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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 #1100000009033139081 2,453 digits created 2026-08-01

Value

31822719441690972199787030034987547176345158374017777345838653902959416344077851098116544444032776323310659142607320304257378287315610393247589573625100029988466880424673404036318690155115652649354511538475574598488132051889825758060705487327547993992771718861670464477894777667395669151873888153735247942439510216575830455473422785723033322318211433273287006594250211893083281706572073176463000981454404982914048038082534403879707292676855989880012065037167307642156430487519534552191844731802443715281996593215324790559975469625699927404207418489791370861557266085797598078978427171220890352369511950089593664044310256117704631043116049060886736328207823863822966019070008179499093331697227923452479931746545903089542802929394833018150380018701519674424375516590555071897619100828980865065435247953951570027624978574083112734467389283874714425848117940324201699750147537682215816844259639955190384813549202179347728223761057260151428187896237543702053284827476596769131771311418382735766733340252192090786730106264623023105225351167927219936475035971888368768556926131625442668133878132118302626634784774780746475419406085567355249489869990743949992949309519041989363339307913029087090193827622791819901789431479449220022714902699189201204665049784931165180771292510759932865018733506374754736618838682362552309616776714478334942827967571196745199596319848730068962128058917629610838832215101831824362791966235886384405352828352746655947048619582578975557942911698905558925697141386865825595680978510896285041703125290605547308554120318102136660306671713011564429563535534274528128497882973644682061050599328232250111017615040895921192264785322063028443580808415551353832973771850952766640765234895589380929399910133211541998067960980119071277281138031553860136482782454318784923345088426263720676818185016218139024195876825964749061296970891215068121110867226007621713064143269484915631903908050072897654245814017849194065916104894120569740606077075343454099429473500648842906474879796783976275456443854739419999831524699367489987235617231730068928259016566175415234801361926936881004821368711233320458279853856014553735831556333318216604282204559204311285576068410243092385439159180326182051528118287211082084305074158163770567959695599504808466817265226925548552086414646738916943383756093749398148406698967092647344636826416977883388342569697869702581320404882180463934347471447187594617853172480993020166811398667316074373322735745515807556720931
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 25 of the certificate chain of a 2,783-digit prime (211 intermediate primes).

Certified number2,783-digit prime
Certificatedownload
Certificate chainshow step 25 of 211

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009033139081 --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":1100000009033139081},"decimal":true,"detail":2}}'