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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 #1100000004871913223 2,088 digits created 2023-10-25

Value

258746061467704769624939162407812460562715320429687389815997565584808855316094552229399203984923920778093423520832336310515579196715539006165175403140190874308284883842883791832705588701862712823999290835157918471062145199254235651982165730051903514541968037088681248906045018982765010029441178419378594339421535670400631302857126052885291174972024161933573065661150669322351388955724676744861487438657904476145036983703023909832209971834770141996678389691440439386878862395259520481069555228428927605618092194179977560833274765709917812132733073787459318732710320098701318659322110146937505928745715961629554186359177029201973074990202341698440857238378905029281526048141695117071462008136392348029393269349555811592245128639409503259308322999771095878206464778539620679059470068891953746795607860844250427594506753440356380292591739923961042709318195906775595727419546526052888065183742810826607812582280511809264139514132047554187219600167879677741006489487084303511089932104087731088971135367612582676175479533325353783838512464741754370809035000022798720734829047394722936141233635334115211827838478197607991361184036337193908384207158980955461519353100536732695539421438004416220237724860356204139337138765720830100652469849904754605858715122710827051171324346929543470476690992380841508719843947729191807312005179236538900908475474658972498194599272124920366898982264109461705041992957714796397104409537615706031181789173412088914578795007885466595956869024342646461725138908303002522298789497872223973148524521037797777710955559738959317574340518370548780444748528600990425867230782589551033431527945554949674580690862254333666116356238011531006957071699475885747780135206863460435239864990328875533160892548806074875218015899551914351980072369152780423302238595241608913499331223150544280284607268973284355926620184600820128205212071612958749026990156961500313658707386749696160714711483249654472627990420770553874511568070477435402680398851404412247992292063730638042746421827325872287254571114657698057430632846477656006787838099183097571848273202405961457520697161167587653241
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 57 of the certificate chain of a 2,588-digit prime (350 intermediate primes).

Certified number2,588-digit prime
Certificatedownload
Certificate chainshow step 57 of 350

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004871913223 --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":1100000004871913223},"decimal":true,"detail":2}}'