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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 #1100000009131611431 3,121 digits created 2026-09-03

Value

8539137245305453179991977226708518997595556310811394549647839612894321225291758210839499869681939465031873937811422260080255729261467454663871201406649106843901541808743028722690058646371826926716941287724439266232121681995547044838897043907759284452803608175125131556415543689018465332938546740001676556160376516752427769862071870407433985433560154335782799307732084118556047854556537353926825600533093245336172865227899884432687095396374532494285676189244264587330649685748217626434579598206196491908166232438592560887049176226521332189688551901133377608106739462154216090975786778717033651867605695484592166066418846119407116151069525423525570538063523291624497891999252718546630287962180681380569275381692567910057821005793168189157494138423855873375049254222167197460588702779273162420285474442293028451110482415880131890453035702134807663783885451654746176866416168834926506238891314978047126031715505446408665588819812713346886773666459003609834905722896156816478313602725593077083669756065144882770851784471143704333654654016522625166549519516281411939948000514226091522477793174642016118863671628241359895006044465154124007960275789287825923958116787263953481719990654613409508950650979439360882420992740139063239476793868437984070411006077277649426846966206689517179053826860559272853874600899956517440304852935732002925175803638392669172628047538356957843156039547538421430473529316427244363510754892734673662225661955145416111797185902212172250838592776784897908678915025272014700379952465603053182892025784958290957293622522961726903841117670812799020282467319774210765463972523981558639243074922014850796389996889472492897431549158022237955899016159817291385610922491631509987735396318522267829486322703397214323522412700117494862187753350921601875765435450681279251638185566030491651233225299010638706981021279180215193684121542014904429718020729894079136292954308262623873946546006191197326001419315247109349174499921533675383426227648170470748865439469935769550144389779828596384357072619011833205607839006608289541069175852550727699643894163822268999212320646475619861286866040370732059555615683415271158504363597989930377080868717730270554984503958518626877133695139024983025243433098383727516781105310224969886563011005299752171114403402476638210145584400432121407377812169826249766700227550312426434668700040720872361397642114761756165772985635845823009988585541648588946235701819607783616383590025599136054450949185317644710416035426079895113686836289630390245262102118865926874451771013300704638374532891467781078703100795096327424376471565495391401076104799692266599083704916019016878320319325999945843672256544696912681223840798905745701746924170270004599895128384538957777952007068426309351142127929189184649582379184570929433046515890303182360044661970363597198822445345738684648008251874287714134454667464006099475138014134738853976992489590676580729406231369487628988894406917976953114637841400762867597194814609528745270269961353323789545998970351729771826681231302011114735658262431235491493604792777876382221984315452899808440411959453438707382744472772480253014469256846759756005350205169
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 6 of the certificate chain of a 3,162-digit prime (313 intermediate primes).

Certified number3,162-digit prime
Certificatedownload
Certificate chainshow step 6 of 313

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009131611431 --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":1100000009131611431},"decimal":true,"detail":2}}'