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 #1100000008823081605 2,315 digits created 2026-05-23

Value

71837920383088214547276743091735314164061260640775060089067048022492807436777348642925316073558150019057874876522960612031948423060372483368766542536668930259945417979324328725884427361448923489798510577357488047779310772861365161812281523511574910778115295673618639673401290476441234610278892243240805152970762288965112444915598978385933136705591533229532438185698153684610890938684090835331375933350072038601969309608104254926132719453108657010153285366321696483416105130974171763085931391426158743241100128199495693949096615532679719680547052851725967580124458040086459857907983185181883616311659714347406788866109598762411484752626845183907489933823069169685635360990993482166777981333515515165293340923490625399517922884594347581380856020836821277799205494224623203768512006823582318214284926557713478491782610911192028925513721775867431731483169553762457040120714721465673011733965594421762743657623488301332978734853685192637243593731437311204049690031090924526592168857615553707634420913259075738330219956398142390738006854337820138335009102558507734762819167170087227322189456031724389428303214372673064699960446345958601758754352931341046000447152122512324309004749731677393150632928450857528125750603889112438431309532517526172926150385751419694473898334628747828389975809919125709381427189617430132429964999663582179477039528468671441426169541378977483091556889394488039383758378810242770595490514728985969526055452885043822786559419649929225516796907463827093773717590798871353298916831165321375348120871076030271541862031095914445465682996070850357351237921233326890273380313649650933703246644498512521019059709216725839070253369468556305044610122646613453708007975056304272407725308414642180543918724469744007875367949391170952746732965943769181104911455502810900185373420173042288850459162930155085423164084955452854367922646969944212293482855453872857968918855168191966797499479331520382498682159971332304459156934239070096177130171550736425698815927683417348678206672653720470526076212430143710240582939703093967194948258405771994866754268662040923226439396376988621787744115471616497538057080753586358955315895400579755705775579023472964602408611026818336250977371932660070004888412230628266916856419256862929060432363046598236360346257296422164199773129671677206012478888824567386435396124051567
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 56 of the certificate chain of a 3,169-digit prime (197 intermediate primes).

Certified number3,169-digit prime
Certificatedownload
Certificate chainshow step 56 of 197

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008823081605 --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":1100000008823081605},"decimal":true,"detail":2}}'