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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 #1100000009078003395 2,107 digits created 2026-08-12

Value

6849771412412533712925755515230716352293863057252279390830756392179560155699784869431788043941173611860827223477357939955560768172275275422384218760281536738267798716913010762977135605191121519545128125784234955024274251006953847549187045252830585023858451840249213262659482763917613484329855963292640832468829368348030903378438266003430098647811849746574233457765346466750372499869696198684106563165088769384220579605786507743846491356748824834436822515372763599625868695730365777144875337565235598859521694109523626204235052742152859407931824886647695707803014915231655783776023984870834271570383225204758895999206280368070285243327729163250714769456245827535405039177222107574817939411223292026764880613090912405147465979515222334086767527684355590607185248579785206055757716422138240153224332084568385674694295721111595132520988218042497744469788303358700928989703032929189584690637936058187097568661118757365284134484514477926992112601594850219285996764651118592834143576006497694557684590008193574898164108260837789161635073141225885613271737831556381147246020388650359155517435418491735349504406466150947164898222657172893263661857533705169201993659672791211392448065616728181924769796768127512990236705761114613931123707859802159972429392464828849958082329395722356443804523306259540913345376659185159118219313787335815523404603622542021567013314340771861860852285528544726544222663075150433183773926030637669286450931922129531676424517559293872392189739677822977984280237078338360346159445139638215535335006925875572462749822154380223189653180838296582359529979355292314773733456033183169048469042720368421302000624625449329220942354116816658606275039830936181541622470687891061083008020683667871639942615149975328613622636449421739024379629787210968339328978439570267317290373974541606879384616427007314677132881173559521493848380124048976068759774966097300358517875050995067838665850359934287363472311335517392513032229728058257104356527161297492690787855217509755965523385995343663154470426423222586780168872628405210774840994870605473419782644959698623116636963152878794329015033606178908403973
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 5 of the certificate chain of a 2,145-digit prime (171 intermediate primes).

Certified number2,145-digit prime
Certificatedownload
Certificate chainshow step 5 of 171

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009078003395 --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":1100000009078003395},"decimal":true,"detail":2}}'