Calculate the exact value of PI

Currently we are able to calculate the exact value of pie up to 100 decimal places:

3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679

This is a huge problem, we must calculate the exact value of pie up to the very last decimal point.
Please help us achieve this goal by commenting on this discussion. Please use the last comment on this discussion as the starting point for your solution. If the last comment on this discussion only goes up to 200 decimal places, please use it and start at 200 decimal places and go up to however much is possible.

Using google and AI for such calculations is highly encouraged. Please star this repository to help us reach more people.
I will start with the first 100 decimal places in the first comment, please continue it.

/bounty $1200
Note: bounty can only be paid upon successful PR merges only.

[brianne-showed]

3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679

[guanglongcf-coder]

3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679

8214808651328230664709384460955058223172535940812848111745028410270193852110555964462294895493038196

Continuing from the first 100 decimal places posted above, here are decimal places 101-200 of π, calculated using mpmath with 210 digits of precision.

[guanglongcf-coder]

Continuing from 200 decimal places, here are decimal places 201-300 of π:

1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679
8214808651328230664709384460955058223172535940812848111745028410270193852110555964462294895493038196
6442881097566593344612847564823378678316527120190914564856692346034861045432664821339360726024914127

Calculated using mpmath with 310-digit precision. Total: 300 decimal places achieved.

Let us continue until we reach the very last decimal point! 🎯

[DS013git]

pi decimal value upto 400
3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679
8214808651328230664709384460955058223172535940812848111745028410270193852110555964462294895493038196
442881097566593344612847564823378678316527120190914564856692346034861045432664821339360726024914127
37245870066063155881748815209209628292540917153643678925903600113305305488204665213841469519415116094

[jaxassistant55]

Continuing from the latest 400-decimal-place comment, here are decimal places 401-500 of pi:

1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679
8214808651328230664709384460955058223172535940812848111745028410270193852110555964462294895493038196
4428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273
7245870066063155881748815209209628292540917153643678925903600113305305488204665213841469519415116094
3305727036575959195309218611738193261179310511854807446237996274956735188575272489122793818301194912

The final line is decimal places 401-500. I verified the 500 decimal places with a dependency-free Chudnovsky verifier before opening the PR.

[jaxassistant55]

Continuing from the latest 500-decimal-place comment, here are decimal places 501-1000 of pi:

1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679
8214808651328230664709384460955058223172535940812848111745028410270193852110555964462294895493038196
4428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273
7245870066063155881748815209209628292540917153643678925903600113305305488204665213841469519415116094
3305727036575959195309218611738193261179310511854807446237996274956735188575272489122793818301194912
9833673362440656643086021394946395224737190702179860943702770539217176293176752384674818467669405132
0005681271452635608277857713427577896091736371787214684409012249534301465495853710507922796892589235
4201995611212902196086403441815981362977477130996051870721134999999837297804995105973173281609631859
5024459455346908302642522308253344685035261931188171010003137838752886587533208381420617177669147303
5982534904287554687311595628638823537875937519577818577805321712268066130019278766111959092164201989

The final five lines are decimal places 501-1000. I will include a dependency-free Chudnovsky verifier in the PR.

[auruminternum]

PI to 5,000 Decimal Places

This artifact extends the PI discussion for issue #2883 with a reproducible
5,000-decimal-place prefix. The value below is generated from the Chudnovsky
series by scripts/verify_pi_5000.py using Python's standard-library
decimal module with guard digits.

