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Can python calculate simple factorial? #117524

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amir80aaf opened this issue Apr 3, 2024 · 4 comments
Closed

Can python calculate simple factorial? #117524

amir80aaf opened this issue Apr 3, 2024 · 4 comments

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@amir80aaf
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amir80aaf commented Apr 3, 2024 •
edited by terryjreedy
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Bug report

Bug description:

# Add a code block here, if required
import sys
import math
sys.set_int_max_str_digits(60000)  

number = int(input("please Enter integer number: "))
factorial = 1
for i in range(1, number+1):
    factorial = factorial * i
print("The factorial of {} is: {}".format(number, factorial))

This is simple code for calculating factorial but for big numbers obviously the result is WRONG.
Any number after 5008 factorial you can see that the zeros in 5008! disappear and the first digit exactly before the zero in 5009! is wrong so the result for any number bigger than 5008 for this code is obviously wrong. Here is 5008!

16637172630537621608085965892860582095729753805744666437064475704943045660668023448138246164492721364797047720589084413054789241884918379637064533611401062907571329702493775935615765056382506878731953923330298300287610224396236064696704730604802725723934578720494425656286384488134838651531572307983377010974137248071312483251423640807534208042180044786243543416380710088274737901990564892168054006591687359748131188188673514551596323206634084614499420164997667606513067567802470221973747335242963397014272420145583526527722122744263594320251765901668670565792026056847295140705339597972308026919316445135595838718414800326820555937726323401371542652768156682326016838090034928117761663760592281961767059189891942010513966654135288285766940696786150522305542136581334647295394944123276389818739212773578823597501484026541154170191847344492250030948140493678638813143727522748860851896761788343118050022253011827364894391715568033901857550693714057976915004239304677191501366518826471511972316883276609547225838501382367792290778106384298326704714517586378809560931460426239430936955239359056386887285532388174702034380973697242908246588385976276117898172817693015575377560580260480456965932283011425212106120011481354309690943837936490117134690581080881088474648001960318650032430225441872837824125413087301265100080371253156127461088971325197895698052259401247524112327588547102259253554199783161403759298363493937894612298085742014233391323505141401226736190082287940852088713789228198212843384327494309491309822958257603119092845198307920411104987144290231355034142661748835052886783840062214737209900005812026894281545699750231636193303225795239193138392339051566541246532999082877048752030657415013008879202532201384292332030574633883822748750152942592883049005095579572417471368650991683343330324042074381976425276829247724145034182463740997881720148511989519352503831123834878323951421372829684224983528530904798113535056624434268890362071598852089741641471994292690620919370723659847361568628107348047001057869946906701922740237841439794371559346123883759682967350693491049489927449522669072669231526759288133577461175826748283913271279991213806495149721976194672782783065108845275014608041257904820690601239686560709182321188144642658530621745282158181676387170861147367498430247270255479730428636394646264849117348551100663111068249420297920615323252133777825199765782141456281356930194589303168085955274412447386426536133250783573173265596470258708100948486743658819154790764657512890653702373938929116300657465748408123698767030896235583658711259874611085992871292264533675131439642450758482623849512689709146764591142797682604464517614682930216830275236788986349870555480916593668426964254054298033401661432408888669987815569972859044099450119809429796944879125455826892394523154418651749047702881168003654676737828556736037526096164200533636004680510890504625460535904017221075582198694232234691112564286455849811480317805962319815161679017629248314094890258905398071453093927038801995899109518010571505009131755908287932026862831579469733645713751454691927119845516526016254189256835579672166210907590048081862862224987462949684478842634640017545677338259191110246308754602960630824332581256254047334532377080893073841231766178386559162122349891136510954938835360172557482169781337315844096082467600012177696459075635322081611894981339084316227576922156862123464219890151234043813990139625927293132712240029924219814549098510783369846394851803717818058441002902065273404828888366506381666920237991986664541046724297228080826138666909343251156678212529598391028869496223542080913020326912659421327626496977629040567706575082552974251664427796782819483684053659884983042714027405650063562812634501163101138214258428064751887302748129765830156759610422239709980141548432169168451145904253117025563930471226391440673339958906085818510906278055276124823925764685693238302710721434267885856032116612378497501613470833185841451933237594551736733726990408047675961272529207845267101704185758895815294095058060269292567129136362718830701166411262127616580284721285609074848126809190729909927347804336059096027391479851423438613232355051337552712103300459314686342674759832404720255810516931364299764812343825443533153424125550604594501941215893918833204449972673796918260569821951088710361764549529371834722798294139672886601263687564666758221575446129820119116285365342351334581752666502617212902034316364872553493356330552683355117451644759910399777907914258519035317791376555418161854727998130565446784412383662944318336264298401345800953836610001788261821151072635306229893533029208486118408877760001036379884797417714328769165780683118200927288057659230528176013743478229568656656288531857536386968000881820883226436726791511606931469019382779497842533498939979016632641075314562034397326719847647923598113315204023918887909063468160163643458326831158354762181507916631547500374337557482904520621902447702713627299210275196758820149861216293084677956611730084608240157756602117497523120297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033521766869866455100951423508907170678342564082015605173295895868147525849999539489812315878736926238310400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

