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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 #1100000009054507986 1,681 digits created 2026-08-07

Value

2248977107758437643988275352851483568048351811667634273457803908074393287095168080101378190856486581424965919892508840437344910042996169876254937493075378817975374658781891567130164959287867175307559102031449238591121266814008554575965643618042416156134632861722838096751145130858077050593157844343174928572324127031997729517070039499707488197787457758245313478990125586971511615500665342101354203055848500023372090077578421256723340794892494160669928302839300872347845444584943191787466510901664588611936653715442284354239093060716396099674118040036266273874206858708755767987706514102397694227732126095507443961860564407339053797430224982483437603683425003294768834239109169518643011658498456979623910391900620307528718031057405777089920465747961779935510281908989907922722340317087681528862131070527777548544325411649963474647047151478432975151762557913291784911250124475146895972829017395319974783558465029884522735138895434699587139168115476064331391320093635648985903262621449394010356533871177046196334692717059178082060926057884395440843037443893945558246350035479434250415398415104589007597497671008376099718639754219367827055234811267371680699309194033324829633146342120754589738728841663295469542665983625340801023519527235028578848812415978329805122781138127491909598442786814182034477600567903637054028594812149917626768339188380951948993922011867669640737722439826164546300805428402012021659383141081739489016826522508157197301871795235636901564154203229419171814899771266854914184601669964020950542908695259126842143419171040349672874831861717056526927409864051273292544927436212696171213361043229932258909263674591537309261393856349108977213268088200954001007901617
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 65 of the certificate chain of a 2,582-digit prime (187 intermediate primes).

Certified number2,582-digit prime
Certificatedownload
Certificate chainshow step 65 of 187

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009054507986 --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":1100000009054507986},"decimal":true,"detail":2}}'