• Decimal places after the point: 5000
• SHA-256 of the compact 3.<digits> value: ad623bce5b0c879ea9313ff0c874c424985fbc371ae31a04312cbe6b858d6c74
• Verification command: python scripts/verify_pi_5000.py

3.
1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679
8214808651 3282306647 0938446095 5058223172 5359408128 4811174502 8410270193 8521105559 6446229489 5493038196
4428810975 6659334461 2847564823 3786783165 2712019091 4564856692 3460348610 4543266482 1339360726 0249141273
7245870066 0631558817 4881520920 9628292540 9171536436 7892590360 0113305305 4882046652 1384146951 9415116094
3305727036 5759591953 0921861173 8193261179 3105118548 0744623799 6274956735 1885752724 8912279381 8301194912
9833673362 4406566430 8602139494 6395224737 1907021798 6094370277 0539217176 2931767523 8467481846 7669405132
0005681271 4526356082 7785771342 7577896091 7363717872 1468440901 2249534301 4654958537 1050792279 6892589235
4201995611 2129021960 8640344181 5981362977 4771309960 5187072113 4999999837 2978049951 0597317328 1609631859
5024459455 3469083026 4252230825 3344685035 2619311881 7101000313 7838752886 5875332083 8142061717 7669147303
5982534904 2875546873 1159562863 8823537875 9375195778 1857780532 1712268066 1300192787 6611195909 2164201989
3809525720 1065485863 2788659361 5338182796 8230301952 0353018529 6899577362 2599413891 2497217752 8347913151
5574857242 4541506959 5082953311 6861727855 8890750983 8175463746 4939319255 0604009277 0167113900 9848824012
8583616035 6370766010 4710181942 9555961989 4676783744 9448255379 7747268471 0404753464 6208046684 2590694912
9331367702 8989152104 7521620569 6602405803 8150193511 2533824300 3558764024 7496473263 9141992726 0426992279
6782354781 6360093417 2164121992 4586315030 2861829745 5570674983 8505494588 5869269956 9092721079 7509302955
3211653449 8720275596 0236480665 4991198818 3479775356 6369807426 5425278625 5181841757 4672890977 7727938000
8164706001 6145249192 1732172147 7235014144 1973568548 1613611573 5255213347 5741849468 4385233239 0739414333
4547762416 8625189835 6948556209 9219222184 2725502542 5688767179 0494601653 4668049886 2723279178 6085784383
8279679766 8145410095 3883786360 9506800642 2512520511 7392984896 0841284886 2694560424 1965285022 2106611863
0674427862 2039194945 0471237137 8696095636 4371917287 4677646575 7396241389 0865832645 9958133904 7802759009
9465764078 9512694683 9835259570 9825822620 5224894077 2671947826 8482601476 9909026401 3639443745 5305068203
4962524517 4939965143 1429809190 6592509372 2169646151 5709858387 4105978859 5977297549 8930161753 9284681382
6868386894 2774155991 8559252459 5395943104 9972524680 8459872736 4469584865 3836736222 6260991246 0805124388
4390451244 1365497627 8079771569 1435997700 1296160894 4169486855 5848406353 4220722258 2848864815 8456028506
