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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 #1100000009064223171 2,189 digits created 2026-08-09

Value

43647109702030313774085658919845910185414514664124144181660177923441598538054780035220886320151133038553878440301923645549684306119193646218644810532074678841109365742069339553626955939350530190781511712918348832810398562424464389398316575003544720090137060585469972671897353381949807949214120049894872795855546217776856779348596798722660576561906712046282087973913005032191821459464887793797539538147007351721809399627787437214547079131719938068728806912047984831011375524614804361336188486568636351273687319345137251249550177552443094327388777417032447386733901798061251472419719064831573809176404615831290751673956709887705613383923687333358512390115912635604096140274438509904390633899246090185432455895194474017847692157781594659018474907267306664299004907104013487305259390087385404358943767471220113046753199996080695617924690155753431664248493219839446994397838755311953073108866401306427602521818131400877356923148915541598472645921620767279361168954270631721051591478249895850520086211805400991311225180431950089381810971245582696227399329885046473551294850874629773711691949307754473993130735666223712979177624302498224860895859011228031820067671343321338917825566721017974193189040822301671237015856769150194109572592078002663581721687142266507410439672445502067569941659731196374952708851384050168393550010876205201273667237764154450556071548379540020706211910592783535464678259727767661801700711213750327088995325713976226015654324293045433163680829218111827589486029754365374983647970462041723013840148435324352296700892369111048862984089271288932096900024114409073429158667337342775440695025759329284270217415273506858485316432227983990084461946789180085554337490096943291379922436589875443641205156746117087739102432978668525845484127647736085440241315806989320932884363009021995669527405922477833532148751759662699634388473768661155293278156098963457189288388272890809804743611631271795838245364669608595271369101351385338789935263031647676005087306268962680030926583055296154230263645150425285117246487631527822479954282366247315113252472619685983340979336451824471971606320622304143517240454736770631865744504467923513977776904459989533682728189892176142950959216141589
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 8 of the certificate chain of a 2,290-digit prime (171 intermediate primes).

Certified number2,290-digit prime
Certificatedownload
Certificate chainshow step 8 of 171

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009064223171 --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":1100000009064223171},"decimal":true,"detail":2}}'