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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 #1100000008684836513 2,195 digits created 2026-03-14

Value

40550264154933382989738148887147438513236039680429388983183216263243302121435147129138943811109408086625445103391826114257166744147235397342067354630939583524622832822607656594561059381398776517483494832608435648987037147462632264820614424680574920100735479524303522609897293034314950731481306197817251678796742710133669370499826407227591157438107764882737692200450348434834892954219068007631648311724153616917995628387431856026350416564429973157842813909952910039358455836499815720813704274104456940848025618476802090432485803296540934878111209060868655110974317569735742978458189215478179534539572040779691472949180355694023578494531048931816438668852640709158478553666701262920115987821528388569038618439172483873494092695433630218847278067534313649658869662717661169787758591053438278368800105141612385286091887862693529322220624663066507635462598347353103289138521471939257482689429024316640483639565509236474448529374998068578399756737561620764479326223211147434617890662561259360760348411907744873547006660620522790906720798508544507720040313345685848533899972101273507257380066342536241074312212415861404934368509123380654554857865153592594502209134706150753705129771176957623484912527272127637660437496978287961363805514687544513229928356626989992298125677881582312299300344480531289444526686194038689792685378536744681515711387467478219175844458945144298389076176373159492181830697827234153489412146829212000032245163521563388386348717678594530995005726369355485957273975707079510273199976294294917638322629319793246642040092870119017314643173387822566403296740045304185757679731481077593863710856568110482487492398208831162639864343196924660267553201302443066490582657888903881065852758551437613444313454646095120535933071562098787251893576252268283212575566158851932833695974010813186807797657969132600943069719878572138594845777848352501219192398081264780539088143014676422115702881185069031819800551324457001171680632089922363102986565398456827601946977998063545616961803413174157449164051772846192927367432597659253547347530959270976478777577550136148125601488252716809490471474287865488194772785141681274922539921705246524266187756443390598835352194072506812269106026808928439011
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 54 of the certificate chain of a 2,885-digit prime (223 intermediate primes).

Certified number2,885-digit prime
Certificatedownload
Certificate chainshow step 54 of 223

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008684836513 --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":1100000008684836513},"decimal":true,"detail":2}}'