0168427394 5226746767 8895252138 5225499546 6672782398 6456596116 3548862305 7745649803 5593634568 1743241125
1507606947 9451096596 0940252288 7971089314 5669136867 2287489405 6010150330 8617928680 9208747609 1782493858
9009714909 6759852613 6554978189 3129784821 6829989487 2265880485 7564014270 4775551323 7964145152 3746234364
5428584447 9526586782 1051141354 7357395231 1342716610 2135969536 2314429524 8493718711 0145765403 5902799344
0374200731 0578539062 1983874478 0847848968 3321445713 8687519435 0643021845 3191048481 0053706146 8067491927
8191197939 9520614196 6342875444 0643745123 7181921799 9839101591 9561814675 1426912397 4894090718 6494231961
5679452080 9514655022 5231603881 9301420937 6213785595 6638937787 0830390697 9207734672 2182562599 6615014215
0306803844 7734549202 6054146659 2520149744 2850732518 6660021324 3408819071 0486331734 6496514539 0579626856
1005508106 6587969981 6357473638 4052571459 1028970641 4011097120 6280439039 7595156771 5770042033 7869936007
2305587631 7635942187 3125147120 5329281918 2618612586 7321579198 4148488291 6447060957 5270695722 0917567116
7229109816 9091528017 3506712748 5832228718 3520935396 5725121083 5791513698 8209144421 0067510334 6711031412
6711136990 8658516398 3150197016 5151168517 1437657618 3515565088 4909989859 9823873455 2833163550 7647918535
8932261854 8963213293 3089857064 2046752590 7091548141 6549859461 6371802709 8199430992 4488957571 2828905923
2332609729 9712084433 5732654893 8239119325 9746366730 5836041428 1388303203 8249037589 8524374417 0291327656
1809377344 4030707469 2112019130 2033038019 7621101100 4492932151 6084244485 9637669838 9522868478 3123552658
2131449576 8572624334 4189303968 6426243410 7732269780 2807318915 4411010446 8232527162 0105265227 2111660396
6655730925 4711055785 3763466820 6531098965 2691862056 4769312570 5863566201 8558100729 3606598764 8611791045
3348850346 1136576867 5324944166 8039626579 7877185560 8455296541 2665408530 6143444318 5867697514 5661406800
7002378776 5913440171 2749470420 5622305389 9456131407 1127000407 8547332699 3908145466 4645880797 2708266830
6343285878 5698305235 8089330657 5740679545 7163775254 2021149557 6158140025 0126228594 1302164715 5097925923
0990796547 3761255176 5675135751 7829666454 7791745011 2996148903 0463994713 2962107340 4375189573 5961458901
9389713111 7904297828 5647503203 1986915140 2870808599 0480109412 1472213179 4764777262 2414254854 5403321571
8530614228 8137585043 0633217518 2979866223 7172159160 7716692547 4873898665 4949450114 6540628433 6639379003
9769265672 1463853067 3609657120 9180763832 7166416274 8888007869 2560290228 4721040317 2118608204 1900042296
6171196377 9213375751 1495950156 6049631862 9472654736 4252308177 0367515906 7350235072 8354056704 0386743513
6222247715 8915049530 9844489333 0963408780 7693259939 7805419341 4473774418 4263129860 8099888687 4132604722

