Inhaltsverzeichnis

Development of
Algorithmic Constructions

english

Distribution of Primes

P mod 777
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277278279280281282283284285286287288289290291292293294295296297298299300301302303304305306307308309310311312313314315316317318319320321322323324325326327328329330331332333334335336337338339340341342343344345346347348349350351352353354355356357358359360361362363364365366367368369370371372373374375376377378379380381382383384385386387388389390391392393394395396397398399400401402403404405406407408409410411412413414415416417418419420421422423424425426427428429430431432433434435436437438439440441442443444445446447448449450451452453454455456457458459460461462463464465466467468469470471472473474475476477478479480481482483484485486487488489490491492493494495496497498499500501502503504505506507508509510511512513514515516517518519520521522523524525526527528529530531532533534535536537538539540541542543544545546547548549550551552553554555556557558559560561562563564565566567568569570571572573574575576577578579580581582583584585586587588589590591592593594595596597598599600601602603604605606607608609610611612613614615616617618619620621622623624625626627628629630631632633634635636637638639640641642643644645646647648649650651652653654655656657658659660661662663664665666667668669670671672673674675676677678679680681682683684685686687688689690691692693694695696697698699700701702703704705706707708709710711712713714715716717718719720721722723724725726727728729730731732733734735736737738739740741742743744745746747748749750751752753754755756757758759760761762763764765766767768769770771772773774775776
10^100101010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
10^200101010001010001010001000001010000010001010001000001000001010000010001010000010001000001000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
10^300101010011010001011001000001011010010001011011001011000001011000010001010010011011001001000000010011011011011001000000000000010011001001010010000001011000010010011001001001001001010000000011011001011000001000010010000010010001010001000001010000000001000001000001000001010000010001010000000001000000000000010001010001000000000000010000010000000001010001000001000000010000010000010001000001000000010001000000010000000001010000000001010000010001000001000000010001010001000000000001000000010001000000010001000001000000000001010000000000000000010000010000000001000001000001010000010000000001000001000001010000010000010001010000000000010000000001010001000001000001010000000000010001000001000000010000000001000000010000000001000000010000010000010001000000010000010001000000010001000
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
10^618818411711740117501871920182001651840186188018518601871830018701891830174001182018917701821770178191001740179166017700177177017617601791730188181001740179001840019417701781870179168017619500181018518701860018918001811880181193018819100183018017701730018018001831930183183018918200186018318201960019017501881770018201861720018901831810182001801900171180017617101881810018701831790177001840017317501791890184185001770186190018800188194018318801791870180188001700188173016900178179018419801761720175181001870186165018100184193017517601641860170194001680185192019000182175017218601831760177179001810184190018400175175017718101930017918000190017517701890017317201861730174177018818900187018717901830019016901861810178172018218500173018517701900018218301841580183180017417800193019117300001721830183178018217401811870018601751890187001761960187182017717701681700000192177017600188190019119001791810187184001800167173017900168188019518401841800184196001830176175018300181179017517301901830184183001770171184017800181185001750172189017618100186017318501770018317101921810181185018117600196018119701770017218101881930181185017618900181017318601770018819201891750181186017418000191018717001880018618001881910181178018418600183018617501830018218501551810193186001720019301871830185001921740186182019219201871790017301931940179001751750178001781830173173001680174191017800181191017718601821890166180001790186192017900183183018618101741850181178001790175190017500186191017918101801860193171001820019201890019118101891840193188018518800182018018201850016317901761850180176018900018401811830186001891760186178018817501841760016801861750186001811810175176
10^715761529115391521011539015271534015450015401530015421536015581527015311554001519015791584015430011566014951525015401540015221576001531015471532015290015241551015771551015111546015381544001520015180015230015461547015451549015341539015381546001550015461543015050015511507015601523015141527015551548001520015341543015400015121525015291533015291577015071541001535015481526015470015521532015511538001539015601519001548015161518015790015481553015621515015281542015201524001552015201565015240015460015481493015121568015331526001549015231548015170015561543015381523015381555015301502001564015451527015000015491539015691565015421504015031548001543015411526015270015491571015331581015091571015261569001515015131551015570015241536015271573015271529015481579001524015131519015320015281522015721564015480015171555001540015501545015280015161507015271522015261526015411549001533015411557015370015431552015871535014981538015311526001561015761558015540015461546015311499015471503015231510001557015181517000015311556015211545015431523015411546001534015341519015190015541519015231548015101522015361558000015641546015440015501528015371540015321544015611526001546015571509015270015131528015331541015281517014891545001542015391536015280015361519015121535015201564015301571001517015591527015500015441564001533015301509015671541001556015221532015630015221548015201551015571571015161533001522015391571015210015191558015291529015231541015421545001525015561537014990015451567015551551015411568015371520001529015521525015670015551540015271548015711542015221524001494015351549015480015291522015201555015461531001527001561015431561015680015351525015401570015731541015491502001504015561547015630015361535015250015561488015261533001520015241518015420015361560015371538015411536015671557001548015441565015640015371525015151531015271527015521527001559015151553015430015501580015241536015311557015531512001547001551015710015521537015581539015381561015741531001556015491525015470015091511015301518015401543015420001576015491536015100015551534015531529015321536015791558001541015251531015110015501514015421542
