factordbrpc · fdb
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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 #1100000009123005008 2,183 digits created 2026-08-30

Value

18341697779373829908899397313945000329818051596343218193122379672650291671357675843802559156638332519350711400518073742801960574826568671719256050665432339077761670942584848124614642884190396730767902617575266003474146897983597861718230490381328607121698166196502748801467987619987017660187847360168130821797650154983947821420674666368606515318468510889610592898628206363383736310034413527383908854081731765551616525557929881075838685144181232109465302798517374587204514358429466985789784110356097801686254684665913098131908615625342190555644918241460259797279525998455116410626190916162575115042177500617635078940992451630133675509341398204083923675030982057419493513506501599071703304599701721092488622789654531342989336417918438996633393566717757277113290703756709916627941188444898075507625872944662208300951209122578555416324196271950610295019486251887910989953114534194196870776538939757606042007478705744451720929530530969459987402892893170683387206980521934425337318088922309506109703893841554459998736547016908530137843959034040996404051858120399559770227744554665195483927667450501802909102168199875303324630991389982442667511884772500127285633980694954985556162279005551403935783683801451615327493537323388783736341742012067865677162549920756200935243116379576812392557403780999109942271400318852593941995509755784920262937793286425510421846856176689978605006984088459893664069578685981201092557495052089174230371399386358526703307955830573072667386660051062968539259337040027435254260092402746030639394785538008595052239438222564853416817328203027976111174684913959621210445870353682492606688679347027813938904795653318319582485632961105450368286060801609353653650730458457771346003970552898495074672182749596810831045460643553706995086908689396046836316803613871746715966908152286549589901914930174797351837175566341630787414679352650540996065666626760372497010316307068144752210478254384748645845366495516495599272555166049751191518818166377174177958769905903299346827016167121700484359849124839418082782654399221787783236418586176876222654213841509561322246619264408358425455911870513145627596866944092541230957332085351009126884600102848120810287431024457721701038283
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 82 of the certificate chain of a 3,053-digit prime (315 intermediate primes).

Certified number3,053-digit prime
Certificatedownload
Certificate chainshow step 82 of 315

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009123005008 --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":1100000009123005008},"decimal":true,"detail":2}}'