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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 #1100000009059117940 1,981 digits created 2026-08-09

Value

3297591802658633100401018947768391997411578457649577747230279758926859874702775142265604216227816029034336223678044802198247276885920047470135550925277373276937218025745562690023554371582695260787745509151961024175405802037639146597888923300528832009740538443566348881489853066792852286550580470614725238521066083110210853085068144292391799905462693188023978242683729006697210171464177448167636001510239348200841819091861639729697566888089897988774655428166699054046274564879252438666160933305038496021431882596817935450043004136639830647873314150839803302626239091863871431846505851426025161969939697134348388880572590951054858947108534428588060016578526341880885082247400453633798874145100325964374638416346498293745213284800879213187018948937539626687660220144882374312920325183969029778667654802306543793652963903149720426232802813513769975601117559200712699752240701561033705330494819066067270340572518739470369574372974489149609620743872163124906548319128222195010501346534791550144001228700564145314838831692476498621350116679118625109230645031924656903063173101629847560019068204701001183529406835266213893388892229103538539101853626490283684329616302252069079785621581015095478813769678604207069794914224171900199395211235568263091985176364946811006975383486187594787728651591138613177457363128024356898509016275506995539492528137658689146234711523681744926556584848230421869230203703486973624093837513728475047915539965584481875452155226375499559300659851533085874527443929517097814731296347499342637619888605439518735305073550346819512915812817308735253360379703027471126953491415732408884058621510957623678243867834535927673995858981948030504086466520941518783358362432356116224863321082047085803196554112312965197395921434985399107436704096986494209374428899723975186875211851975026822128729760889175773732278804322007338864296049398838018017931828113412216238940141015175941537453846661043550578304733205908057895955425230370905432110001519848899328208231124323978747
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 33 of the certificate chain of a 2,365-digit prime (182 intermediate primes).

Certified number2,365-digit prime
Certificatedownload
Certificate chainshow step 33 of 182

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009059117940 --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":1100000009059117940},"decimal":true,"detail":2}}'