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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 #1100000009033139178 2,097 digits created 2026-08-01

Value

185497070911686292944092580036032705513506057209199266729694164526166285611235479210566480438783801393991912932169632885635438969955028032298826835309038243012539468509606269958913086782802459664736855939357336133953182316434330878027088382007907411125942406627459603842638615177243927069542340288201957753859294080618780439103838582865523302346934013455777370534666196134480831719852361698137713119105728211023890891807222977957070935752941497823879065697357210847906751645432744811814857811271045979921409364388403659991291517344680465154633500242195683578353806670708064912075646513912169662459629649650775157481141604109349357958251233682402444321506906877774027190875729234483549473042427563316355382968098243964986929288715719779063500470161891878273007522183963036523138157411884543580950853672327390877664543427494888696159285923422757451609173480073381345562848806386011336185473450534376699811502822026656678069585795091093542730961737937842482949761382730490978912472755935981035502695678334097567302447511691495540744436612051434374020998635836861112741386990008127103839258235183129190042272881752040253749313622069306735057232665803226491701447287354904609082664320237492830584011343642068566903788910828184299656726897591159949720360301085323225792076249358128617784932560676049392434714472788990384894619270313625669368013422729730597454805158068108152614887829280484670491921417028623028523922968710388825498573715494939574768306774795933182837496421012894741898387100212011015887192735202373503609049285312840395707881665119203588566388291732599927427634910533429654944560471001147107950684838632579368641104085394557583783817289382190748702044009320425279766643861540912167921034617308291628649188672647158038472766978543969443607516283430994559472328425267730966640262764522600396197243656186076135567667977946948386263539594513222315407437622726427212857505600947885091836153654506729407021237652093457266132946756864216536571076283805069553605149251559926716770583518417989079679834719741549495198437373457430158416403394256679214402087672406011934613252245296861198714078561
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 52 of the certificate chain of a 2,783-digit prime (211 intermediate primes).

Certified number2,783-digit prime
Certificatedownload
Certificate chainshow step 52 of 211

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009033139178 --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":1100000009033139178},"decimal":true,"detail":2}}'