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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 #1100000009061620549 1,761 digits created 2026-08-09

Value

309151378889605955213274532437138647291369532782259741470678367629127390374380570964501087230074048158806711679862983866573292936280195547863122951380121582559614933361820460744022337422371057562827025773757486957486986228937954680043165981769830206005144633482720109506592529475797975338817892648202226862639109809342280257357959407225813155322395593018604416098298024578235156270449255074405537474469356121515061080839750635142857136712802469417110927149004750991268382471048029287298441773944732267697360627728106540391808945442491234448463780855737469233181242690717336238307227617147137412800612817459278061901484239095765605549261399801905346743854566522664862098957982090703543760205903163544288844733930000571508378588819523099913303154048544201518726254701669456865427183517891314501171007477023217210169194244009530446701111678271352853747152805618373810112383095379278646410637685871491638357465638052550376984585584622007955979877179576946005182003722832904903960230958252370419981037532542578207530838808529091453659457200508463101188090671895993622795032288638530415031892569359099798355743276609826513103493071846073791526352053908281167054773420544007960251911481202483233980494559179386428191788291558749938695443520215679636083639270878771692844167509127737056831059346021782584935038644836201191107833595590372749338434258922620382129074805039565114750419770398120012731966244602760149388653297779868052678244946449841694354226289560372080862236810650968989201225385265937175251718858454738292025159909219034864872191981029707233504870079021151250712513143744389756596740448393247546472289297005563113603370069627273333755798063699869949113856285641505794261111558406341315903817224869985269893754773977883669794779953790457996014008402297811
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 58 of the certificate chain of a 2,562-digit prime (190 intermediate primes).

Certified number2,562-digit prime
Certificatedownload
Certificate chainshow step 58 of 190

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009061620549 --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":1100000009061620549},"decimal":true,"detail":2}}'