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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 #1100000004896163767 2,010 digits created 2023-10-25

Value

105868241728423865396224576630015475386335053377296965017076349749175254562315719784991934445287373904963846714970673418166262075414350104438763647760525918201389459360274430005856348689171331394191955641268765807989613881974396940927604942697257322292733351811626481731088001168267862844387071929340124625492824078277444401452975162043725871762333606732700075629186588575747556280999961350224153578615287525729671000095931218192383077846627189183486164201712765099510402252841129315971115451606065250600548859270851975231850908357319124783015833015705917036993966720896221208236527364206473461742086398248051467818307228145965372970576966931088707071919257710373783407103572962709317866286631450323029380216997171781817720187958499097527366018646498820975354826591647508821528955694814414043795809052336535337911745951877489916053060414395226758339437866415560513217593085084275779291612570669032590981817724672755313468201823876784080204316865719118324453671979745020948627349456034847045489752322858676090807987534621659669908793703961374250127931770642339963644433813171597611705729314668701728233826941953834063622413095024740576571376210263169075359293878186640285611372382687476099437496294739526323420616280912493060194704088302728323894562542464900587780869891882352688518552595941377135957736822880592057163719032495675471231640490611234850044635046700445137969624050849730244053786663417167592338792354225666575949698584460952237650251991153804184122282533759696556544538391904243389136633398784215699586470718432472786310836142845115238485087201397637615944633883472246748359790571315175037480509441440609692490994561550668078951627425873630593372103551326223757609661403143405478447279560902793160579311499405396771920064093494283136491305349338775498997599900048103173552185243296902870587992121134327426013231682984876235776666869925192695416155412562816330855875908631529640621614412400396718201759636140322064625860591791460769526050597963994828628891706383269384583088340567807637104706183953
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 15 of the certificate chain of a 2,158-digit prime (167 intermediate primes).

Certified number2,158-digit prime
Certificatedownload
Certificate chainshow step 15 of 167

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004896163767 --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":1100000004896163767},"decimal":true,"detail":2}}'