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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 #1100000009127305078 1,628 digits created 2026-09-01

Value

22365506505375564636454140677512911177594417958413283116063568448968004973504704031566331442994492581792973755893455726633890836998504219321028711571982573425076632497748051571714625964428732052423200660088175123345443428687540249357883076677258270758508977596135728974888947509043973368570132832196902919571339402589966395755870056340938633334156764822691870201977162091897785083532572582891033283951957055877416637353743366695254531625087591523102947526679997592915342838188547779619992591268643414475412640636142557539038361227853010849118561326087006551081636871024948338759227447537363213730008803591940837380570659924778967788190791713905834603194883820186654025502818438748411404485398053491632260588239827571240112693441754153383342407035513728399728264976543793583975055451277838387662801610993133597858233982871792329019659299964729642095431552288361575893137248125469277719251223316219899709888744878506401688925695886217303337225576299545282524196424139795487131057543457157752358586937789561679514756068857417543614955491352611242600249770456668063474833341581820986848813356431451542659819602372203349174548543334047777744547685812650748752017841341957784172874105170486589895866395006951566993762021084146855702046184597468831382648765493007611900946832690538471157078239467751461674231991041683106623175663192584836750041406554858992041831525480151919659774605206430708635796437770190718285669326908295272766353303012974010117505002284615959194569596034565471081241330733377888690994450284162243738150919791981081647041588353059167809126748309001680720465953614832786891832945628656252235668500921081873884790541
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 147 of the certificate chain of a 3,105-digit prime (328 intermediate primes).

Certified number3,105-digit prime
Certificatedownload
Certificate chainshow step 147 of 328

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009127305078 --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":1100000009127305078},"decimal":true,"detail":2}}'