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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 #1100000008549030916 2,018 digits created 2025-11-28

Value

51476848196926388154816551625675440062056387293493055822232600883234386320928493030162806468021222876195057158534287920030118303616753383190275368091354778147298945179830701718027614836083440816075054547833656509684124840439659493045426864289299261868462318341021833456027935366022300866072689054181946788736065405998334942317134985334569479640621917760578004906226078746726673035451026988625911188866745906738381167087789915898385419089071892064344339066597490710286993931827241641181976365135955775740725446448708648051097115042648345138290478088840679707316201323581422146161215152639987499432809495268808249647035195668713210477764626620615596668501667644849486076973531219242964714518826903849329871424410101929595574305480504883802466331013276181810903358437012709430164480472194533954857540638927819917153473708906561559042690669322009591776692971495017362142553432072828410176610618830646824833337601933355647679087808636461705038209730855571509956329545048530583953485648081329544594802428727412752456756507656470456840770861979293464690550765633648588008884762501582440428801535650383627882735747904576351018839049328165743101190589903925256694286810441533337500484732866431249644616117338041204937485902552329865992272876168767206426558349240923266290778344195592562930616144815276720600621382988940428859482413631469910706747160493862085526765857131010310844472582387858543723533222514467406307360585396285603316169970555665526038914468643614881488150644084919277906123070878293537136674360250962919933969535593919197960777037191886371338732071336061972795003346923465527152445172517103717141096585057059266647374498989675712621931574828774110307742311433422530418872426118394188570097385128983202411358153419623927763787131492464903208415804150984092364360290639414711966372836132796153203200836446238031094536501188549337648326257679776545767625326955175042982811976504375427999409645082548407539837881794418238416604205662764247692334092299714594812806828078127245765365317714845429435637401237881025953
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 4 of the certificate chain of a 2,044-digit prime (211 intermediate primes).

Certified number2,044-digit prime
Certificatedownload
Certificate chainshow step 4 of 211

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008549030916 --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":1100000008549030916},"decimal":true,"detail":2}}'