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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 #1100000004856727308 2,754 digits created 2023-10-24

Value

128329388344299671766475061255372024468993536006806750148255499379554047480588872036560158466649405262249674499262058445868313912762164693405865660094147211355392688682901393388235856852178343833457832565344231906631835261647202140166299606516857736386881073858922766551344569746556555509196360725219827587023415803008576855360697601533086817521983116529234319467341662989572846391684245316044762107646845063774054728250171271027152524370321693167474882528457134411432797841480367708865692844727604736936196800272311181003618259582094228953406022925229140612014280461358817720046904069120382335909152680326972528712379626492338860387855344159795166251978223462821961870139987061579998996674037969430015481507189092752026226486123539099525080986005822276173936166037394720875203091697904209467399693490604309825462302853112832095845418466870165016398891953886803116417790057898431603624724726054335359486658978570798330098917006163528757939186736077587507052549876002046898884450692617884046326794073374261474004919669555385358807520220400651923744469279796272437921215699498431339832126206276044777650747528860618872615473172566320481697516029670592422419622070575879133922839004512328950038369727955066315874371857216329477066683069933743565149221507698047916778671769654852243458817622337114405270232070496254506927768420043656210191369505213551852944286712972903925551810138127350565422854140711585976201752448980092280070156462932626448397935745315993917718036375445545575663760384711306863862231434830213670565304511697632649919490925668091116831202609840867495732153120334763104880448383513227780788720651878290103501427589691236744300110440824569308698635063546406958962835585085259864239750094153874397854914422039334940082226366043659524959230232021673924717784644644725452968741774501855640817353446761363602042180132283630438840121185494135077775915489566766099349482744656110733218270108412774846516549927789337217101237843525916700442553986351580663764627783241329904163094215077445825900656649432266962929449073952348835263684680154491552484812601390936532682966520555887352181908329898750761919677601749371730061274818707647875160273475232190814054127623243539809414661427224633082018046808794626557349451331775496150742866294881052666377513959898866961747594598035115460548102147994083645044908789905907812856783043661598506624385848380019055223495395230672636643848377560852981209176678656051862790740807412827809095829847074728049782757408389495266590383370152661648916232881720490414377468054188355532493571796912359951364324075223023116296380668212835092758318632100661311492034193089051704289835890713335419484713768646421263837476801933964014355303130906599465117162909385485894062672046244808628300825350967784610731267030701687553
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 25 of the certificate chain of a 2,996-digit prime (323 intermediate primes).

Certified number2,996-digit prime
Certificatedownload
Certificate chainshow step 25 of 323

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004856727308 --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":1100000004856727308},"decimal":true,"detail":2}}'