10^813438132771133401331601132670133241328501330500132631325101339913307013420132810134371342300132680133281334201340800113357013384132610133551328201337113327001334901331013294013376001328913293013331133880131991338901329713330001329801332500133170013409132920132981335801334513354013346133260013404013357133950134170013275132620133501331401322213361013347133180013301013290132730132720013404133340132651333501334013315013221133410013363013343133340133090013339133560133691326600134090132971333500133860132671332001333100134661342001332313268013208133290132821337500133900133531327801324500133040013410132570133411343701331613313001331001326113424013423001337813227013234132800133441341401331413374001340001343913319013320001337213328013335133660133461332501331813348001332701337613283013333001333513325013319133680133481329201332813330001324901328913343013377001334213357013401133080132751340401330813389001325601331913304013256001336613344013293133510133740013302133310013372013347133690133740013394133210132291336501333113342013386133190013313013320133840133430013287133750133591332801330313385013323133520013306013463134030133350013304133230133471331401329313348013369133370013317013392134710000132621330001334313361013439133180133741340600133080134151333301334400134281334501331213300013291133990133081335000001331913364013332001330613360013378133930133801325501329813278001336001323313316013363001334413301013365133840133151327801326613410001328701340913387013297001332613322013308133010132751339301329413388001337201327613276013293001325413468001333601337513325013366133090013330013250132120133280013348133000133091334601336513263013293133100013297013404133890134310013382133810133161342201329813281013360132860013393013391133390133190013361134570133411336701334913338013393133400013381013261133110133510013272133390134201329601336513331013363133520013317013306133340133340013254134630132261337001333413304001333600134160134031338101334100132731332001327413407013373133780133131321300134050134741328401333900133451326201336900133571319101329713294001336401325413291013386001330213345013357133630133671335101331313377001328901337513392013331001334513304013320134020133211333401337113440001337101329613298013420001340013366013428133260133211338101330213265001321800133460133360013220132700132871342201333313368013398132970013356013417133890133850013351133570133311332701334013399013273000133620132601339101339400133071335401337313350013371133150133961345000132700133281335101328500133591325901339113383
10^911772211774411179021178110111746101176361176620117603001177051175270117696117786011778111762701176021177180011770901176371177490117571001117820011775411744401176911175680117610117944001176930117747117391011786600117694117807011764711810701174741177240117736117822001178040117758001178310011770611765801175611178710117724117726011790011771000117607011753811744101174740011760911746601175981177840117592117837011784711744400117817011767311764001174630011772811762701176931176560117743117805011751811773800117821011767611762701175090011756011790401180461178540011759901175841177780011765301178231175740117720001177161177650117774117620011790011792001176281174900011771301178021175990117553001177600011776611769001176741176280117779117930001175670117470117763011793600117806117901011742611757201176221179250117663117571001177480117763117674011760700117766117402011783511781101175141176870117338117541001176430117623117508011785400117729117684011779211764401177521174290117819117435001177480117732117778011770500117820117639011784411774701177541177280117658117899001176700117828117692011762400117565117927011750711780801177430011752311763000117860011780111774201177100011778611760801176441177250117842117791011775911783100117811011752511771001178690011771611778501176951175350117648117771011753511779500117669011779711766001177410011737011773801176511175630117647117796011762511755800117793011765911777300001177081175890117577117588011747111774601175021176130011778401177271179560117981001178741177440117844117757011755511778301177331176290000117623117818011765000117780117449011757811766401175881176450117548117862001176990117849117700011771000117681117737011778311774001176091175840117731117730001176810117838118111011760500117719117883011748211751201178331179510117772117605001175560117768117541011772400117729117850001176380117843117630011761511773100117549011771611783201175310011739111758701178911175920117720117683011787011750800117670011779911772201176560011791611752501175221176180117763117649011773911767200117954011781211754701180460011788211772001175521178960117734117698011780811775000117637011776311779701175250011780811779401176881178410117863117503011774211780500117421011786611771501177920011747311786101176801178810117638117748001176640011779601178181177820117821001179321177790117634117900011783911775801175431173590011784001175281177110117664001178541176040117919001176671174600117813117840001179900117582117918011774900117509117772011775811776901176281178910117609117799001178060117859117529011757100117773117673011773111769601174921177250117833118172001178390117664117877011787500117358117811011777211764301176591179330117603117648001175520011771101176010011754611784401178281178560117569117892011783611758600117608011777311753201174480011749511788701177651176560117850117669011767700011766501175081175860117588001179451176600117606117667011763111753601178441177060011761201176571178090117970001175961174570117767117468
