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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 #1100000009055089593 1,839 digits created 2026-08-08

Value

324912240756876437805753939772029973493720947183935257623638906038058970200563944743701576934519382120469453359622014121440320088946371237488029895185041166415646436766081347366768801679584885386468252990959110661179035661930799178574628465786186229468865376958243673247246761446528557296244711765598826059775231784440736903079266703348934146891954163376623597596635170366867012363156078757526460601806664638587957725208433933343687455146606523662149222043439658716696953331627789282169072954757975212462417088479728094730055775021111743178504889314135950411449124513195060077406310999956272582373688647065807658294558407173202854739581668353551666800295460772784380519460763528891423813695267789008514045074310302980136566602562120473681888521824013267304508280350928707500938726299094007947111615796364351680648917787529560420604298851372662768881162347491827126184097427955947823586417850973546014169667326402735142397075721086717640673924703379972239403848875050953704043945145005001397061404702708602993126591262909879992152484054225220205942580663765851771456337421137815781936628717784521484495736719666125988346945841469867752672235653368170666197178043430216327149543806248317411175555511529034296160310530488005454402341009188174200838414595625579386606675951923416864595747800934729733697945582028254052388553601490302465008868006108018142953608347611516005448775035952562664814393177324088369810420169010800313883476244790759621947659499345674595773501844756542055789851674627166207361072192327022884315278317508962786529664785182027025300880311329148223026296915509948888907451374198830886927153609039165811882677790650088225408093015734525714560489166648691718711900770893686979386553263840028889048351825814695538715955222698948368884560908772342651542213386444179802886934723800577136114526327922910589124882099571353386571
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 60 of the certificate chain of a 2,523-digit prime (197 intermediate primes).

Certified number2,523-digit prime
Certificatedownload
Certificate chainshow step 60 of 197

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009055089593 --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":1100000009055089593},"decimal":true,"detail":2}}'