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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 #1100000004861551738 2,241 digits created 2023-10-24

Value

553587634204447254564446554175856719509847126997052511750311028620899695918360628321925220218554479927789227218460610094725730394359507175798145369091429272929835079698416332706291755883927886969658555552253542714966775845764052966376018343856959718608482719727135282483538491888167827031586819097533436831432111922913169210879149960278531966990357538206493816431429130287266813110620295870862278057660743452673355339938502367722177224792319144464429202549422565152788042058836452968879266126564570350618567042701819063239231439749350734070412878516289846389800330154956628534170376606879754039222476308665239432782638942160540258023746521737907665253539902551007047195565172428635877874937499757954006250887308072340009169499944017792080690704773033343808164600187375534777184737385110060574607957710273501737770669978054167278348089058539639559254087077261974924228452228790660124239972201601722812792255711210400239174627059796202074486102565829173555908785169198420988567960405003110629491511501681964557196161841881525852540853234646577966319348572698353177467660425568754089367145378235962547409555020749919485420512403577185022591195456878284314064052424700674190234281423787859905760013876760280690447755457095928732712102519636061464536535654076266471016752592015495653763756538102068317423307044374052751738128285229159623748144416690410416454399680715965554498283759149087265775942340892413709555405219430133371600140037795044172063451787044302071827855250476262523586611872217230128324207866764221485466297379726597008333747419576910056940376518547046698193856462823989237490508152711307220850533104598005814010079489767686989820310227578495405514414431952378759176073610571552421135078563404635789084148939662529201610273974163501000607145205453317840784388237655285043662312416252109603414022830742301314064198734160663457542884390865272850951897262971349257935555834144609245353425756047130375253624689891047675495583857220806388451756472174327579884941758000622305777909464963581458184070060732716266348808368581298098138083734656306164560777562608053547765848905615189181346190440792203712092268791019396945463816467907278229708745650296088403135253274179130663613345311637293254132286644913037463482259139019694693033213373
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 69 of the certificate chain of a 2,911-digit prime (316 intermediate primes).

Certified number2,911-digit prime
Certificatedownload
Certificate chainshow step 69 of 316

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004861551738 --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":1100000004861551738},"decimal":true,"detail":2}}'