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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 #1100000004863611289 2,355 digits created 2023-10-24

Value

198347447029288366078610058217424045505027943656007671542884317828984795795529909634106233027257606219985944236601528260048031581781600525745101944593470773447707715844420904635781683897425193008896086374462220157217077387715596952795491369477258635319684510368843320598046243322844625966687659531951605856150829640068526251447625338561746112965813363879637287813923381380765070870998382930123106805829543743826567745828371479125392621500136680380239985293083976094977397358869021553977799959428379254235921389366420494811476541660314758699792685163321011273744624814451865318675351375623544822981039702017879922019329430987495463926142848397354355154572302204084890897705815537342871798646620665427874135074467100547113465887459051966682734049609592964152359490760377858311761778595433433004927248381737532293965809739833748188457794526754726738760703167734122007865863418835221748520397569242938212663014273730179573738890969439831092779411643385661444183346588304292525348033496368468074991536289999926203278798099870306637428940564895903010433190449892184402444773143598713635596614979752407625532975020636199577092700201392128477645562494342709347225979744095402347226201107405052570398185398964772216221746225194282584613323437870529844168034748558002572872453530547084967989499526552289546209926479913345633593899676146266740265697482580546894139991826964829620807539583641712142563550032592419562865589158936605146677022008480995288550004636349891531924073551839766593668425848859941738589119113092875229293912253271204101710869760083856604069549561323137092253144165666078059449846134259541409806767191155557340175043185038368597948193557747825010289412791777079409842121535394792931335471885356427879339711006812578351870028193032667847583087355412586435739437822928862562186493570631881755280292217879233324960856319556295465514379760408263256594255667127299676175200260340059577716997407613806661894412347326379067623000192114086910988218758657598545516009820263459871996257887689333688018580024485953330348736096239545707101929338132531424828148081432059177604270031971860725005387586798111099127208398501764155528059121337847320707341474076483587732130977199966681950752047180317351497948064812448490742494688055986822977002726066728190138137455446557280300836618477727410468921136786479806729133272905348283616755251935612548333368663621657
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 64 of the certificate chain of a 2,842-digit prime (385 intermediate primes).

Certified number2,842-digit prime
Certificatedownload
Certificate chainshow step 64 of 385

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004863611289 --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":1100000004863611289},"decimal":true,"detail":2}}'