The last digit before the zeros starting are 4 so in 5009! we expect that it was 6 because 9*4=36 so we know that in the 5009! we have a lots of number but the last one before the zeros getting to started is 6 but it is not and the zeros are disappear in any number after 5008! including 5009! Here is the result for 5009! with this code:

833355977063629466349026031573386557175103368129750341832559588060597157142861294517244750379440413162684120324307238249914393126015561636020562488595079241040247904797913236614993671674199769555683572019614641861406396140007464480657939955994568531511883048109565781123384999010674068055216456906887354479694534755892042286063810168049388480832798443342939089726509768321681621510707395448697825190177619849783891216370656343889459829420301298340275956064733170410239554471225733418665004022320036556444905525092278843773601128260163439501410954014583708640522585187481013597930460462432909068388560736841995561405397348370441646920711539174700571477156968217710183419929849549418681737768067403464911994821687375306644589705636590234066059502018279662284605621359052483026332751134914366020647167828563273998849334889446412384909633485616804050192357328363018150369311614490440071508797978106783125614653362432707560081032802818144044714248137164063672562346771280522303448928017958034693352683325372220542250534242802715845075348789503184639150185901714570907056852750333095632087939495134419184132317323670824902142972494897274071612253551670745519476438243150170662009465247466089423548056042288874395551375101037372419376842238789967276651206341333721695118418192361180124429992383410446610441941542920368863025796070590424525946573679162595515437673408488482786488910324352166010529867138554714303255027411349141130011114817492950571394372532787447215761221802957281123673702440448481325120964189962419709031979123340235360615983243733392248806057497688573660205926999147799099002548716336186843891291124427134562624100489102656922558580083531184302072263092968051038837924061311371989215629918001614759254837967339202911411483411240681484895160894477511924665237580782391140855728173418667415931267505793199142116377018502424762199608786583895362238965555024366916900992889055246726696565038882829424944113021337506970986317912528718236166386501175158821332194120873201851279548121754340972581897063674282988705640556699310058513477719300071407647345337522519834596236966668950465946590493850001807175372742610895030297161821541215758414759899567342049573787591159689603731302059825481716786608452468392216095899825922942468314165150765798843221183303320170233388434871637996371085767096979697170397007831406292287988924632215233408613462722843621541699380931264256268027465545133168633446978195689425499695319489586105194914531749180248873727195258688776509700989870251463469401694820692843951910600959435499932459337762916071240577592440385464847007119269297382923029530491787333811690358492394628622090627531161438370342735921657627687319467974561028486610760326265016124039112176851506639485579788493089221149361233479689681899940509518941456501254338528968995394082369040041664804830266109799437317705303062757797832406908119682156864804729827474446790505376689318243432222603675912332594092635677828345108573517057049118900652599541448501993049048053013053068571389399085474805373591974586395757149526685907409653446142515225559233815638958313801810365518629433061922788154172339874894185778805504361185508420510768849622019149695545227569118478862977873402882712237605518062297997990818995125765230986726767981934068707299167875382748430708506047027833732886263191043404281884347186150630772770802084609980815635098573283067939819615274733399839328030837223764322774297675313254642766093862698113017556103098904170510764344405138995605918126848225506547309835364449544847879018278304657696034721018612026861030420048154568581285825489003450438011665607583406636073065837222832933188175055110414300811233609438642036422345885078480265871188340851427937734247823638800609545632749011683861284862163259736013152204661763422034994653819970432552088886049987072905290160967353647717898344038631810497277303729947263327598541605838649211295467788781092430441553106374306582780036642478402528648721114038939855818754034278798327335871111096492992384949539108088900140988020969429124362664663091388081221458238888864687498440408586229821425540119972314506461689196158559142671872363661188260851519193200120012039225757800040136808664521498015349254320007072638904578720005152437613548793092037775219450302216466575655014448829784138602235504126394355210899131230487635671942381530033502020786285926235201264966553456214889857298110114157919318714096642689766534733949998378349199991065116096194262898906716466204482218597383909257833152886023911924875407425209218479068170051660895727303325426360023229431216297676880905463478706923411169777675794989574034621457228302489055367069433053069671100686998451912268429502653310728047513954417390684447858808150857156336528410824519094011913492560743997623227164170408040812215644986816391197283180883425046932502961903548943128991462506412302962095397168684493029495958569558097095364989120142596900827590972721990037671731544074214293750568254318687437951093605428925591417442684605649301306548324120611518846681559938026749502028200065450933095676770074990418814341830619304407248181298811835206421821758751955498413507758848691120151064008840940257294779370664916224974742434729107126378983051210269434054229702063640022848146194408376877340375763285881059110506517024058439274877935087124148056470191945387666203144923851952150706370950365566087002905241032065612279104897909613908679166171246368914688811389339694162377685179271480274962980579888319266361570893244103640036868306967962234581478262446933116029891842730585253031043295795525751565729003605839558148648954770266767988263756670560930503304202110581766252239127970928473876457377263726907493081089243021599904294059588234906664262571446508231234344913374436644083800202728569265360359707781509163195583797566099944749755217550232967854021858539682892939559564917733446939666652235526151354974936424104860024030446742122043609773545029558472784493895670646197268621697414250983063975250265124509205075387249863820639629024155240918120878606764788862163706716740045112909120471428443292185175189113936023410776128590010843778225777781944460648078822833242388599985257544517606035230556548474479506272517470068753456884298534655903107669931101298352789010989656862674859893881130052286314960456021386279842772451751388352803987932818042723545740763633524107142487562899927131432371385236787289831002446452965329626569572301046388791025383381466979379908709759389525935682761715832564416009499849604640992672362563275314674238123173952204415213346572271883620676514056837858003186370429756333542470907983514685063014446301092154813981889673831626608366486928871637499433219290138293605883269277367658568043062971026538822977044771993676317417217544670675136206683503974719229347270087229682525987812907053021174870266355926738904473978871540598898585281146608962101040564785422785514418645438235867212889242526136798836709306953038306071005594475096021675880955799881566872080206323994101903818277642086660624004049309068052742994605262236078959893038606134303258756601420102294432945622386441470008870043923705734038984666481489220109587167299801698262912724562897207573983755160181681670211531012291027905057394335540618990936067405604148631242353489064297054451034029567135414364572618094666768405739624234166998211700490916197790321934317730863551199640479291975199756579064863436284256794078351751979607432909879578776051503635081713347675845846866198376956492987565806962282422654824738707883279475459645978426613823432983439921709937351943388324074664133366189810605285894768636068883164174546942394961512922643111411584220688031226813386483791785849190545790007377365178711630766571156783365519103654038108255149783126504031958167117495519451485453424778861743057792552763643551347669040968879769136334695246640029434548800785344115203371369097571428637689881713756395059281315833717134905234024609646573396892404393096872230236163503953681541592335521472712583483207604278352793540715356114911457426098135866079663046852774403707652449001937358300074827062910514060167960545659821509211948814571700049670756693176693208352833651940450511584291532630351614990201534596707052122288691961289919816559123392565113517522329320721367982602865981587