10^1010533011052970110538091053445011052936010529281053417010530840010530881053576010539551053038010538061053846010531001052900001052846010538471052506010538180011053321010530021053017010533101053972010531031053643001054283010528281053062010532980010532521053390010536731053458010528361053364010533461053362001053034010529740010530820010539901053168010529771053124010536461053411010538791053298001053306010531011053489010524420010531231053178010533171054176010537121053235010533731053661001053490010538181052919010530930010532671053308010541291053764010530091053629010539361053764001053915010535331053071010533100010537981053445010530101053727001052910010528171052934001052857010531961053678010537110010540731053820010539731052628010538021053561010534301053290001053430010529081053366010533930010533810010528001053078010533691052975010526101053834001054149010531581053274010540460010537891053745010533311053129010532281053648010529851053287001053460010530611053643010536800010536531053663010534371053672010532291053296010525751053222001053151010536051053593010523980010530261052809010542221053483010538601052745010540161053550001053896010538471052991010537280010531011053211010525741052468010530771053721010531771053645001053013010534541053726010537130010529811053604010526331053300010529030010525561052949001053664010539111053134010535700010533921053288010533081053613010535661053181010535601053647001053308010529961053060010528290010537521053217010527621052881010532621053644010532971053008001053264010536831053150010534090010526041053251010531451053699010532621053378010533351053305001052858010527341053298000010535691053079010533211053277010529931053085010534211053162001053657010532221053459010534940010522561053013010544321054074010532401052583010535481053761000010537411054032010540750010541651054125010529401052589010525761053192010531381053793001053418010536031052778010528840010536471053272010528501053036010531821053244010530911053610001052964010536881053486010525860010533961053393010535721053238010533991053690010529921053186001053597010532041053266010528510010532621053363001053275010534511053409010531231053833001053118010537891053823010533890010528371053329010527591053835010530841053027010525981052974001053186010537971053101010531320010534341053052010527471053326010529541052690010538051053713001053915010532941053520010540820010536191053392010538361053204010537201053400010541131053620001053158010532081053304010537360010531551053484010535591053416010537541053382010528081053047001052733010538191053026010533610010533901053171010531091053515010534491053460001052952001053402010539511053561010537650010532411053334010534561053505010530521053771010536121052832001053211010538531053197010533780010537191053995010539220010533991053113010527741053261001053731010529941053789010536200010528241053467010524391053953010532611053613010536671053884001053435010529791053506010531750010533081053014010533311053656010536131053004010536691053654001053343010533941053727010538130010535171053223010540861053234010527361053442010531211053820001052738001053507010529910010535631053092010531951053972010530501053959010539711052641001053469010532021054018010526960010528241053373010534601053489010538051053802010532830001053439010540251054221010535310010534811053819010529561053279010531391053384010537981053351001054353010530861053788010540300010532131053022010541181053465
10^1195310259531766195322209531262019531137095327169531721095323880095305879531263095322979531806095318549533247095303059530507009532231095319039531905095344760019532115095331079529317095326079533217095323049534288009535249095313769532580095325150095311029531681095333089530958095328509533630095316289530526009532865095317090095304480095328959532818095318339533101095335729533378095337989535009009531445095322139533334095323430095320019532606095334659535608095317179532914095331049532828009533728095316549532044095312860095330399534045095340649533924095348609533871095334819531757009531086095334559533955095323370095332609533149095311909534307009531922095323239534069009531920095323179531930095340950095331189532871095321069533690095323779531493095326739531776009532660095327579533991095325340095319660095330029530470095306209530495095303589533633009533249095316469534141095329230095327419530312095327739531814095340889532003095340999532575009530202095308529533423095338720095309599533550095337989532400095324669531272095318279533159009530871095334429532220095295760095312839532005095314299533376095340319533974095343199531544009535765095334449532500095341760095324479532505095340759532764095322519532386095320679533196009534801095301719534048095323030095318259534413095317949530168095329940095315829532715009532044095335459531009095354980095339019531383095329589532092095316109532681095321099529987009531675095315809532136095324220095330199531992095332759534555095320629532889095343379532184009530847095334149531740095326820095328839534723095329949532123095327189534976