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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 #1100000009033138972 2,743 digits created 2026-08-01

Value

1192165912201190923737815883526128795128626880629439701192544802696253261237144616631815476485785184476670317830879276747312670532924857107242874037353431816986648423231234166937388455727812804107709375094205606518896182640908764636257395534436136298713809439595299883461601021283446461887367092047758620052333449044007369729853463409186190439434060860777669379485321308610415273437739421088843093194811300088596683702068662896225779357961805037146290037322281930657466498948474527800562894151874817481980240692102300913660391313964262223544272753901465240482720315539716549323494384444450685974815087445588287236285758150147321783157348631530195210384361311381756050808004042660303422217854677913602525706893445989079921232646365844429315904069248019266201881895092937637359926622195352946358287497767724768156737075361616719294206119441952250339619805629338417272431611862649587416569306925747803141632976456744591594778116424315154336404935718151163028319361702790324650515957283019272313640122074081183399374978047307008818612866558990503040150240758807916257467765169450939049717787194254357376094176955980738573923398712519322546005133514124324973148361498661113118204284863148856668564776816483780197027348759317937120752715848714260732897929494311895335099490427207053880178734657240576146074836103171136912306248455642030423368423734895110320957396218300170065134329553014320428111957236803814733156793877181130965537470106668641453774657794283989256073328338483469852304933256954479345951112544286219451413427754356890757840386523525500073194473811180383918302578230028296236357687586607134959455407002316554816322598460427286044650472517997759230140790466706897265997930921332025936408582609232363311399478831748124212291414235755975023777569439833210351770528728567279123593879150290750322790816297292304052143647074867641962356361771710890296712907000488995387327770819688148215610042138204952903865882543317480788736634332130519398257379038793234681602610049054880552292906836300005544925297578756353314619289979396664398969250294686195581032751233990641749729368843438636515802800134727820624607200494099562301746857747069629067527321727579270249306207755142856506976477831443764597339099779137038678149638149639385383743521599833125124641452490215523740513798652487505631971008080293375351725112553871622289375266748929205207314007743619555334165157284553248930454137208490253454689240126778127593142942928770920785411254419378441510955243549745333570441378800435058085697104376388571684468603263743820707217221984090439089226493651688928116084730217935339896698217115304776700237336590491028712298336808885970084390693028584511254934532726204676667772025584138622830869655169251567825768344560112589803841996772324299152595967
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 4 of the certificate chain of a 2,783-digit prime (211 intermediate primes).

Certified number2,783-digit prime
Certificatedownload
Certificate chainshow step 4 of 211

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009033138972 --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":1100000009033138972},"decimal":true,"detail":2}}'