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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 #1100000009036773237 1,695 digits created 2026-08-02

Value

159338544002704273709278260351520321150428964364954945469711535977295254198006819718066026157522509510230343671111551801244520767073752684996291825556924608938994178091386672629640579294712947016255379817597712542910010657180431584263214956759854674044338129740653387080138068227832236328614069490981056278122217261545033227299719524230446312035502472759373038709809952167827159483733048150258305129660318002242728340922402803805860080234884663162825247088989268187791342976164655799600200779869337499984315767840871261433072226435703668066141513302150869424625992914680523773503338269106146749067928894175147146248453126238681638003030554334518662706782004456828752855586133780119080811002544548865042496916294967583999579767506288144977830273832552193466291307520774106193416060474351658905662336907418339849712325768991253281247659305662259650473053925293890660978468744422626715905070308732584542797478619673429561114983351840132732064436241864980072861986143878234951454546338989118851133783091438991575221872312156279711030504771869270274703552992122711658940837844844449807076786445995622412782390850127642821092621951070628485752924481619340447877131499389074834317003387207425923369421129771254366071928689856169743071904966421328960446571533965614454218091599647553468256696282635105934803910303868747278641238464436230760479845207999637078803819752233321710510195496401725341049248950402551772357953251956277069665117867939200581274853364150173642867771843182250852901648724315758691350374421844339714238859627902864876428447312964728150641275388784952976070333753810398827756605175389719015398653526436029901831427221384637857898671460856927393402917728139316164831685686132644816651
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 81 of the certificate chain of a 2,796-digit prime (201 intermediate primes).

Certified number2,796-digit prime
Certificatedownload
Certificate chainshow step 81 of 201

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009036773237 --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":1100000009036773237},"decimal":true,"detail":2}}'