In the line sys.set_int_max_str_digits(60000), I make the int max str digits so much bigger than the digits of 5009!. Max digits (60000) is for 20000! so it is not overflowing, but it is still strange that python really can not calculate the simple factorial. Of course I test the math.factorial code with import math but you can test that this happened after 5015! again the zeros disappear and you can calculate again the first digit before the zeros is WRONG.

CPython versions tested on:

3.12

Operating systems tested on:

Windows
@amir80aaf amir80aaf added the type-bug An unexpected behavior, bug, or error label Apr 3, 2024
@gaogaotiantian
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gaogaotiantian commented Apr 3, 2024 •
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Can't repro your result with 3.12.2 on Windows. 5009! is

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the last digit before zeros is 6. Are you sure it's not your terminal that truncated the result?

Your string is the first couple thousand digits of the correct result - I believe you just missed the rest in your terminal.

@gaogaotiantian gaogaotiantian added the pending The issue will be closed if no feedback is provided label Apr 3, 2024
@terryjreedy terryjreedy removed type-bug An unexpected behavior, bug, or error pending The issue will be closed if no feedback is provided labels Apr 3, 2024
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I copied the string posted as 5008! (which is easy to copy when reformatted) into len('...') and it has 16356 digits. The string posted as 5009! has only 8161 digits, so half, including all 0s, is truncated. The string Tian Gao posted as 5009! has 16359 digits. 3 more digits with the initial triple increasing from 166 to 833 (which is close to 5 * 166) is what one should expect when multiplying by 5009.

@terryjreedy terryjreedy closed this as not planned Won't fix, can't repro, duplicate, stale Apr 3, 2024
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amir80aaf commented Apr 4, 2024 via email

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Your terminal truncated the output(VSCode uses a terminal as well). An easy way to do this is to convert your integer to string in your code and check the last couple digits.

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