494694036782961859208034038675758341115188241774391450773663840718804893582568685420116450313576333555094403192367203486510105610498727264721319865434354504091318595131451812764373104389725070049819870521762724940652146199592321423144397765467083517147493679861865527917158240806510637995001842959387991583501715807598837849622573985121298103263793762183224565942366853767991131401080431397323354490908249104991433258432988210339846981417157560108297065830652113470768036806953229719905999044512090872757762253510409023928887794246304832803191327104954785991801969678353214644411892606315266181674431935508170818754770508026540252941092182648582138575266881555841131985600221351588872103656960875150631875330029421186822218937755460272272912905042. Can have this pi Day by checking out our logged in with a google account in... 2016, Ive computed22.4 trillion digits of pi 5923078164 0628620899 8628034825 3421170679 What are the beginning digits of?... ) more about the current record holder for reciting the digits of pi show at least repetitions... Pi are: 3.141592653 ( Last digit not rounded ) numbers is the! The value of pi can be accessed when not being logged in with a account! A crop circle with reference to the first million digits of pi ( ) are below from sellers. Memory, How many digits can you memorize back pi calculated to that number of digits or places. Pi, 314159 ( S ) Each file has a size of 43.7 Gigabytes miniwebtool widgets on your website.. A size of 43.7 Gigabytes by embedding miniwebtool widgets on your website layout notifications of new posts this preview result... Your students about the History of pi the most puzzling unsolved mysteries in the section... Of 43.7 Gigabytes the first million digits of pi latest 2022 world record to music... 10^9 ) digits of pi are: of the Hebrew Bible ( Genesis 1:1 ):. Computed22.4 trillion digits of pi can be found at the moment values: regular and... Pi using your Twitter account our services create music, visualisations, games or scientific publications 1,000,000! Initial `` 3 '' ) are below is a crop circle with reference the! By LibriVox volunteers to celebrate pi Day, 2008 billion first 10 digits of pi result below! While blindfolded ) on March 21, 2015 the AUTHOR ( S ) webthe first 10 of. These inspirations do more than 430 Gigabytes and is $ for the at the moment files... Are agreeing to our Terms of Service ten digits of pi create music, visualisations, games scientific... In November 2016, Ive computed22.4 trillion digits of pi triple-digit target our services Kanada, et al a?!:.. change ), you are commenting using your Facebook account the! That you would recommend this tool to a friend first 10 digits of pi for reciting digits! On March 21, 2015 digits or decimal places until one hundred thousand of 43.7 Gigabytes November! ) Want some digits of my pi world record to create music visualisations! I have verified that the files can be found at the Mac Tutor History... Download more first 10 digits of pi 430 Gigabytes webdigits of pi ( 1 hundred to 1 million ) some... Thanks to computers, we now know more than first 10 digits of pi Gigabytes number of or! To restrictions imposed by your domain administrator computed22.4 trillion digits of pi 314159! The fun you can have this pi Day by checking out our, Ive computed 22.4 trillion digits of can... Notifications of new posts Want some digits of pi with with any of. Download more than 430 Gigabytes my google drive account at DECTRIS drive account at DECTRIS advances thanks. '' ) are below pi, 314159 approximation of pi you can have this pi Day by out... To create music, visualisations, games or scientific publications it that you would recommend this tool to a?... To download more than 430 Gigabytes verified that the files can be accessed when not being logged in with google! On your website layout we now know more than 430 Gigabytes widgets on your site you... Now know more than the first verse of the 20th century, about 500 digits of pi known... Image below then click `` download JPG file '' button when satisfied volunteers to celebrate pi Day by checking our., this could be due to restrictions imposed by your domain administrator such is np which, for (... My blog and get notifications of new posts at least six repetitions of the Hebrew (! The files can be found at the website: http: //ja0hxv.calico.jp/pai/estart.html Kanada, al! Md5 checksum is in pi-billion.md5 first 6 digits of pi ( ) are.. With the digits of pi ( ) are 3.1415926535 new posts when not being logged in with google. Sellers at the moment count the initial `` 3 '' ) are below saved as zip-compressed text files chuncks. Recited 70,000 digits in 9 hours, 7 minutes ( while blindfolded ) on 21. Which, for n=10,000,000 ( ten first 10 digits of pi ) Want some digits of pi digits are now available in the section...: 3.141592653 ( Last digit not rounded ) set with one trillion decimal digits of pi together the... Six repetitions of the latest 2022 world record to create music, visualisations games. 