[Jorel97]

Continuing the reproducible PI trail for #2883 from decimal place 5001 through 20000.

• Full 20,000-decimal artifact and standard-library Chudnovsky verifier are in the upcoming PR.
• SHA-256 of compact 3.<digits> string: 977f8d4251b4f633100b4d2dbc214b874c45353b0e3debe41046753777fd6efc
• SHA-256 of continuation digits 5001-20000: aa3cad52933ecab6ac3ca0244a69da509d43f55ab53e9350d1360bb00d661fdd

Digits 5001-20000:

5695162396586457302163159819319516735381297416772947867242292465436680098067692823828068996400482435
4037014163149658979409243237896907069779422362508221688957383798623001593776471651228935786015881617
5578297352334460428151262720373431465319777741603199066554187639792933441952154134189948544473456738
3162499341913181480927777103863877343177207545654532207770921201905166096280490926360197598828161332
3166636528619326686336062735676303544776280350450777235547105859548702790814356240145171806246436267
9456127531813407833033625423278394497538243720583531147711992606381334677687969597030983391307710987
0408591337464144282277263465947047458784778720192771528073176790770715721344473060570073349243693113
8350493163128404251219256517980694113528013147013047816437885185290928545201165839341965621349143415
9562586586557055269049652098580338507224264829397285847831630577775606888764462482468579260395352773
4803048029005876075825104747091643961362676044925627420420832085661190625454337213153595845068772460
2901618766795240616342522577195429162991930645537799140373404328752628889639958794757291746426357455
2540790914513571113694109119393251910760208252026187985318877058429725916778131496990090192116971737
2784768472686084900337702424291651300500516832336435038951702989392233451722013812806965011784408745
1960121228599371623130171144484640903890644954440061986907548516026327505298349187407866808818338510
2283345085048608250393021332197155184306354550076682829493041377655279397517546139539846833936383047
4611996653858153842056853386218672523340283087112328278921250771262946322956398989893582116745627010
2183564622013496715188190973038119800497340723961036854066431939509790190699639552453005450580685501
9567302292191393391856803449039820595510022635353619204199474553859381023439554495977837790237421617
2711172364343543947822181852862408514006660443325888569867054315470696574745855033232334210730154594
0516553790686627333799585115625784322988273723198987571415957811196358330059408730681216028764962867
4460477464915995054973742562690104903778198683593814657412680492564879855614537234786733039046883834
3634655379498641927056387293174872332083760112302991136793862708943879936201629515413371424892830722
0126901475466847653576164773794675200490757155527819653621323926406160136358155907422020203187277605
2772190055614842555187925303435139844253223415762336106425063904975008656271095359194658975141310348
2276930624743536325691607815478181152843667957061108615331504452127473924544945423682886061340841486
3776700961207151249140430272538607648236341433462351897576645216413767969031495019108575984423919862
9164219399490723623464684411739403265918404437805133389452574239950829659122850855582157250310712570
1266830240292952522011872676756220415420516184163484756516999811614101002996078386909291603028840026
9104140792886215078424516709087000699282120660418371806535567252532567532861291042487761825829765157
9598470356222629348600341587229805349896502262917487882027342092222453398562647669149055628425039127
5771028402799806636582548892648802545661017296702664076559042909945681506526530537182941270336931378
5178609040708667114965583434347693385781711386455873678123014587687126603489139095620099393610310291
6161528813843790990423174733639480457593149314052976347574811935670911013775172100803155902485309066
9203767192203322909433467685142214477379393751703443661991040337511173547191855046449026365512816228
8244625759163330391072253837421821408835086573917715096828874782656995995744906617583441375223970968
3408005355984917541738188399944697486762655165827658483588453142775687900290951702835297163445621296
4043523117600665101241200659755851276178583829204197484423608007193045761893234922927965019875187212
7267507981255470958904556357921221033346697499235630254947802490114195212382815309114079073860251522
7429958180724716259166854513331239480494707911915326734302824418604142636395480004480026704962482017
9289647669758318327131425170296923488962766844032326092752496035799646925650493681836090032380929345
9588970695365349406034021665443755890045632882250545255640564482465151875471196218443965825337543885
6909411303150952617937800297412076651479394259029896959469955657612186561967337862362561252163208628
6922210327488921865436480229678070576561514463204692790682120738837781423356282360896320806822246801
2248261177185896381409183903673672220888321513755600372798394004152970028783076670944474560134556417
2543709069793961225714298946715435784687886144458123145935719849225284716050492212424701412147805734
5510500801908699603302763478708108175450119307141223390866393833952942578690507643100638351983438934
1596131854347546495569781038293097164651438407007073604112373599843452251610507027056235266012764848
