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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 #1100000004879281280 2,225 digits created 2023-10-25

Value

84861226507380475779227393657150304100007586062953129258463313888036831815437236945508216741389663915380899728706872499231529312608465393864440798926677503702047354856429310048973035501256193331460086122152841040494681898558275209318864429282010045171280989688967072840433576281345973395974899654116725861841001871915494671989476198962257783992470000977383517670216011025234394814373199276579619574745519090164732046005800342537001621241506200788834676103164470938941659795068002603698921942797799158612666956898722052264623912974583104047115611472139121991072888254485577585199051028643859848777233914538761376074103521994141493719363298416647390552318118189446290595589219077577665067569650881275529396239798700239259395874737862642257508903495369153832122205181425734532517336573737594206289881785940735463293911300028639627278873808453634654970905446921713985433652607828708291169322060593544480437576333073914352253396809676571830771370887859762616416373100564172416068506051323344473266696863693627996949580722735072148663661307396572547962791468899243694432758822005608044207519922743709415906810964341998722669056502644182267726309240222554256484024195546677810438771046749123205870473757305328858080572785694536574719369958017265801134501457787003662947414319716702952624829022339909197177359129791819177797742959389889405090642100832226033180122027501030548570708148295598889259815402580570040527245337205923752708653119789692435449073165369958287515249412779380896918572893141929644887203981032304137513156637706218951621083277517634042037166103065299611139207683144987325139102129618846013707456647350455562138100857177623044403972967997039874154828918523527549622882779396368730339685553765973316751378114086976234997753159298557140644559286617334576597369515695779916380226418797759834588007081695044194443326603077995706778042289317566366881160515324836571060686024891888800884970526029792955356645172713278884080566074333361846174955732670788754404663884659956687630896302409577837653441061671584479050879848859671008984590899009375036705523281346880879823082918823265309897164892204396433717725360062818372519828092189061524778563171844942856243710716245794830231176125782911818741529682755129075051556165751
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 18 of the certificate chain of a 2,405-digit prime (313 intermediate primes).

Certified number2,405-digit prime
Certificatedownload
Certificate chainshow step 18 of 313

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004879281280 --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":1100000004879281280},"decimal":true,"detail":2}}'