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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 #1100000004835327256 3,466 digits created 2023-10-24

Value

4311982363479353587055518800111632152774580229464586844049973904118576432736750863224337311342019075080348408067828605023586470174661828302691598559801707751260063190053404251033307402229660972454853343765455213400312038779207076250413397010317246580642829782458181413635281665275123826380573777630638810130859505153922233655134712628184764731037115879681134636326791828562112397425803963438435894195387152524208236969774793761092531900458752980106964430066662982788308888298716251441248956199157322898861012365161782285975454692211682094194459238634382229543221088969531477606890981716225088264092841780904856492891585360979287337850567828345647544418262645981420685038342366729615754305395973706395448670585367171204871750676756001909679531749283880596110907534047020934503087950369910485422437197512409346763261254968567270896915159499394461125701348010851065727242918160001756543168691245044401428728721268167560138193703975684802204973316770070869851371916398879016040330897382475652773796684880553689696789130275736120507650017257283464015463219779632581568391936752537443556947723387911008664459335838051345214628011414174249348601746932145747193372219463376098945418063543683719534964816288806567960656719455307126554806498972658683039420299607985078307385286890433156432681823698779469316600779047525879901767557719778586257754351146736650946600240694731764712202902121554046988550436132514998923576605820979300401245945339965752342508557812709702950502945233214106790771970933052630028048565583431312813431367878445471144276412989125942168941195159345785201610850188019630602675995583563454854424137668259482839301663417294473124736365179787702155114542788439780211442301047588243232679702988994234676689435232327412156811337718891616465326600769056481260940358558599590575929724659438789844941793610271543628588042260634470863561409095746158840632802295759303836212280791300968145948541686821332089833123465282581625377439537493636033896793232462755331130932350276304967554721845001154306551241406478707487531167688008469709912227236175692526078469024068540577426480900222413368110922142675069256594690584910208268241028106973654297912697550170721929497837725364741323255917494603041517254625072341081893163689638315503412574609375983763973668551385128822359759716742416116993142808068819757885601253138817937342419387636717660101589628065901347829396778664606255370154960865582067436023983885957995966537687866962174813925875900268138114570884523974257813926497678681005582393259722939068294497359730720866314840959805898054582276245406530325813662504906973306837952149526423194887835144535776849433842947066637743280331106722380041093981339777059647773960170950570374278738342453729281294450118152797989381238233078058077861510768481231083326234071081257120340921394667737599956438842985938788144127538244795189170750838573637471787592609440259419351123510521790310250596395478323855560945049937400636968253501959775081269226300311853460008629221427318694106643197318431127451777359267260768548719751395594356908328236462130327840857103348890714990043376467424145557380714888438684250652443444394738321270471495285641737091028106095766787988905388453721570952539948739215216504877543095545835761764496442309855279894234353027773672969610489623733917526611703665407310342581991791063220547214938281534555111402239690759465144818508223206330563012068155763873298731754892666837819527710099178942661498105804665023597062639366189608934748981419305033080397
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 27 of the certificate chain of a 3,710-digit prime (404 intermediate primes).

Certified number3,710-digit prime
Certificatedownload
Certificate chainshow step 27 of 404

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004835327256 --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":1100000004835327256},"decimal":true,"detail":2}}'