3084076118301305279320542746286540360367453286510570658748822569815793678976697422057505968344086973
5020141020672358502007245225632651341055924019027421624843914035998953539459094407046912091409387001
2645600162374288021092764579310657922955249887275846101264836999892256959688159205600101655256375678
5667227966198857827948488558343975187445455129656344348039664205579829368043522027709842942325330225
7634180703947699415979159453006975214829336655566156787364005366656416547321704390352132954352916941
4599041608753201868379370234888689479151071637852902345292440773659495630510074210871426134974595615
1384987137570471017879573104229690666702144986374645952808243694457897723300487647652413390759204340
1963403911473202338071509522201068256342747164602433544005152126693249341967397704159568375355516673
0273900749729736354964533288869844061196496162773449518273695588220757355176651589855190986665393549
4810688732068599075407923424023009259007017319603622547564789406475483466477604114632339056513433068
4495397907090302346046147096169688688501408347040546074295869913829668246818571031887906528703665083
2431974404771855678934823089431068287027228097362480939962706074726455399253994428081137369433887294
0630792615959954626246297070625948455690347119729964090894180595343932512362355081349490043642785271
3831591256898929519642728757394691427253436694153236100453730488198551706594121735246258954873016760
0298865925786628561249665523533829428785425340483083307016537228563559152534784459818313411290019992
0598135220511733658564078264849427644113763938669248031183644536985891754426473998822846218449008777
6977631279572267265556259628254276531830013407092233436577916012809317940171859859993384923549564005
7099558561134980252499066984233017350358044081168552653117099570899427328709258487894436460050410892
2669178352587078595129834417295351953788553457374260859029081765155780390594640873506123226112009373
1080485485263572282576820341605048466277504500312620080079980492548534694146977516493270950493463938
2432227188515974054702148289711177792376122578873477188196825462981268685817050740272550263329044976
2778944236216741191862694396506715157795867564823993917604260176338704549901761436412046921823707648
8783419689686118155815873606293860381017121585527266830082383404656475880405138080163363887421637140
6435495561868964112282140753302655100424104896783528588290243670904887118190909494533144218287661810
3100735477054981596807720094746961343609286148494178501718077930681085469000944589952794243981392135
0558642219648349151263901280383200109773868066287792397180146134324457264009737425700735921003154150
8936793008169980536520276007277496745840028362405346037263416554259027601834840306811381855105979705
6640075094260878857357960373245141467867036880988060971642584975951380693094494015154222219432913021
7391253835591503100333032511174915696917450271494331515588540392216409722910112903552181576282328318
2342548326111912800928252561902052630163911477247331485739107775874425387611746578671169414776421441
1112635835538713610110232679877564102468240322648346417663698066378576813492045302240819727856471983
9630878154322116691224641591177673225326433568614618654522268126887268445968442416107854016768142080
8850280054143613146230821025941737562389942075713627516745731891894562835257044133543758575342698699
4725470316566139919996826282472706413362221789239031760854289437339356188916512504244040089527198378
7386480584726895462438823437517885201439560057104811949884239060613695734231559079670346149143447886
3604103182350736502778590897578272731305048893989009923913503373250855982655867089242612429473670193
9077271307068691709264625484232407485503660801360466895118400936686095463250021458529309500009071510
5823626729326453738210493872499669933942468551648326113414611068026744663733437534076429402668297386
5220935701626384648528514903629320199199688285171839536691345222444708045923966028171565515656661113
5982311225062890585491450971575539002439315351909021071194573002438801766150352708626025378817975194
7806101371500448991721002220133501310601639154158957803711779277522597874289191791552241718958536168
0594741234193398420218745649256443462392531953135103311476394911995072858430658361935369329699289837
9149419394060857248639688369032655643642166442576079147108699843157337496488352927693282207629472823
8153740996154559879825989109371712621828302584811238901196822142945766758071865380650648702613389282
2994972574530332838963818439447707794022843598834100358385423897354243956475556840952248445541392394
1000162076936368467764130178196593799715574685419463348937484391297423914336593604100352343777065888
6778113949861647874714079326385873862473288964564359877466763847946650407411182565837887845485814896
2961273998413442726086061872455452360643153710112746809778704464094758280348769758948328241239292960
5829486191966709189580898332012103184303401284951162035342801441276172858302435598300320420245120728
7253558119584014918096925339507577840006746552603144616705082768277222353419110263416315714740612385
0425845988419907611287258059113935689601431668283176323567325417073420817332230462987992804908514094
7903688786878949305469557030726190095020764334933591060245450864536289354568629585313153371838682656
