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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 #1100000009069116112 1,563 digits created 2026-08-10

Value

145255207400225063924026860271293151273033063532752569090402715970565067528134119012246304713207303232969254479961799251011922120169471503999549889452039139460994453243237921982277091874993372180673712210379659834382932700139160655163960782784222716039034847684033670098935763736518023152495776271018785482047638971134723734010664233407015483269143635681406281729220000636073293641289973344308078024974958945678909332411305172075701371173763261090245637782963317816592763730322768451859214791047845783503975261818108994692269104785703750182527919344359888805281055433239799967720216926385769555842166821598866056779505903480962598715453092525874831058304541900401784179450270998652079462256354321886591517573959049535381886241306232928324565219179926610550853573416855194625730627424450672560087984305730922393682996978259831208678786332609961584169913702656182604317622391075485263642334009942003269149940391492086827604637410349942513758692560875775148758665147019726836935994249304857484138496958164197434077787462765318274679768054891197789799976078409720920436618583656611445086161730180771568608738029955788232776202748620705313201962521555388201084568737301345126864130846531596944437863674267454332273463816259373127060717358851841623287333155301907517356049119004482891060043886062560194279075653240424178276091465959203453643171016669337097052248933097170890353093210429733453909467300627639780787333802882391858469309059745430116978355250116126005889578907094944417056056485556331581837183910825664387694024931466712225674814909195167690665522186481867
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 39 of the certificate chain of a 2,001-digit prime (152 intermediate primes).

Certified number2,001-digit prime
Certificatedownload
Certificate chainshow step 39 of 152

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009069116112 --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":1100000009069116112},"decimal":true,"detail":2}}'