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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 #1100000009123228171 2,093 digits created 2026-08-30

Value

46748349680622719862917206631194413368888811423008778526827097907978026880502323376481965974371147751318969483604358245460234383765062461566977776418195110531495879312697460463170459057475700168811369184226550753629229627717947836803766278823612052886668087866760532543171168313210098380895652291849131799938795856391609277623235527785383241375289370563282089696565679566200227245906824922918641638264487018618036352658185612840233452353592799822013262297617043698972824960488957528771088509916348124093141671346146450397324272751431586437740847967839006874789884419589401555214239220718013664153990242480662861350286028826788577142923065505563958292894896551473529908715273768612477540094319147469080230317971584912057036628283930576183005276308513367738988494719067218104864048632656370197169098689582584139433704383600192079208145551848368367735782237296814369259677063940607873753762189473985872709897864261329018714422355958553572949223563235270200531718557977449278415823862174923071539879605225592383792226128142716818295400221511587109687200111650547511381815610821671114737991132185088938963071626015546512389393159641628960366189335166411402390358029701304945552041435442060592836695371773586880004214641637377452040135452059221773461067468031790757777874085030641635977516348211500446622452139176724885865565599658973883614704828158460912927236593780052973473954196691484930405102486683210438796709563210331389992860221978547180804240855969459335723708130337618730242111333547531690586937711138900765936653250603740274789054898572721482124134582761877159943976461614726109943234418584150579338079537894141788066901691758970865211312591197339975390235970933611197789079787327548621171025214233852841566311455232999478184154745272594062128422365514658300524201296914345073782788040258499444242651151075001310916062564295771829847340195431526109414072327203479494516695722786386751662073074607692392580407900379649220309372280525550836093763463840069374034843459215280807810842866906043726112360788122950139058454194564794197950222121008846663524839869942005970970923954481254368900271
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 92 of the certificate chain of a 3,079-digit prime (311 intermediate primes).

Certified number3,079-digit prime
Certificatedownload
Certificate chainshow step 92 of 311

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009123228171 --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":1100000009123228171},"decimal":true,"detail":2}}'