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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 #1100000009030655654 1,944 digits created 2026-08-01

Value

100300019754520239731742524273819349402587211571398933012321548471774280043250715220540547217580852458016665913562757122318462935952548500498110515717543277359024959285402672211263887890003122044105026925453782613368799460689464511816608841468341100548790130974399979301607994137192889047474838556184466451402482932690415194264507784601393513661319861071815162392912968821471174584324617079966655621059704051332558754692498515332088363063396863156768063646707627701946473782983997448943142538907565297003661239334137618678371832998324567818529004672214827332612333545577875529632255048686758851518356481930792983472789752322330245134199969568705059099422653302809847727717933096692619528287118184479560949066412417231124047926721590072756992271987215368490947903177653035964897177083436670469256646851031470660548500269079085811642638387017224897396417580303489271767506654548986155032540754927082652111953750541433741059862741716246655030759495618246856612173994024896235054815458421118568010890423132977581056353619144970557647186756849169844599364850631614320410083636225119750489874912282637190041590726024704868490234583748902033562856420817485646732330028772777010329630424952851087394906990879182195964095070790170823365756410110660022904513273956607385593089554482419763742504818281941696663686658059558208499191520810946557562876948868358059775598354522303531877940076801731438190878970389819617958802067272292717222806290898308655247345478512037951313477648760405262985486458902723466363730018888858007431002761107281535714095520863332800388679840559674018115527145371022902826890177825432800619095014913056279046849211283201378515090748586704878736440896311808190593477816506594622123597494611403802304115866585037079670775559616364834386103198391021131041594526470949947594973316189018281762036077761861427984562534014927357437059215717772755211861969300989547575973842793324837627611127375737936949569296237866549544080016541425041
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 67 of the certificate chain of a 2,776-digit prime (208 intermediate primes).

Certified number2,776-digit prime
Certificatedownload
Certificate chainshow step 67 of 208

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009030655654 --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":1100000009030655654},"decimal":true,"detail":2}}'