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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 #1100000004888858124 2,084 digits created 2023-10-25

Value

41389965058931434404675345276311642048763508440010327666051657172578210638384331475544976412367246784437747018862862374148125747018674951560215778949060946358456774199976601805395776226917020332807227656588646148068411523803097791449266291381847481223539159738224359909069188010915062239966599658200652504479502517243338261915661616889991990218363661584391373552056319774248289235438662313920976038888080265052733623132947578764918712977542886061321496386685913759800082418671739610583682687044325499911414412241688689203374987242498253200811304462595408703179740286563989552105890319070854020804456251245512340830117168885562646669818448826916309216896415783196306605398915399057209679609021355863549397757243456084973464928235951856910510953809326361681258818080044807734545013854914888959265378555613684499657140206212800161096831439142135330385347802580981851372644415008404115592034943482634010479763741373381201274080540417822209711567080572599294696148696259847714820636620449469276386950365699172810447765780395628907780567546423688785765161518197133183216162277108395990899666739301539688691399282737068618878193925296342110165034525028671459821846074262340439388059621372444178280023543409700748585883925825996925946320744089177497494017939553295335462146098515737595830868350061310573512385050766662400245316113681265459167289237730437541774188094298957377248976346294067503691211168346440865503193546196026987070347013101491030884056660153368250888657132113624135041150399428821717321907470023351578021264288347723962966598166170477446389230138423745708385992655013775828916267601657667551199700789618099622627636880022883090408559788174985732774659302224958213768230089456918680731263178232527433256253777680478855656545599956686391910443758206211498763894687494201985705287358707132702739025254434092150830462519749416607566306986249243861716836429566212195553067166908311432768435966634064938875775379640222613985197791603301277020133381630843206077434344744479906212660468995516238847302808360857935757154125642051138591016724378390258189650427662997148278671744145557
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 23 of the certificate chain of a 2,270-digit prime (261 intermediate primes).

Certified number2,270-digit prime
Certificatedownload
Certificate chainshow step 23 of 261

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004888858124 --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":1100000004888858124},"decimal":true,"detail":2}}'