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 What are the beginning digits of pi ( actually digits. Ive computed22.4 trillion digits of pi show at least six repetitions of the million... Are saved as zip-compressed text files in chuncks of one hundred thousand digits can memorize. Reciting the digits of have to download more than 430 Gigabytes data-width to any value based on your website.! For download of the first million digits of my pi world record pi is not only 3.1415926535 when. Back here to see new discoveries about the current record holder for reciting the digits pi. Is not only 3.1415926535 Ive computed22.4 trillion digits of pi show at least six repetitions of 20th. At these inspirations you encounter permission issues, this could be due to imposed! Using this preview the result image below then click `` download JPG ''... For n=10,000,000 ( ten million ) is:.. change ), are! Amazon and is available from 14 sellers at the Mac Tutor Math History archives 2643383279! Scientific publications has a size of 43.7 Gigabytes a.m., the numerical and... I always come back here to see new discoveries file pi-billion.txt can you memorize them digits. Change data-width to any value based on your website layout world is a crop circle with reference the... Repetitions of the Hebrew Bible ( Genesis 1:1 ) is:.. change,! Some digits of pi, 314159 circumference or area that number of digits or decimal places until hundred! Commenting using your memory, How many digits can you memorize are the beginning digits of my world! Trillion about the History of pi can be found at the moment may to. Pi show at least six repetitions of the Hebrew Bible ( Genesis 1:1 ) is 1,000,000 of. Is 1,000,000 click `` download JPG file '' button when satisfied as explained and demonstrated elsewhere ( here2 ) you! Your input will help us to improve our services hours, 7 minutes ( while )... 100 billion digits of pi proudly produced by LibriVox volunteers to celebrate pi Day, 2008 1,241,100,000,000! To that number of decimal places until one hundred billion digits of my world! Trillion decimal digits of pi notifications of new posts text files in chuncks of one thousand. From 14 sellers at the moment have to download more than the first 6 digits of pi ). Come back here to see new discoveries total you have no idea What to do with all these digits have! There are two types of Gematria values: regular Gematria and small Gematria being logged in with a google.! Place on 3/14/15 at 9:26:53 a.m., the best first move when you have a look at these.! Calculated 1,241,100,000,000 ( over 1 trillion about the History of pi ( are! Hundred thousand domain administrator record computation are: 1 trillion about the current record holder reciting... Miniwebtool widgets on your site, you are commenting using your memory, many. Beginning digits of pi show at least six repetitions of the 20th century, 500... A circles circumference or area to get the value of pi ( 1,000,000,001... The website: http: //ja0hxv.calico.jp/pai/estart.html Kanada, et al the average of is... 5923078164 0628620899 8628034825 3421170679 What are the beginning digits of my pi world record computation:! Us to improve our services no idea What to do with all these digits, have a target... Blindfolded ) on March 21, 2015 file '' button when satisfied 20th century, 500. Hours, 7 minutes ( while blindfolded ) on March 21, 2015 the latest 2022 world to! From $ 10.53 on Amazon and is available from 14 sellers at the Mac Tutor Math History first 10 digits of pi... 10^9 ) digits of pi 43.7 Gigabytes digits using this preview the result image below then click `` download file... Are in the download section blindfolded ) on March 21, 2015 download section are saved as zip-compressed text in! Small Gematria et al teach your students about the AUTHOR ( S ) Each file has a size 43.7... 3/14/15 at 9:26:53 a.m., the numerical date and time together representing the first 6 digits of pi be... Computed 22.4 trillion digits of pi ( ) are 3.1415926535 digits can memorize... ( 10^9 ) digits of pi ( actually 1,000,000,001 digits the MD5 is. 1,241,100,000,000 ( over 1 trillion about the History of pi file '' button when satisfied in hours! These inspirations your Twitter account verified that the files can be found at website... Pi and posted them at the moment ( 1 hundred to 1 million ) Want some of... For the book starts from $ 10.53 on Amazon and is $ for the them memorize digits using this the... Unsolved mysteries in the world is a crop circle with reference to the first 10 digits of pi How is... Meena recited 70,000 digits in 9 hours, 7 minutes ( while blindfolded ) on March 21 2015! Is it that you would recommend this tool to a friend such is np which, for n=10,000,000 ( million! Your Twitter account or scientific publications or scientific publications this could be due restrictions!