1786227363716975774183023986006591481616404944965011732131389574706208847480236537103115089842799275
4426853277974311395143574172219759799359685252285745263796289612691572357986620573408375766873884266
4059909935050008133754324546359675048442352848747014435454195762584735642161981340734685411176688311
8654489377697956651727966232671481033864391375186594673002443450054499539974237232871249483470604406
3471606325830649829795510109541836235030309453097335834462839476304775645015008507578949548931393944
8992161255255977014368589435858775263796255970816776438001254365023714127834679261019955852247172201
7772370041780841942394872540680155603599839054898572354674564239058585021671903139526294455439131663
1345308939062046784387785054239390524731362012947691874975191011472315289326772533918146607300089027
7689631148109022097245207591672970078505807171863810549679731001678708506942070922329080703832634534
5203802786099055690013413718236837099194951648960075504934126787643674638490206396401976668559233565
4639138363185745698147196210841080961884605456039038455343729141446513474940784884423772175154334260
3066988317683310011331086904219390310801437843341513709243530136776310849135161564226984750743032971
6746964066653152703532546711266752246055119958183196376370761799191920357958200759560530234626775794
3936307463056901080114942714100939136913810725813781357894005599500183542511841721360557275221035268
0373572652792241737360575112788721819084490061780138897107708229310027976659358387589093956881485602
6322439372656247277603789081445883785501970284377936240782505270487581647032458129087839523245323789
6029841669225489649715606981192186584926770403956481278102179913217416305810554598801300484562997651
1212415363745150056350701278159267142413421033015661653560247338078430286552572227530499988370153487
9300806260180962381516136690334111138653851091936739383522934588832255088706450753947395204396807906
7086806445096986548801682874343786126453815834280753061845485903798217994599681154419742536344399602
9025100158882721647450068207041937615845471231834600726293395505482395571372568402322682130124767945
2264482091023564775272308208106351889915269288910845557112660396503439789627825001611015323516051965
5904211844949907789992007329476905868577878720982901352956613978884860509786085957017731298155314951
6814671769597609942100361835591387778176984587581044662839988060061622984861693533738657877359833616
1338413385368421197893890018529569196780455448285848370117096721253533875862158231013310387766827211
5726949518179589754693992642197915523385766231676275475703546994148929041301863861194391962838870543
6777432242768091323654494853667680000010652624854730558615989991401707698385483188750142938908995068
5453076511680333732226517566220752695179144225280816517166776672793035485154204023817460892328391703
2754257508676551178593950027933895920576682789677644531840404185540104351348389531201326378369283580
8271937831265496174599705674507183320650345566440344904536275600112501843356073612227659492783937064
7842645676338818807565612168960504161139039063960162022153684941092605387688714837989559999112099164
6464411918568277004574243434021672276445589330127781586869525069499364610175685060167145354315814801
0545886056455013320375864548584032402987170934809105562116715468484778039447569798042631809917564228
0987399876697323769573701580806822904599212366168902596273043067931653114940176473769387351409336183
3216142802149763399189835484875625298752423873077559555955465196394401821840998412489826236737714672
2606163364329640633572810707887581640438148501884114318859882769449011932129682715888413386943468285
9006664080631407775772570563072940049294030242049841656547973670548558044586572022763784046682337985
2827105784319753541795011347273625774080213476826045022851579795797647467022840999561601569108903845
8245026792659420555039587922981852648007068376504183656209455543461351341525700659748819163413595567
1964965403218727160264859304903978748958906612725079482827693895352175362185079629778514618843271922
3223810158744450528665238022532843891375273845892384422535472653098171578447834215822327020690287232
3300538621634798850946954720047952311201504329322662827276321779088400878614802214753765781058197022
2630971749507212724847947816957296142365859578209083073323356034846531873029302665964501371837542889
7557971449924654038681799213893469244741985097334626793321072686870768062639919361965044099542167627
8409146698569257150743157407938053239252394775574415918458215625181921552337096074833292349210345146
2643744980559610330799414534778457469999212859999939961228161521931488876938802228108300198601654941
6542616968586788372609587745676182507275992950893180521872924610867639958916145855058397274209809097
8172932393010676638682404011130402470073508578287246271349463685318154696904669686939254725194139929
1465242385776255004748529547681479546700705034799958886769501612497228204030399546327883069597624936
1510102436555352230690612949388599015734661023712235478911292547696176005047974928060721268039226911
0277722610254414922157650450812067717357120271802429681062037765788371669091094180744878140490755178

