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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 #1100000009123068410 2,384 digits created 2026-08-30

Value

47101626644545117474060499274348021795752618623829337749941892420572461583584569165982574628416810777655803290248823662699889002802864067626255942211266738291163894769496619566633869055305981300024748200889294648333159891654062904799235824708862285268291076622238746646214374563866105757940433265474005143957845736299007015643363071230417077914262092178478985483841512485656376533053231702913703554754105482098432182986112474434346708926639619623859304697045508400901270293262808070201947798211980561654321887337455119885797722358206609611557697501627717467665460528029725608177104934181586300996087253602401735997154539749788309879757816223860289540646508096706460434260149151487178787072156877035526806148731509079051483055414425398857463304654438033645456202932130026133770662960328982712950043859299289173231619951142915185490415451430387557047489089291290938207456183813223391705134232168611642378713502183204641423898254478676831409206201025662955925456333653785671136291391108833510199499622800812423932305405915490527220898719351874888214693383676774766301517001602101467720638294953648447910025280449769801840860373128205490018937740412300151933141305717220784031615960556176654473777523018356616369929120264569864611915046888970136750566399803699441532901277757872037812900572061860879364210760815937118865082956769002929893050901998501673733950127092245611855149188377790868273804619618438469273626220453943174625733461915019149336034331842958359050149800781895428404660639693460294418399191774452707355651296192592442508630286702596639903752225148269474154288497666882643553800178181545320578534693069083535611187914806615203146710141567815558979520821629613408822971433171964314633347192102550040562618021205816398670321772664684174525910925482215065921320956107744514347112821117099643761376151031489780474949877229703044947854214583564246304378226924595679536608039809863721209458486384904505837915219768168243370081647896422121997466833583323636803129283974603953806930202459043943342521698293098902943465225504664490525422325366573243965840773634957040180461734122911364832583489804475709601824831127276074257873549855417237341844184396011849847461726305451940038046923100081114474701906279255578809718813544145444707216383707743418905133497453249512475217089370982420221035173672765108278851678740385316543664568609124922644090353972234633642263940237755211879631657
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 70 of the certificate chain of a 3,057-digit prime (308 intermediate primes).

Certified number3,057-digit prime
Certificatedownload
Certificate chainshow step 70 of 308

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009123068410 --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":1100000009123068410},"decimal":true,"detail":2}}'