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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 #1100000008793173053 3,801 digits created 2026-05-07

Value

665975413082988212165951371646114832265444260216376935783413835182967742215121409088896807317522660794748358755414605371918504693226577208231655775695419042180913977793604786933704381914968029147992967023814672535523399601453420724222813692829669295328776354618733873815469327354042790493710265059245229408726765823808150633148788914298935096900863593010537811315830123760355914939078938174412596158861689098348764934477417098491250213336573495139934267438127473013020040826407208221247622260102928601229413718964443253603189002209169037432502636711063340982363397863503546784246931524604847835267606546530352724464647503930290603349968236064819078093018608386386283714260421557520553352246193051382077242662790105979407134878925501354049351065080574008280600190792214191103713144189077094878674575232678817589310483947976296287400341905866721592281653738398811734002663040347245265210435002367292173317540555729160268757731042486086892179072646957508661440380618278273492491049590301020281134302297566907683038139458898061231927286402532173096293945376449282992757339000450745717646352415699485759091054891432085099417570326805315814786407623744525244943776301876646897876147285727083057050465763414342888408235402942452675482434204838195775533359201378333511283227758251607413928542727852429181203617096578210294671864726225529691824336096237194450826918017518651343265655055894221028983533631951927395595000103238363304645720232132981666597606912691582407872904960773527392384728623891060911811678872914790775278380119551170061999935900122326822277999337255089912176355230528979934814314331443357319010845863598524059583862888276724616086948568133363719334237640549281818499477199316970465203110462298845036988907092709796678446829174335226429297471400780955928021420527554047723175515279710736671102997874971400100267519829881604409583591039325999578194059731489672477616617947394494546823199314895365954813931718141352663178432876416620298908597602871746382353118148571566639350600509486323253098313262920786151955904527262300625943582130334444911740283007280025643939695062645017987935655878344449878922564428201753006702772172739016111909441884897469151768700224248595439890947702778452393672877998044230851837954045192118725889851481256980682701471403620981640130423767515381397262695367713176335866659810493578715743387920703203283086478127682687660647586395334241250449251419565229324069148418696846099823908490266737439220720231424611537767784634459691582352798725103769104264271605432174549675692960324324788329537162973510411596871325487426022645647561517502370248271762840235671532695769256010005603017871998265014178655855205773833890288087451453926398915011061202870699737766122649585168451530463407653277276532355339275309709981308961972857941375303901205761849136861269848849525993304271527201660077129892597392942520191241612319558367764902198881458896957691329698081128289198089842479845981573898711887521019460748591164096486262254901225801651016634374502810373085777874186958199262468886692249698585504676710631561743857969327061006419705285878926107284049721944100376866395036552088350566408301448964247260532725882146652156141407761822692934818523369327572038646753654132737634903557394759018126932828837228953605135415105234184275259740062500222532965850476798273900705882103485297261891503078651998386427930614339467995619124661748161040485276736761394809349882037363273797838428818418851418185908385232746563964249368521185458935909919171087203067535197322134716807925111332414422815823668836118903866344437264102151245263465970376248449013289157681271013484920416250578036388982038754232693493190056889126709335035569127701409555061235646362751134839343890631460006797501021463596113259823774617610413076323435348562376834825906543352434522487779955374284502791240785161433
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 6 of the certificate chain of a 3,895-digit prime (244 intermediate primes).

Certified number3,895-digit prime
Certificatedownload
Certificate chainshow step 6 of 244

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008793173053 --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":1100000008793173053},"decimal":true,"detail":2}}'