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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 #1100000005814643374 3,713 digits created 2024-01-27

Value

22012075623329643290275691652702999997691447901934861437081666396589135584003772997311195833884524520041314604734968519205521679250053664482706676885226993597177876308069537833993927779348864135829275499568642517254936483466450416424095836077535329912555735959102195938507940238528448123015985679048012452459403142480272590585985497657859381868580392338964451870201085553939174726961490640552352865645513296644749556732183207227789242430488798863765780574346158714217486623260933736086452352000458481084057619316299655442341113876432225219943450009285318471573537421294066861528110337849308734214767854304034727393473476378297450493263008116520325149405550439037294580479790344420758285986195530747218604492662541544451731557610464051844625048522493302337139045026998932514674325469854650290740631945004617643808888327465264134742176148597965873943291418018447055143477597456842825790722500056713706715217147255992463015754577922008373495765863295715538691668096279685791030777721155628709185454514412073039336603069560571077203220514439700389205721172688979694339446196199855602297353230724428814068932994365292365857000980590990233767090434951293660224552143429917001190474685525927010241698126796039864913902305786849617217810613348968846610664609856351783546334542007192378373109903920319009499910624966749089798849896858407782783174054410623002106557383776277101492862337785048161749322099942479269443565110697175863529425388044228930933613199482300718380418861203357536177815313443451153010854913119029360140536008458748427854418032990086481295495583832715692977890015884922375230952743476424610048667084955389592197418525344568802736561902630866008363869388283136130581065309536759469495183460152563568741139887733154898263405143773654702831264999257413235693053257111866713444894971390885249684326361190168961030817024078243343620811584541628578588686370962409284741543846671720223458855534738548165844765396116220182289877734189306222400505468005109683426102211244715764123715248184254248351178977950258703896000048804631483905084676731833578893507009082521622278260307177269309953280498301814725993446673199623807970592171802410285208570030724086940689029244444844955142792537097457137948060938337178481726085277184198804726020317920543316999626104291008638742343370708441132728031876759944545381354871162998011706055819574662708764454375626959607922312172203377818454703148936595799050617556720104628038466508234679334006435739511817949453001173314155887013059608538142439933384320416114180364067724737172084308724270235684553624274652451261276155726092801190564327526872647653648950766633060738248086908188936580998200238926674343889253814473473221567991904441190986172237630026828954962684579621159380912904403606893089465304909546031310712617026081457752958682692195382096721966764816660164953055743233562211274681146247003350535800661075523761838438300441958962831110465978667378247052902072364161610609870985292196512265697587764937130568170981561127293070761328013032685552062158099472256159862127983944693003313936205089783338586189122229510134641322959399851168032565609874532703236688529808450793787139787833611092772429429513778693422559493250798862277449063560132803309702165327717105152596046229149979632113293151247747377872385945151791780099836951052445250068272867783484828629120956680497050563666633999784000523589704851545990021947577727104131065623267012104191602735496180350923457045641241279905061489000260071393832985281249097266455034324650750523666088316202883149209371295677865184106854474691610221416739460232193191648975241818685686676148334202596147308741168607249404312844823162775332148661051751957502629140129747767461247512826051288015735450207139468278514178317711749441
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 48 of the certificate chain of a 4,367-digit prime (247 intermediate primes).

Certified number4,367-digit prime
Certificatedownload
Certificate chainshow step 48 of 247

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005814643374 --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":1100000005814643374},"decimal":true,"detail":2}}'