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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 #1100000009061620639 1,667 digits created 2026-08-09

Value

12053358845323126000740801002693635183361197134223725164662095070793541992180974173294065049950197138366129660458090865542024152780003740258484566671310503566263354128458418862862658783544260726321821033250686036151376679502322565344288648123423843359069168223077103435853660045686057252572523941412082377555075525814178031892635428548605741360211247316165855873983505009435345818434586142896907441417446155143672382721541156444521343298487186275735376293166996751888338091618961386446790982355965042714762329683446025506502333051077627970547181479019508814956149072454791519889488781456397202528323804871274517119649541878426316164830793441662196997042066955558712514592358692097517323737226224583093006250661525697524894756775147566486844839721560290932003497349198119112552062241809860984157382072130338442470945541981280235513380437786712890387256717843560721700708938580405953812471496329558653997540485468752955246107003056573011508288359724522349352419988457639693930784786062117112729378870126938717891821885005050387569053923388379485878190439497958004884240295446937303111722831599228831636808630446107971235437389103865733821099793260850718159244849883595471744048207547025698028536719230189866616864106674014923166578516221898765993260784584327533417187723853586185600266811451625461361800213828803616750096913408233376572184900344375776502360264186048933518105100948435656690629241176192011600948607296429048281739533740839841232302587223797247823743873308361092229384702180201517915950556729260886407644878275746057905593610569025481287338180198520060092913768851175645624048235492565958361200264430318311318071911710001930475938318737526927693250268943
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 65 of the certificate chain of a 2,562-digit prime (190 intermediate primes).

Certified number2,562-digit prime
Certificatedownload
Certificate chainshow step 65 of 190

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009061620639 --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":1100000009061620639},"decimal":true,"detail":2}}'