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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 #1100000009074148315 2,069 digits created 2026-08-11

Value

36340924571682310802463629986015295768520177727720456858336936062002930167036928053507236455089645684296880604507380661222641684694608097148053971093241852018192386106019524208957751085806816130131445249147428081225643541195449839020638721892991741317870698049048803169799467513503166892510612389839680567687496851763412605773366467387902925267423398120550564155898095180297460954484418707695324916399124013649418367055831933953270965846111959474904363584947478064791282679306267426969413447935389549483139083182853580329119138406920124998693355253019508040558069492129370372434462368435149612512289831636270417433672904083325159780544401561195873038859181173672654183792497036401507479614459157967714675027601501392959489637287270073788166773038333883713435387725142550821326102105397096129305951771075361105791080736871431519457921534986593499009991597575675764372410920903384692246610306334326129604617658965785222988011573634903214193614334188987355874268027696040965547252366842535910296584893268270514995171200711830022895188032229677309118943733423909951525119359261421923628957357785222273567739988928264022204404310342816873432419273494704578337724956280274460740662507789338113400887963208362381699106138736087953495621638143304885895828962426290962422856707749593655377563208980182485836112098495052462457096137747431675600404591944036854485480537780081354391229585623509486231466213010004903191384430961143093847218643234756349021698948057543185041742995049371151344983999476728297587515181715596678930001874193532345784787253564022020289540114016991999673032975218243702709895821419620778617176121972171775806434448256054402346364562938957477803684484301048443195086529585665227688594521052259859459795169481144631640754172596948357965997106462283806459725175380168909298152080172469290251226822120628038319179956141645612851536105601003050987105084431531348049814603798913515963026823577644533644000923897332689752695047672624462500693791880642435945437220341228672768706628924013231839848667413275877741029611177121568617518215978402662666900306953171511
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 6 of the certificate chain of a 2,124-digit prime (166 intermediate primes).

Certified number2,124-digit prime
Certificatedownload
Certificate chainshow step 6 of 166

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009074148315 --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":1100000009074148315},"decimal":true,"detail":2}}'