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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 #1100000008766976049 2,916 digits created 2026-04-21

Value

509134417263796307324007360495822816417722027775519451710422440926061253011412873909943693844275873336059755073316865789557538330015652307329500124153491256308888032987524095392953387312359544860304874244639121726246061004163841686443615038797661943218107395453512158953764478734767280781906282317527612083211861933242952910851936530976356948358699380004459497323370493503958777820226625010755231399376366111347917897684619624650962120460123128433580843907090999185603269913563250959949092030735078556590519305112329012605663339808752543420353293463282299589155533244388349986107806137347377531310618837206928475223391531999584230384013487032735014629550767366366027671857066269097715792849062339933648476471164263427809554966844165286746060716724705338490141035448842705671162365080092739240155467144483297211598371886810146956238430833859047308598059950507894545570060609409181076837981732142552579331525538941443450572417630083108838553946729486745893326157576394811474553447331477124450371160798627067474038098128226965969997798730407646717093136529431504004647481290150428181795540393245188049915750475814119396978117889475449147186343318567907250303701865231466260816290897296903562171846846460223412364499438774923964474542664924582471610329429998090910931255915179407313654810317880448428393974183605499286436168349593837171179494806578940309880377089857797959783906121391758349703861681421632924762892190751909306424019794665224385159136910551479887521163320649441243547346143337881268018191424327405273901289731214050155676279520340171920211157026432546610974983147442558410899517522031893467144591020018638695469180876740660597477288880892166831302494134493081497057973769848274696897608664116839070675972833482556896514481758785733952936775412973438065488344578083043476225568096298882656533968302398030622160218680979649449863219128485420011040589697741484096575765436240564324598785089239170946999386035266416284757419941626562550453053765334509681225066325723593445957020374719042273103956800832074645558116781291037966272403246966319695511068386084590720222440051246189176719661427512193134869610816796405191603983372286644126115125198925485157590128841532154813884466386751329336904992594127580591445273451721180046752132544397874669365771371823411240484009281804939872888324024259581952008834733253914410303670460921554928441316008541144778841359216686526555817963109476658850197181357334326952331471181980312084463282317480189516675429097114757393384552200521742566603441080035447520039510212258500000176090774918841789160525569041026683663475073175224771198132190557798850274014921154154753653588163529103818426497293260132391764365573320503546549737642937507863758210435092791101091390250270522514149916233510097389537224649482173154055171829342260912526849743331850678016815040326712073509693573431602820538158895979922652932758040388764811724531463457617998882580556391746999142021476819252931
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 16 of the certificate chain of a 3,113-digit prime (190 intermediate primes).

Certified number3,113-digit prime
Certificatedownload
Certificate chainshow step 16 of 190

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008766976049 --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":1100000008766976049},"decimal":true,"detail":2}}'