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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 #1100000009031901611 2,494 digits created 2026-08-01

Value

1909119415491805235463395243934600220852618785131919773308025446796669691167638985516849423315399145053472150917192434311609355950297109491185414133738968742342189702709561997223515641541762680638716235599359593551872730594355675207080032623959128020083806767173465365193076672662407577074556919030879689098006226878773856194352609391457650452266458316469173508885078256094289499794477788246646522485635349799596174942637554780477801040568778786743223317763890451807438042957586940500123650296205071145981404851462846938377427841686687720307014829445391855261378344464127907335721274873974140149211066502310713908527023050179010103375558890676302044807433404695317937320180352443795385412445309788640291948881560153451699188561781666999094478601928975319752366466627716328311679924441587339895161485219537029197971981448429223073353294151283039010436545513888301597558101066746158017509775568487301332804405190087480514813633627252447549945541266434787034067448259846737048684692223577559673082099922492729992908137017097889708224242070977814344618601084799781413380111059604749955738698230143431158302958706512987201765662218115102974653240121606894783049869064026920346173009996500317505561017660333929963452946923468468803763135485895816064257555559109150535820655707081338848529659178899263756297314597111710207701024606363825766848301949231751581575021284982170830977082041709990579705514714195508536224403504993492377142333784466463029624249679787885303769841531674936568097443401406853209668904675562459438115841155475993393180016247617835392941039727910004724703418919822255979634024628548661302338419395877822886300267834230382525235105517808246798718735235043302233277749550875788282030875218571967161474446144678576879348066745095007137264839411974059945035825608896148289304632999342494287651404585355581999045570354300398587250357458329240467244165499473488802702361293920388828750695984388614545708010808962813033661959205802502938623507735776893925825053217320824605645038255560082305123130363095629314640510791864570318999497655018273808195091470752683842095778342575971396435607349348617401243242702547537273189886257136303531179221105225620359989529346587597968851887765302370016026115992414761198414700198055006988269318919971351006604789703285670712781309551982737552357933346459158483811685138409841126126640955110536325331824703975317011102743667348322508507101683818341980684952665528685824588169747572532401254974997021947161747359952551457737092061418717326175368318857
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 28 of the certificate chain of a 2,778-digit prime (207 intermediate primes).

Certified number2,778-digit prime
Certificatedownload
Certificate chainshow step 28 of 207

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009031901611 --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":1100000009031901611},"decimal":true,"detail":2}}'