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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 #1100000009053385267 2,027 digits created 2026-08-07

Value

34561302762761790312254527636761577722517591398348802523009059920321613609836161168778606934677865985374179745940026019659127409644370589515930457151873882838820968607189640155803638272386821923521237584978595225424963383435966553513453150192852461499303625198172979636527006182734332873420502918729779245231662562333127407686481680203699744748767060608258797593150635784084819654670893899704081549804660188548946005995504271333438820122525436705653037226982195887639998090164672132355499492937271008420789590082093098371294835585542589931300362472549917486540534652373243813452447550390164583955570993234964029964411815972788960366509671175859226410702052936110221410516788345077327254033734258879613993556161735239144494991274377773486134267834001123250112248609355529353895434565966933071198650656554484217852349554171394357923772153261588063404796850701326993326400152325505371630944212174940993839080752353434081451736565528874294700762733356427350044663384936674837269337872946477802740945271398014088857541554400654633414409715616623219661297931904319604200547053788403353974446770366437027411258392637061070776404687538728190665587477392017139356150049546002509658803126793810303671799473446480186446454774912909224421612380008268677928111808430834304837510779538606458918579389032328599031636572315692714279909084639110044681531511785113660440956951832067138511467529050533480904133961062616294639509960954679441884849880217359739811779729042578463091373683190533190878506350364654842100462097510046425020675830130107867278440449278988219127336548794745075888888400463423480435158412872330601611435576789949183371065779386980856261880974887779499068306731750747831799148605507769074343403063056417669947018103851950576424558955667596749604955306480655624455345259836799069456084613238931794586498445189589314109710551186870792360801591097095975240087406289025260703077545743200201313010919992113534867557716644917589894419416671741042471040776128892986164056199715049499805671454875994515895689581497516417647485260491
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 39 of the certificate chain of a 2,500-digit prime (190 intermediate primes).

Certified number2,500-digit prime
Certificatedownload
Certificate chainshow step 39 of 190

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053385267 --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":1100000009053385267},"decimal":true,"detail":2}}'