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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 #1100000004861551914 2,175 digits created 2023-10-24

Value

128966942378880545751525438719170336607572717595185974011781326246569673583291101537539949064153625960951474514620067610482300932360983236162180268388640265409877030107118560266326542747926634509329824635781298354877601924271250345768348914092574985514032958307588987873043538110136778257769252539148058787518034421837386167753134403997959372976538253462951269589917876340906670445812087686026190443445008479340098620225034415459266630602936261734466269682551158925659701880060360171229169033535768973138122437129920963008332939220514669692346989535794085557561578584913670879556278500470122054128929105140193448734480926837791110392962742894940875345422501023352324811744348663614270869601625415744429420427767559755740997348187442345693117587462489123045517296443950958205411184176206602497947069206698010498213996776286502469946287814321564361979073877662752010647574744198589088753707929624527372471579597092476939181151638192145896136094810065762345594757012141211453154167845181319200450328685610630276295646337460353523688620217950891625552391608551119810017161582621760000599687752549889852460400066048783104682791335721743204735419139036627460234899346111092924596239704707826231490827588255653104094489417104205223555375014583965433373328603229891168373746332622718626205439851779379398907203881147910928607854829205671009962167065425338690094995803867227447625076776963420032155203314862025081432701208811129947517103001368871019967864623703894320494982370371170617454300531599298054966872572364321165352513537233732522706482689973435086650416227306407472474129216712276016934888509506178261459309977295277015454304872532014965067071594275628885839161182452482885370073940753838204473424763006824544871987138802236347898509663080329470922671877316891927351606689803200137359316881869557440678208623996554013079507266454497342255149716150766525142576914841388144126004104820113655966051877961737657791941334792265144140783813626816556754357660770888960095575015074067699574312226657075492099159363454712043656747547393527327320361931545127300113625506591281622793018774440225950237704752651303883894141868462595328993704610166648626602321729477636425640920622435903
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 77 of the certificate chain of a 2,911-digit prime (316 intermediate primes).

Certified number2,911-digit prime
Certificatedownload
Certificate chainshow step 77 of 316

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004861551914 --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":1100000004861551914},"decimal":true,"detail":2}}'