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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 #1100000009104084392 1,993 digits created 2026-08-23

Value

7648009287645264629232255327659909340184909026949813626803066524356349527598388083563244949033131430310709167579340870176779187674420079509688228065851951089146476923242885703911948542268788501699414361168937471420112354996078041331889225883993890368284434831736261516534921498991768217379200280247081737520634668107582303588019327632537077248517257626291294153428060552792431348115275286632048630337138668764076997602818817698183935409482541297122319477291416969064851465711258838964195002962358036146648218472171564737922735849054352522480063970242428744524141343472209075508261986874139365017117549451040255669306982331920851576920462905156981775580514374365352776483111547011428816438933938371155783626399506720195912435690835999945122275464912907742144576762443318404509468794752590575573100166582262056082298360510707059510542196084736300414261760389962851080582278058399899154697998848876158082501158322645173486791299686535579259402465368880595019658877697939578027880842756486226594257448975789935944311427770849728200112503348097103966994788285312423249571126902814460819716209108764968846346185869282810916172494822351468431622163713499913968638804640069050673690889612671525587609824623272508604692353796154442220747656374615025889019096321579904109672159008904663279223300269906299418768867314927160759029393382431652236267420333321769911744565759341750853716456650482460052981603835854083133629957262563621901607106966814965126398485147101548124499680372084428651183537319892495379276826910645827903698203018703675717929283556707847691288471323089907386365639833684346781463377305325506454112935763826650242027736962355710952532966264328860029593991372631544060589707599186304312269378397062430208757322426016433663351837081007758435479411632721716673330856746815496166887063558237406116150023691880786427448942267915052453296387871988190298732834062367335201265767078035373160642604801603811449631245049278511523508633900109770585708952801915805902607133962804153089595109483569
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 76 of the certificate chain of a 2,989-digit prime (221 intermediate primes).

Certified number2,989-digit prime
Certificatedownload
Certificate chainshow step 76 of 221

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009104084392 --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":1100000009104084392},"decimal":true,"detail":2}}'