factordbrpc · fdb
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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 #1100000009071032517 2,023 digits created 2026-08-10

Value

8201483934720633704658561792863088603652684301318230267053416486969589046060244687819173450350601147399972642604668287045959871825495534821227084828303974451656333743013626530198407407132380363683194344924948101044859647082309373437369121997310821050340823464644920007669930007893494172731777352632228653333958626715634116763038986034142207199516286713674311760327835756204559267067949537708840734065554121314080393040357496979023158925875790218699935563701270344940962446376652275240532046738957243695433166099810077199715133361487046997348552153452468077666704252500239281798967714105334525001376767378969899748628944265751134938484807002306221240144240356630217390555313208580681710796911316371727359863896400331869303528533150103227431507856561973753002927895025813641502618924933597477269893875265925180779699331443233632963715929577074107943024174118693460219635516351845966972368415478324477914904841882036221876156377428232954403884936119306476361026881690378338088863180598249920484113124386560596487635078512242284490903844227128466448022887290025102284640976664892256299647079361911806998683900261626712552570820429448537741390454255273229316871614663366843783170261951000736594431186265818213734358035409683034865587828429145990532553560761437021094007839781348739642584130291554393870665714390326364667171656236555931125208112320327011734667997512581670290001297224253245984754252016797807846949674274309901859556377166318164499581232549079165610447164104592063967942149335177437811741025254458383773471391298406504173573798922079043471529036144961544745625865152247861811785569240628328617493400551857669509736549015532526566997949856344964968062626254185409039856137687108330795502082961800663679868302856841101684020948445282804970903681470142559660505546778297094471006664850602171247582533333606274795372100231277873004468729601560769288410714012654879840067704309190709136249967083640670901836750234336340658044972454619831535295244888037708857158646613115421659230979093916816903103671422672610735899643
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 6 of the certificate chain of a 2,109-digit prime (159 intermediate primes).

Certified number2,109-digit prime
Certificatedownload
Certificate chainshow step 6 of 159

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009071032517 --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":1100000009071032517},"decimal":true,"detail":2}}'