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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 #1100000004828085477 2,203 digits created 2023-10-24

Value

2005272196673027288486449282986409563292131260413038802353879151793665360475915102674040073322747967991760747263652296621627335706050385419264550100778656686331287610542042894403767830073776488990319248770614307366921051280461660187563447172945478594728504372945906362618899758581160175285966642718303317004801605674970403999605731469870845371633418892312969919914414971502364947176582120704343045394086240554099938348227434039542573260447715597056509005019846436790405901263774878896163807303242779289848298483392355411697182353617585201228076663921680880846393240025010492049481081414859321269028826189152117954555342009436003739158274139981318619539132523058714079554691913154730013476428631116234291739726955177846018636552861167646853086005762015850763655865103121621475258854104938894892518727590580111385429924603615374036085628757176304051718283968948256544810766161593485637869342413822184101528548198656452709747218397654345645851585605066331058152876698558601656853914084718475118588376503268698554774904452275493073759696185605517730530154458442039892594162606935575833178475328772808736513605536970404264719646919047098285788164862158937215764830031130984610372214989258727626697738035714530250658685647557693008573997602801666457831199054155431320673554848669810471597514955368726265760000723016902206520665773484355000062297223390914046893833267302153096400991154330714603823512848335612243935938092735807268474620009979597315595961601147242384948447232848533768932681234658090924018649696266353728007579457827539092622406487329160069376367531812913849939300032640310575190925073202802332259544828033838531208938939992284436312228482992939512971165469586636700683861801672139941669771417570705554347950129618307505913888362671139942443467804018597862757978583386494213027571604886017570001518307148994865036772474323768517992616706202914723667937280689698057202117989421933641491963960809555056003731628162152453636810518581041819085068747868644745322226373973169631423223345670857427593197808827608902039429217340258225365121223668799421189509231968308339923025042692015391628418788700950715006626842988948099664765814397576118452246494547697101513512868185946322709124632245212130186613
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 206 of the certificate chain of a 4,135-digit prime (452 intermediate primes).

Certified number4,135-digit prime
Certificatedownload
Certificate chainshow step 206 of 452

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004828085477 --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":1100000004828085477},"decimal":true,"detail":2}}'