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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 #1100000004828085041 2,356 digits created 2023-10-24

Value

3468445332639951519052618081143566424329362857015675249307641643339094370891211865884646968028113379042404713899811588489403892111071873052098141090161310641824952284601539724610096958476155527433582489173646009650231912865617150107395319632745580309091466551543059084276185142775558919840272075226713349035437414329740884287640909383782966599750698277331627754749364817785428119764042776439182903371373859294060546448718171537549298052975199856963343740116342062485453945433654244070583181522679493610784391226323258518855654312738428877568643585590608254594554558535625821189050448565489979079980661066550576123611562261862225166144813628291259695430980557377075838345925057471530797574078980627953281203955508461910804377460908635899258015744192331039576690497189586126157438177938762635208093282726283795627429886500004914873205043023106507173270472032550148290994163853143629932181598166612982574843893378455404488225276763083149271545639189345519352528585945975261549960665111119951647891677947184406016948081793092325447974314586012898192608209568032719764708481857173370551765620641274305795933491630434582547905472866855610604797793448449816939502001189446615007932753908118358577218413930866686967553034220286736092090595451940779702962968438255440077757392591652820896448256348886188449779614983832537099161397404036181591799534695596497602938519463002520101308691370599737934024445015096528143338621933677276720789901923329979787754326163489680807915400392846247934587155069319968652581475094081483525805042879679286974296996769313277181588089442600812846980506596244521996679577855510531562083662899129898855683766669190765076973003601985637822173608827438456651710431909382088441199592322827598660021627282046249362980564197976015652450732737694804551788555545025153913866979119216617424432147808842140639790814280942551774404876422120742033234243233110386110643956394203083662800292307214227890915813436835121407561765501574422552358827840984942791633867396383069020142143536978219919466391392659371791259675714821159846908824855404906936359560015848374283829786882426600797489937375358535520912750886317009531580323015487033808352447508813094224261591883308021433988671598624840023501545835687933275699413084125593384145965069727361550810099171634423593536671823469515251400551714686621974419808310763666214021840278542205618324916746746353
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 189 of the certificate chain of a 4,135-digit prime (452 intermediate primes).

Certified number4,135-digit prime
Certificatedownload
Certificate chainshow step 189 of 452

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004828085041 --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":1100000004828085041},"decimal":true,"detail":2}}'