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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 #1100000004895988954 1,971 digits created 2023-10-25

Value

113753715404181256604717939063851067261059024861879083547852312128955859501608212850541505052591868837142888631335395924290428289221193834267523478606914265054679292832822719745185034067740533423883390513263415032930485076336069937839856173893815893172300081360492054555936048551586360997471170016055854010744720160092751225380552310507556510909523151115845816079241807057921340608129799760202563719568036745391513621359643099621598904391812565270724591131423454704179082017496134715497252753762421682671841593030801693074027732950395370283534667829143190401447051236590907362076884485852264297301111185154227824522380091532479082206174337710860394645115025692372976112265575363184027230754396553523466234376135441404657277626617041447991997553682440691755749018972456316835754473540878639854153618182344995980496983315160171787957158101333330646789257710815253816697098907021264477052133371765856316759963965647254239548631935963726029332128689416261692781641337732276666993589077874791916039077864999661022985683738736804388396773368366689221965268447986534795562214762534864046333300429882672105778174630616011893480084114160945402517100861910775303742517943156462753380633671119129457677794394619840836585001922195614671592852612820075822166377769109167253185240291070655986889192832073055095918826985625854348264472699392845836619157521026639432806542839669352990546731933689706510075857730818018050597561579003813484244543198728954785140817226027141992432703958720057716853154695371882266873832666019992639634253553724097190883791461831660360445153132320693037546283596476585799942456895973766162126123870199496154778579703430415983710740939999131958778592581777852525432782884200068004003831429759532405296224030532079512946923952559511283881241218618735921432000261213011238003701703260462268448286126812447909452581494551174354730716816475218035937407585916153319133402777670515507934214941598460140607398840631910626802485265823853296819403836375580181853210323
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 16 of the certificate chain of a 2,157-digit prime (172 intermediate primes).

Certified number2,157-digit prime
Certificatedownload
Certificate chainshow step 16 of 172

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004895988954 --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":1100000004895988954},"decimal":true,"detail":2}}'