095311659533351009532701095305049533063000095318519532922095350969532949095311929531411095324469534577009532547095321619532699095319000095318639532714095349939532857095318569530631095320059531967000095343409532127095330680095343609533114095316769530555095338329532499095314109532651009532813095328379534147095314620095317859531993095320479531397095312999532429095334819531801009531988095338049532952095319260095335279531790095335669532739095333049533818095319259533347009533301095323789532753095325160095329249534152009534687095346189533692095328959532862009532136095325409531937095329470095308179531719095313199533391095320729530808095311739532240009532725095332369533692095310450095319429530776095317829531791095335529533029095308879531587009533476095325649532724095333370095326519532390095327599531566095309349533489095318519534074009532061095314469533844095343670095304919531640095295999532989095321979531888095326709531663009529654095320099531493095328470095329259532550095316999530752095327659533826009529356009531736095345269531517095326890095311789532318095322159532424095349099531225095325009532564009535052095325229529125095334260095318349532544095320120095303799533000095340099532227009533765095338369531863095334600095329219530696095331119532647095317529531951095319329533345009531083095341249533247095309370095324079531559095313999534892095305419534033095325289535452009532908095316479532189095320930095335649531940095312259533948095320079532868095304239533795009532668009533479095316010095325819532503095338949532963095312979533072095309749533004009532425095326479534037095322690095330909534508095315359534365095352469533203095336550009530379095323219532496095340130095324419531684095325719532405095324989534275095349469531942009533895095332209533267095324620095326029532338095334649532575
10^1287049525870583031870554078705906801870605840870513418704960708706631200870538228705494608706249787059143087059225870548670870528258705585600870607320870588838705385008705567300187058741087057348870564720870588798705455208705343487064463008705866008705629187053280087056558008705620887058600087060253870446420870519108705262308705716887055529008705460708705175200870517630087055927870570230870547318705671908705779087061935087061284870546360087055027087057691870572360870540470087052140870552850870531188705875108705175587055814087056760870518900087051055087056975870539390870546250087056640870591120870577598705602508706029787060465087053076870543380087052741087057405870529270870535860087059767870566090870611198705805300870561860870546358706175100870534240870558258705804108705846700870511148704947308704627687059535087050579870577540870587298705802700870560200870653548705817908704890400870618750087049664870527550870562968705392508705051687061941008706003508705903087055257087048593008705554687059951087056139870593460870494828705854808705694787054107008705296808704644687057349087058110008705112987060428087060004870578730870555808706012808705346587054235008705610608705316687059343087050643008705330387057918087053991870516790870552098705128308705635287046208008705484708705240187054446087053568008705299387054432087059264870544330870542888705827908705560087049020008705948708705892487058466087058110008705756387055881087056818870527800870559810087060086870563840087052328087051439870520490870592510087058123870562840870572678706202208705504387056829087057548870515510087054296087059073870550930870549280087054624870556950870584638705977308705853387054912087053237870519640087054591087060309870593300870593670087050348870593440870532798704638808706089287056727087054930870521090087052687087050982870577950000870574678705452308705735787059680087046699870563290870514658705790400870552240870506938705985108705696300870539878705326408705307787063305087057072870536230870564828705481700008705996087056351087057329008705144487062905087052807870543010870531998705971208705426487059362008705467108705888387050694087056249008705736587056174087053742870522780870546958705481308705634287055110008705100808705587587053071087054261008705433487054587087054095870555400870535578706143308705942987058241008705326008705915487054799087056843008704679287055066008705807808705622987056734087055343870516160087049114087052810870609960870594700087059503870581930870555408705045808705550787051967087058434870595690087053461087059412870616450870537600087055507870528240870566888705437908705612787051676087052418870556680087060841087054895870587630870522230087053423870541780870588238705185008705503287054228087048545870572730087056614087051084870613790870558680087052214870559540870530928705162308705009387052046087050191870498040087052905087051943870554390870517880087054176870541670870571658705584908705473787056557008704969200870535570870572388705438108705920700870568398704862908705483987056746087055522870518280870546998706182700870589300870508878705305008705156400870570968705457008705497300870496978704799408705586987053229008706305008704943787053332087056150008705486387056661087054402870519010870577928705396708705549487059161008705550908705951887052206087055618008705890387051575087053377870568170870513098705885508705452787053987008705508608705589187055220087054124008705669987052324087049066870495770870583508705501708705417687051623008705681600870530430870525690087050007870534660870551118705559208705389787055212087054888870532120087051310087061401870528630870455410087052958870509280870524358705498208705661587054826087054093000870615620870493178705421908706443500870571558705671908705726087058369087058976870471690870562768705572800870540540870539678705237308705597600870607208705270608705970787056602