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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 #1100000009104084331 2,025 digits created 2026-08-23

Value

256218647888392081446886759564704648398545897710752818257238819249199781189646472076210771222605459734878562818443877231739344635598833869493412161645140226758701389256382868498153949164122279509718030606432824049364832819118363351958331473490366111042867310414485235206430577345221907606784329584851155778255325631972432427221822323554223422217151933978722382283962758692461129720900464382296251858839088953921808241993335019471927889392098241377941392873621453296976988915277044569640732792306132357414709882150731628011057409812580811113840034442516405824941828669632490422799937767321932237283044167378604494865605143650483058339390027377731728425439424564770765095315191937766067208317591991415935112878869284233463055788109920398524864410971529787480755436496370573895556916746621626164193241631625949985805494079447366793815764796762172906736755872743518403702038984399539288172242520302212532233308985977811129995165860020722255094529439782475323989566059436451844368695234337577829680744346153992465106461402587324428352610000421188510055288681619041288358149892486907871960984917842258658373290563400276626815195127632747307166459558189911160345655489954226386230877476995465682606671460487406004381387448171382227425588806631043369042420041753657929608853825503118738116176622737430633392119425092771240724787633741445137910767429849270082412756885314369502383102681853216525492600999435190007655261833906679209513407764812329863396148688181991768338374010230252595864077442493911247357463871206515024577882774405940665044536084370591750069360713494007772421025147429662192527781418868814593176618186446254494079688119404926291229626897377524946085599149428183610861528871887363140394796169490707944540095573536520054646740267437340221357864163080999825231288358378548119251000128403420535842775980601108564331102784516665061934836171907236874398287177693181855602250044123359335712148464266113563339152075908122488795650872549073929627267500762599156672105284295955490162952791922725648634391175886606394726098331
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 73 of the certificate chain of a 2,989-digit prime (221 intermediate primes).

Certified number2,989-digit prime
Certificatedownload
Certificate chainshow step 73 of 221

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009104084331 --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":1100000009104084331},"decimal":true,"detail":2}}'