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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 #1100000009123068311 2,641 digits created 2026-08-30

Value

1624034139716805160160319198335129335533657893827315908692191860492231506408806110794393145234864726772229389905538829672929235071756838349940494964824133661437017801855204181083205402261444874863245387480447205052296715064217861467739814968986460992196054569467601335768427963365531157457139237299083404468898783499855091264598917307855107288902192849922088614547548586378034388152028496386280035312570354729568403768084088610318868429968536111875639168971664961764878657833640931277657185717084151782502460371578047622293530688165266539871939983030562118747336857391325996819198967658527571416768861028481676274259242522876225632979664095459796216744042997846070200699821313938170321446486108988650646539545867369677242986396070192709915410153630870555154512887567482619219755505776330460448996151652188594128398980676140017966961737163679136321471849785819765495123013416868561613542916505853822386465321293929083870606875376675164151301296472015383714425367640311065227416153796689492453071738572961815801781169241803788747143072051501939876247990554746044858646102426196988179700463580406933154034316948822851840140001414154216438179289834404594862191230322823214779300692846018996904319790549143936573960218606359586024370570557145254649153341253800563859374818703459319721464178512581012446964715736862354346695503941762048652464159062111597970594677010343795428215585913415172126707557736994442307121340603032281378706801034951304759731863583197603055187913774486995894629527281494131072811668395018052619080136174334703366016588411892243357537635118271224966657460239515330508453515301822919415893370427292737459910598223932025182551329275630610807159738888750580129514538787440959336082535646212316921626369681627999145594122210328149602725631468448191211196325769941546135397885076282642284335131013015395806138534991544263197482057299658943982531393734248197770137992558540964645747424682141125371467553038789820541185721761342998891025169206923667060085283441410655448002010965096784468326049496407189764029512084260779607583451558818322394789690307700291357570834475091862875802628318020843509265082211435524287847475340188991999469979046532416351733592264729900116062847804391911536297348917697793128970281201084890452471311269204787946496322578165988476628835803760926543046091158012917637069027774560588443910077836936255324801131469705790014119509337870652335195313056195774062221514848728661615050528452087549516877703266323423302885146694226891189797540459460805444879188724315140659705071409517105355643093768032744000575260358971016849576131494158686430351205249373029097295385240579374024096358306059376124800637445469
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 44 of the certificate chain of a 3,057-digit prime (308 intermediate primes).

Certified number3,057-digit prime
Certificatedownload
Certificate chainshow step 44 of 308

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009123068311 --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":1100000009123068311},"decimal":true,"detail":2}}'