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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 #1100000004853462439 2,395 digits created 2023-10-24

Value

2213098363020343896378390259727610171620085790065628928903202686986409287815530403219225567589639630485755130690081384744922298662272196444767590098547312768710702928679206448880240228691270756765771181506439062822745510500568175241346114937131137348018003391829473467015903457283980918845850602171314926532241214221666211389351450364496482946587680181307255174365730387660982254824215741681075390871692724874181191132417404450402018020987448712960509293077502860842169203352334302536059884499078502683341607948090647900483169516687461688215666600506910475470318041199516527173885157652061479307613348731984834351461007323012880000684931246435359432206614458112795049598247057638447323860240359602472011245002200656694772182704641675713141643681057269132706585947687295014526265457895967284523129134839230257528366153538331883586446538879247065174619647140808256766805083272273158292682816337746241675507534425500831227824725560573213360530317716684846925139990047661511127268871001788699628490119182912369610280980927220430643922700414674368024787430687216240491342552542290404508942636901191441806915637831344612381503459168212192044591491209920188873526013951496577909499331047816249376113075590096258205417817890863204387529484293905956778765863830994926267169960416632173502148505054268429087240145305409167804250368963601478601070544040762182805781840301593770402318656225140249950537138597281053564463628344217561951390880819126626120779704114951533990138114611434422129217299867065575611721437055423008490729950904032514947670212076383841109206433406515591262829809246516760262260724301634991558860069560763708548003588930228008781236952341396895102784224351273566105693648504670525934124141156836035358786520996697851640407208972966878150868678653588096135802758395953939287669625495484044744907179946281119808738136794179410854105691767531401800051254689908498190466267086484546892224578463735319206327427845940194469900156895029832265658827888189289449234692372967563334926367999176687537332055649338726732709774860326566077706213828570163067174778955084881921300255810744152941183842912890167837596820094975297654823297597994141079623096547815230061829583100583573066649039199010907587868540071975108936239740276088840589149655624593457820281624672895302373188381292148926754733814394706090382986979920954023537277284307376303991339402173278071857402087088545937828263870447283937363
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 56 of the certificate chain of a 3,128-digit prime (227 intermediate primes).

Certified number3,128-digit prime
Certificatedownload
Certificate chainshow step 56 of 227

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004853462439 --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":1100000004853462439},"decimal":true,"detail":2}}'