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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 #1100000009054110933 1,847 digits created 2026-08-07

Value

22706437039949662805298414278242564679395608187643542410330799222863691144070457911605197572007245718763910293932134012101878946410895241504199602288797295758566891269867955407924636816932424782342700838144954926999028204590303361399956561445692941207169556588777526807293486380625369450965280095154217705217491457938169491843993461108719097416097874053282518455144437004001853427550064345891619677075496870125849734042727937292324319082721888046245143062508461097944606657680081920849055784372786443041386271639977814545165643305937666925810192388135404979468852100531756662785691416257541377216611467817133534744370005686771924991094474215173187274245296522566416636623928414743510141658577677910685667651451509453452343972347078757930882166462167112610664605008605494302103226474806660530552995425841060640914513867880752896007264283499430407383344492154850098580099213519192545669902741324032095800639408096019923301297374626227153037326187603601232887447053053806484268158266130717988199114997673939517292778902908850886533320586273273610939234871971524925347487655355331907380338871766458801053517241622073785567202657226702409621725360740582523027551097678783713008929944049382830083079206931576455751262654114468633423967857494416372182098292184800428697093194329562545118583483303720255567404906050197653311900136935634863941194326444126594952346490964622776042877174041535749148799796061560289346537953995610289102566172188867361326981263848356913328837776428211694636790357570150851376799110840324173275195095117341776752588951020836850068337326632511372538399901600162461687485885135461641655068615172043862023179472929892827729347504199227884250719199489382471664777378057211349861359234896514556517727820984377759109772203641013114547450435925559336474524377211264934758031768506883190373641662416626181655434674734359708539132472291
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 41 of the certificate chain of a 2,306-digit prime (182 intermediate primes).

Certified number2,306-digit prime
Certificatedownload
Certificate chainshow step 41 of 182

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009054110933 --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":1100000009054110933},"decimal":true,"detail":2}}'