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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 #1100000008753399203 2,326 digits created 2026-04-14

Value

1743778707544610773774089074511368327487747210961787624795914086243660673120716472098140314474784707419463188691181592717956281088926927210110784097943109633185837475858653104235227172759384952429385898890916008608906505022653099292921886735670225007099327114247596026905663875599655917126237475866886859180891072849688761163861957777013600761146352642600788726424233372666266419081915830489418632864429325219386769829389361469546275559300101446605139266937609621521385423839437305007546432571136049145056000023968997710181545196370298321605024424445579331623070069749941456589846365288747853267010494805751908743056701706195650122041146085996971787092285974617231619715615342751622925344850077361214665280834725636562069391083594449400339250980782677161431830489556786487927229762409976260754102260649015110404075539547276704268165473525489806168436148998234224643987030584224854145355613293225765165229175013223304331909514513376571631566275516296032352825081915096272286448712301913070132619005455312824686507698142635729698118186996637407892083360547625650155635961941161733856309699208194981780770613772346088635394124116141038366465077049321638157566088469395476580982721316757915392779298344798609799388177122637565817097570299574860482977405833065684424017117766443692247577709201487338398360000994110869034746571049665720078175617461329794929580565099854667858017772738248107814384013346396958956934407230999184742788953946546907282341408735811659473053270827448008518313847161618111294164218297707673616806118024327799327381207536148373308929237465911595740257951799718792593003396295946300379607737560339730353774354006440286261522269515385638197229651867622652151766222946926315413249142077471946501431746847198560732936517039591226215491116417003092044961831816639489036610105789811157725006004458433947642991396456579369600681291779897004848110658384298214676002826924060228021085547859522715218334141752118107229155448075129664493061636803871392567822235326640469512106378093656187506635148695969058328261566670557916810391994245221258201148363368596790102702824288583932567175002478369369300453682578690358620025059124446489391383785267418531304761485543341087307770269364302933293780635628379894722271777571989782040801291793203734004881208773221609940584151984295018230276783511549878555712783015924775592121
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 36 of the certificate chain of a 2,746-digit prime (208 intermediate primes).

Certified number2,746-digit prime
Certificatedownload
Certificate chainshow step 36 of 208

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008753399203 --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":1100000008753399203},"decimal":true,"detail":2}}'