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Enter a value, an expression, or a term with a variable like 10^n+1 to list a range. Switch to Database id to look a number up by its stored id. Reading never stores anything; use Create to add a number to the database. See the expression syntax & functions reference.

P · Proven prime
id #1100000008215986724 3,395 digits created 2025-05-14

Value

45240318334970778301977296890360001525138800506324378584204056967066622474007918617367546570645599569360731595289006097518031680017143715525593722649715589700348886469224148600632612261019683249948557637959557789103548381392739158806160295420171228911117639369431247231189928320413866273814470706761949912675913539443380311710270000763482430053551635249251373458781498335809229908712868991826544543888382143681010972365743349129533232962981435165469371312897413229024986750215325179580678763931618141279388166804406671638521321779048077044773097457337123721481809556952930199536014873289683134827712832999866204182486389760255421930931792412770669190522900290005793067129337802526875840586205016089150559777757149125230730146357645184981444365804576911481795766483215735503908934084358353469663994911242589867944282719659144487106639345998737494169683538272271286861295213232329353620520267634337494975862760288331738577998420262274857561099112138384271266687901956436663467649178560641579395102090613947270441809897682118218041297154920954178686255591971206023227922995896113456169408777200157503327571807367994505613451450947545828549981247393413345584300260480061136469064228500828108869842246893144284173810907173160638444936483985390076658886699174182184949583545379509234639369139146329714257150127596414719314375745632432574506603076523190865843986685076623671933762138776733750376420685164301394188608721520104321223556268980289144078214161203911592019419247502370163287165851526154877615703145766424455539329768363454177453850847494639734005238186686416737500720782932226321641388869844789165831007359828125341797577468882022797522675318258758602683388214559188648908212001886970082388047141088577170379941750844305062325571532370780554419028945378352363792350368922994770301983579872418342700644232899627200688717205237055751402681822415017858081627885699392427495619074393922148656104946105083954344471201474466922766094000796245825161578563431219431930010775446248127885085062175428034672641848917515917022146139536037089802609265524987950823581081047419929878257393935857822073086387005082697187257137631513539400851239244771347444712359733224625522280453176686551079796682870933166149010736371884219695361338253541234610764190713387671181022989435468466468850237303322501876109667284383100909925492220860540877920766732485878167192642304706547350626349861120497689700228779400986399196498600110429113647414152395808918977284362377220987981328014761958850149424057605389553874074500287715100713656554769052421443928899567153196190092995298668693544492892308791072794077893546916640670471856871302912070348352956538989612497046946907696529225053736367535439797497878291955825651805960630641436276597947032017124056276151667488338560857532771608646818989436500346765854840942681332014194426688183511248985359554166602211817179063144045823402388368164577916158087791256250711272745153550732126747472068970689725263139927004765324915740970798310625954956855558598668808525309040869674633619047567757702334773370197406204387818364040001235123291763464561015469524091634734643323847985137567651942271357204555931348985662781424977634424198846404777458888080729464960670780394102124347260842611768333337418079771535594827518170319476958979341145916058604727159710841468248172270201398006965503125932562368468995145016287478185374969811100373903276904549190245241429737787633918383415170481
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 23 of the certificate chain of a 3,724-digit prime (234 intermediate primes).

Certified number3,724-digit prime
Certificatedownload
Certificate chainshow step 23 of 234

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008215986724 --detail 2 --decimal
curl
curl -s 'https://factordb.com:4059/rpc' -H 'Content-Type: application/json' -d '{"jsonrpc":"2.0","id":1,"method":"get_number","params":{"target":{"id":1100000008215986724},"decimal":true,"detail":2}}'