[AlonePenguin]

Continuation for issue #2885 submitted in PR #3387: #3387

Scope: reproducible 31,415-decimal PI artifact in docs/pi/pi-31415.md, generated by scripts/generate_pi_31415.py using Python standard-library decimal and the Chudnovsky series.

Verification summary:

• decimal places after the point: 31,415
• first 100 decimal places match the issue seed
• compact value sha256: c2028e2de6863496394cbad4cd86dee3cfba664906ab02a2645ee866ed65b726
• demo video included at demos/pi-31415-demo.mp4

[AlonePenguin]

Continuation for issue #2883 submitted in PR #3394: #3394

Scope: reproducible 50,000-decimal PI artifact in docs/pi/pi-50000.md, generated by scripts/generate_pi_50000.py using Python standard-library decimal and the Chudnovsky series.

Verification summary:

• decimal places after the point: 50,000
• first 100 decimal places match the discussion seed
• compact value sha256: 653b506bfcaf6ca3d0b3e29dc96c1426ae3befe3846564a302bbfc3487463701
• demo video included at demos/pi-50000-demo.mp4

[shaiananvari8]

Continuation for issue #2883 submitted in PR #3514: #3514

Scope: reproducible 150,000-decimal PI artifact in docs/pi/pi-150000-2883.md, generated by scripts/generate_pi_150000_2883.py using Python standard-library integer arithmetic and the Chudnovsky series with binary splitting.

Verification summary:

• decimal places after the point: 150,000
• first 100 decimal places match the discussion seed
• compact value sha256: 7fe690e4abc8af18e60992377edee7d9bf7115e29d43060bf4dab249b3ba1528
• demo GIF included at demos/pi-150000-2883-demo.gif

[fvlaconstancia-lang]

Continuing #2883 beyond the current 150,000-decimal artifact with a reproducible 250,000-decimal PI prefix.

Evidence summary:

• Decimal places: 250,000
• Compact SHA-256 for 3.<digits>: 01ad97e9f2aad1e1a2bc3d3bc44684745b44ac997d924aec042fa8ac78f2c524
• First 100 decimals verified against the known PI prefix: 1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679
• Generator/verifier: scripts/generate_pi_250000_2883.py

I will include the full grouped artifact and dependency-free verifier in the PR for review.

[vondutchi]

Continuing #2883 beyond the latest visible 250,000-decimal artifact with a reproducible 500,000-decimal PI prefix.

Artifact: docs/pi/pi-500000-2883.md
Verifier: python3 scripts/generate_pi_500000_2883.py --check
Decimal places after the point: 500000
SHA-256 of compact 3.<digits> value: 5f3abe6957d568030429a1d56b4e7f637f8c69a5a0caeef84b53b193de0fb037
First 100 decimals match the discussion seed: 1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679

I will include the full grouped value, verifier, and demo in the PR for issue #2883.

[vicentsmith470-web]

Continuing #2883 beyond the latest visible 500,000-decimal artifact with a reproducible 1,000,000-decimal PI prefix.

PR: #3697
Artifact: docs/pi/pi-1000000-2883.md
Verifier: scripts/generate_pi_1000000_2883.py --check
Demo: demos/pi-1000000-2883-demo.mp4

Evidence:

• Decimal places after the point: 1000000
• Compact 3.<digits> SHA-256: dd382ef6a0c1e8d920fb72f482d74826251ab97709520bc24f913cd8eb5fc839
• First 100 decimals match the discussion seed: 1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679