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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 #1100000009100369536 2,854 digits created 2026-08-21

Value

7982672784853753323153571401621313411874377073390255544340273306060995836358052836121022302702387346385922893397896958592437068120821140244487589068898183412869774547287486463427856770143549921307219268218025564998946147358733070344584309283329589866444378013507618005482903285065146127507068319561596507101062448809621719005032177762099828882628767533449396746946498728600355223709066459441256092566986680876433361555325202096507148795981439925011882130414715995601381031530882589939266916995309105762884829106330791180025199861699371571145816305489422941932612458254305293095744775230551550008391455513928230855572520067733502027724996252021468288679993210549487586785312282561931402627552139947465475311078041637833484859635512994746001741662183689401430608432282398742922965622103931942470385816565938130370940598140992658043169363892619500309263534947533769752886681192430093841783821072338929239716808386961767236540739631058616507498529699889530855110924063706941880031718342994507706378562651749285670611219284156216031051956681276458464215463873882283579411946834037107604802862023732961943651979329028639956050385406194978322379768781128483592785405784402886288232643612882204858685519568898602257857203851079061668877567184735363690195813639007440187972895049140082138950929334922116388761824518653136861813276350414086755379854328465635845264612041959256616667073589414845662548703771952634888244873438647484380603931431590201975047332587846054089236448278630856605418198487964591754071445713251808965082115747995939380322459922890300742329393915089769773588160983439925266923585550950697469982225718178073590433224358365242198394524536627631773367902510214518102178266469757048027400431037132610093509766343697874073733609086349120082463104861088717334173607990373675617488949655759251743106801343221206192954310812687575574723892106235460186749238609806272184324801152494573458762825351022565092201016994934999422535000600053358685292219225775991505450340616897930058762406710031524840062599663687472765420813668425977859969896057434948583720676843373495665349673873307430300009011590135883901398782253911100262801480085806655064841200100811164610526272105208466103657241755798485586308234676542267388200850228184679613002448402348606373289721697318532206900620959148240079886592215688230523701113948473307841403135852121672287975756933014733743371448199222558947385799324873173425625188277039678159059071454104282908750925137700199222383937952382749593519296186870409985686920130162670679306783855749536974347950108257822586152318734510424609165768185465101307665809119700985162978495799835247619021871959209517271771819848970540277881754295375391653742218459062329273186926794956840288478319382294683526820331310104921681434939782744805369790721296830494211780037896885297657487613867531213069720413062658462221764092213208261931962382241
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 10 of the certificate chain of a 2,974-digit prime (225 intermediate primes).

Certified number2,974-digit prime
Certificatedownload
Certificate chainshow step 10 of 225

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009100369536 --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":1100000009100369536},"decimal":true,"detail":2}}'