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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 #1100000004853463385 1,880 digits created 2023-10-24

Value

89109672784244933961811289094876956956393473165193306532720771563338075398989574146669114054015047661818347457069784820329946791718744661281427141645015610342876198626582703406709078769817595310490916070348185753428363693269172238106775579005018474826845123151176957256604340652915849184868666712838078316937198587049018223339619612028166254722156659882310852052298076799837412469580638418076704173222660134155727079595161845774060711621110664711116753775162819738435655282931510505270644271588542922292657359799652135520843825769986556079898316212560427926538266120861348912416780649269402564183884272671855368896349793647923245458026627779703138206928553153842902794076527742522243005275979707405670346987868457719774295992941685978975771950128819081825330993307119585042982916940065730088473465958610713224589987838148280052115677164995936035084590286770461075316933268803375798989834223294035271195988733580993944308207807235050802434204725808362077563129799838112276207861486054899405313395068937264547831978210021815581130503470325520416338819770412162743889974162696686404204759262268581329250499561294583637902448693883277196300794980328264989434201050966418254584578321435267201613535135771461307371493410809623754080202133039714873898937149091770893319120933652359585648997617754883827982973711187795805791167228146140415816131774730490138171570476782437188148074482520166788833757032325618624729697421004381410469092566682629353799257912061615919121969354929549486448588038783546861449214301319432628542125534617218263347364886510646264787109265908300651776426583140704971186038069555195939499041194053103653914449976716998795353080522887154630874118954778543703046795769655095550911926480545441262259930757765022830127456013338500411682488332623852458063454429011169119325348618345166847918897197203616532723394283034188155831141623204121209608965589981557480436028169
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 94 of the certificate chain of a 3,128-digit prime (227 intermediate primes).

Certified number3,128-digit prime
Certificatedownload
Certificate chainshow step 94 of 227

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004853463385 --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":1100000004853463385},"decimal":true,"detail":2}}'