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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 #1100000004893648565 1,698 digits created 2023-10-25

Value

797472462986585144562123621915958369715381804953601245030255181472871151773045090710534985984351839446789766476127649789236335946387155430749340884017151518610212784011530441914435901642499423532808467926559555483239990654195723138616806545163800521152994159196862917340034110162682577672724565907177022688717938012681355143206945620131450753858157987070653725024479490933121832339491346991795243304074070573417068553774603577289192546346740730064454436323388207044545995480679574986765792541676852761005426572417183819293461829899228308450116546292521431545112058124356065042026070313650700771323747815983033727115642006077505501340672693596062215996395251452684215606445892414203304530472117685306212413295056217028975509905081041726977457374498507333868957030894144573995873829513704489384447385247798150026057047997769626422892331431694232435717278904744303285172778265882880943596466732715825467785749294572960698361196430823995631419920429761275866984758366476696540017952469216652857040855641182531324335254739279657716673273128649922863605747004907552795018599321425537656446052967936078329474160854612796951217826953882293086430513561566297662290065810982664191680153301709215891012978747348581587621183451226096638861069296332698227740873173504126401096279111418958621880610119892212811789427315010769003853383722983897482099579822386682367075841198338939908298296607699920324876648883216851399937126692004049981881337378560744869225432255337272443059700134447740187322901918999047039069291065065394952848064132315534741592071197853872601880935356306545183210711632433937492520755540330372847333927015447339829099701061183704595834646143067822589155816388731903004385716069542854140365621
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 57 of the certificate chain of a 2,182-digit prime (260 intermediate primes).

Certified number2,182-digit prime
Certificatedownload
Certificate chainshow step 57 of 260

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004893648565 --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":1100000004893648565},"decimal":true,"detail":2}}'