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 #1100000009102093451 2,176 digits created 2026-08-22

Value

3547075727826701444142222112311617112156682753061574829193659753164269238788468906504255578864467139354317726364884039234092203654044998574353659225175303708280184760806152370635243692295919131139216754651183057666206583606927622273171821596512578634749532858199423319256581137628008711878539498236439071494831043892876591882585662704295130243912649948669309715437513349922112789745416994837283738306735280422725785848621772736957473830943543840428467856232074344501077507888644388670915500851505782361193597147572835368114810556235602034889694722293068272234740276567288829429745071282018387391711462419741915326247452231987692773440362071720090158874797813933427989894003493968372058776870273873816738396438714691153658048887904774034777160659639617382035941608370184540716732402819169693836630524357232714494926961195493285316800710584465812416169361527476458908142048680667814734471708154032454223054659141852955433931854902262952707048289603500638615485447585560574573010353731880109693037746764191582276063958470611087103632016442029063842265680627421939218134776502046931455038258651978183720498309412570135653975485413917417023004158557269347770694423744058388287899081337406022593151697836619682107338812537593289914654493463438046020886591595015139030692731471952181612516023453216369483921394681256046869562403784002503621881110500558257578156891593668227170773651708998825830755034667607641971460323317723808416570378964688975270428580648941389829605906765250928949578897862182631695184748635270822373291077578871787167730466942989120622812780671557205955097446379890803006674038345502502221786076966978147127453009153382638603081023541624934670187867449120047940601432972529506527457984055132837633045461525998616014141085853352631542261584208754618102110549049503700919830914860342494409298586510828658507816212802025275961521115603199455161312700277222187336615332485100547420341306892405347609587462676794219108233675472787761477044127248321972025311246403075879185874847065803232799333735953412772169359877342513734382808606378690685011578560048209357491329965501834201933494166614200226400574575659412051560450012246256458995781667939581215589272457213226407
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 61 of the certificate chain of a 2,979-digit prime (214 intermediate primes).

Certified number2,979-digit prime
Certificatedownload
Certificate chainshow step 61 of 214

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009102093451 --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":1100000009102093451},"decimal":true,"detail":2}}'