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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 #1100000009065128133 2,476 digits created 2026-08-09

Value

5216095071048525766125561026570849480379870290808270603047064873241552969412592826890587429584639073796705722088455047050554378412945989099411154566999943820622801628602692289685485717970749793405894253144896082521990065889040318297072278792452418516688793918176950249551034244529467984936060930618738488123650150233071176350661150898722879321389062846684524204281280651248633838263666676649741973690368290176175148395471527122961514222414871588395345180378744290214750677755490595694920947005341737519286561615371775815008975741096359000707656978947442762541205345793545039596116963661268630116900554550523213084503765581264820897318278585244478025562042712086369128464273455579742290149646008642325694657087531471065311932689203715931587535597549721358485665957807511384106259552807808648346649927435077768368206661556082806278548265901196595219254298699958756232071569685441731320352649410050475221465033466930925843203605271200648983935958141609144094163595776773882363558833025127134598815937593312061679659218839754154753065539166460552306644077789929095724535899092910110098159249776482253299075027196025554395775793276277275536622644933071251902224089345166653850995028733613195792496397987195000565295720247651684568565021801888276230098308238685842120422017288080545707805368632633727746214867713225576051431917202494075689215582115007499931474903344228550142253010316003939273836321333063331897995116340974730594997255890355973025181612702899049632971004539108598133214687642044929293455795628413438275402960753440269312913983525709430503946904694789672534118598314486029292830820284797970606686006715683584312219941890106016856147191560058345293870958851498862893595291897284178218757075755925642341107135942198460848188395869751375357506075202783199270917602707570521998116059678315339413843889679787842888713460304112150787349107738770379906427490060116275998538304253007718783057404090650513224802422345013771865175522894927578195050344615763440399627541466880769102286411101682750054079386842733663563103180514737109689523038713894522442347461161655039057234392300245888736562833859651877090444406764628045352415603583506164731456331573700340917079081585580716901982203260792628824647253227844552509307288123028666895582525641990617671159044115507032790819761279841782213474077936555661020200864230494495051555918007467390661070528598925253212751075119405175760251448018133422027071136759055633095738623049966306158346656079334298491743226143005553673034472077
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 2 of the certificate chain of a 2,485-digit prime (189 intermediate primes).

Certified number2,485-digit prime
Certificatedownload
Certificate chainshow step 2 of 189

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009065128133 --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":1100000009065128133},"decimal":true,"detail":2}}'