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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 #1100000005813194113 3,303 digits created 2024-01-27

Value

259441726230623936035360269051390094229742239411588420826492543399956218200059135756439087368175246756138946456503627789656463497141776006192951739340650334527529129722717950099160158086528897004615395726888204102857937188232749076562907711435049392828179176989445539083052511185116090272073015357403997828965588642202622112298040088217797412325116489504203585045284828600798999500235852322804294975112661565998773787201506486880532531260522651749808722800087947587537328372094769714222048036321085414745427400720180380032085536045698956848656362150815646654376708448638446137058059696003758802096452691012501949280991274891327221520345616242843213175210928461262063162526007186047513029861832017841467539946442298734920184935873652819168010016491466617677496290910335170908509340609954046400996084378669595173590818983865303055726982541891352749030244645283828413897310083024912350531665671732707808531875415949291293193244464349828918703895607677032445124960411813608809807074941976162970270066143659279125014532725384598599403461605405250753326824609452976156476255744060640956461833863864853270555511796496303776808045833623767647736263943116177496501970660439838610771822261241629616863482175776765501846004364701678239914557814473689474399382743891636633080166273953469770777129110546564573379567994977721169486464698218851449304541120842590522288768006598986183572842643894804828767252732031296819148796474263956407563333474872364420569477971605527010287447997614207055526386672844939116110525796606084229850150514141792278138091535185284094715758436390859181239891965064011073701871415395547662749170166885436403695295001399916927402805768688493996766017198094303825192484993896592254346633660874318098705159477818697325921427835117176898405086185930186803606719320770682050725409714653470923259414471601699725279225562730282211198155983856903645698346482853578668979824627739467338191419062970440685561418010500086849440878079595459114622732885450468098447086822296380617947594479377188418392316349283356822549974954392383919122520273500144720836841357924439800351815656887285700041545715937369695976616379506374280854614185262518836640788104949851157074468222394245197163196041174852655493959655058818748217205366796192499846637428928453320503270718727783638086942128233642446102740736172330627185510554961618496052192211593543532206510174220442807005279833713179837478309932516248899665342686931550612790625699481571280403249711728646166737190491606145917789224360447521082578942828297305386441677659371341547454229071815764685525511869700299333850394735097843585107946477467237015030434058621711888938676771149686090778085354801366233429840279971251369550053665806814816169698118254046599986652353474817747475030036574124924802002485937089588584341896070899237898937304608698683052897393001704255214694155606472824356605697650543453208969784190134877953250893733046270744587147445541735954584568779777449186522823401623566967145129659918018068455233141843536831128826710629643446819154644139345518635877516905283900295797169988068582328016725868035026716860875329245782586998764249393318382808656004525727872807587785874045077586205091932254149165485403465911445861493550007238464721739411319925353286967349009944295648115149074906903517880348245081070040776608832547761102949268683599551937
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 31 of the certificate chain of a 3,764-digit prime (196 intermediate primes).

Certified number3,764-digit prime
Certificatedownload
Certificate chainshow step 31 of 196

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005813194113 --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":1100000005813194113},"decimal":true,"detail":2}}'