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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 #1100000004853461164 3,119 digits created 2023-10-24

Value

31948085671245488455184642019651199988315615870729699050675540727092607840018197774282976215366435076144274464609988420765428498843039329883410697235241365638704149063354292451128214665590069227191541264640411069646986266356247451385363914524142775170941627854739225287639832249017716514623557348442402219582481721034754549609234962347020189375410032462505873165855706924953879483802130986897256815740350346903754924569576434761637009610635902296604604633152384493199737387435616665526100510752227856801848029990369477824032153443543915158778285659800864664929390423554675684431609164968055920932825894130232179659299584315941740896398059579072790607064965368531753351624236285331829695414804207448000593622535003447191086188064794801585872433677906189479787471594773724776450556904023663487523861751031694393596319247778033922732828197606671729033494395899795687327408117544412051553102739091459735160741725101131045526221169041918538307290541525576195638844713532743298046471194956028483237750233155894552536193576684853364732114119910411423033102804905072293714290148289241158281392884983785374334320192203374137976248070356051847070208519665584784315283604770812524094840909505937413651372334683263965988825051715991430173879767508132297630200095523177289461085436692718091432861268946982402191577047925127346801195378332497155135502204684925759705928528813676929954226835593959829767809778021856903859129456127477879973724118314431318488179255642760623479977234177650887507737415954848774232638160800408905662422440231845106769078335403923023504986406949901243516076969011733313971452524801730988512979364306172785104799160918115053191885400174714969389333248344443193262345065294053731556749999587957003351844041049813271790944578983771400424651544460823816714744362560056092330773229856914195262305658649374670959215239147033793827059722506317335814024015498507465083057815357112282750888053361813787762020547399021358678448866525202857259953701342230603534029148645274599189895579726353709981704105075692123860609141464730823108279211524180835242921535016438540817833175590539113106600754864198541699547142347430354289296753806500846106811339388606851505809657171126103291779545550929877854492123096863854698016876129351821992326700910989802870988595981087970231772164499467605359331200499624206337367900865003005866973252092105633630184542995052895082843210691380940724735423448297041900090134069596193013765286719250514868109017537257191013901097203679562249171821019432434766936967077404280599732941425303783259018372671738330876738486621367149609531767734434216995754119092683365365600836283202440683349873181670520725863210998899260264572673179060857342395711093996404382922982275166582020019102796166175384204381710482332876158605475088159590244466991348683983812542340928034172931283663179416373370745303827443724334779082340244700666729997045455041122240694271425556188735959988705790507799706930275955988513670448081582360195476576988767011165671627125788749473842024808388562356740707756205086461705186554908272428184160218331728872260378663387601046033693685784512361710873498643478967439873125358261
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 2 of the certificate chain of a 3,128-digit prime (227 intermediate primes).

Certified number3,128-digit prime
Certificatedownload
Certificate chainshow step 2 of 227

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004853461164 --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":1100000004853461164},"decimal":true,"detail":2}}'