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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 #1100000009122750682 1,963 digits created 2026-08-30

Value

3688966780431197822681330052654171367027622445585703664032312644905659127043724711844270857970917068738678333266419459406479344646189642540763485309548817852573360390753642110849805966410022616287398433253111098356452389922949826816428986965710565935790177502515363671660454697856267760087551500271127861625426890779811619742679598630026736554870571867445781329431146482612858869491007545797794056176018442006906127911894389219514614270261173041883077268723836414299503719532646805559959165803559713094982862939475349799731550622000735023273451029526328338821683906916502719345121014353384770659457156946179372031689069032548070480532959099574200490536527527365311437816156075781216571554482848284581060125743456867650045167332948605104752120940290362333135394011764147700574734341298166691392372629080497244664712126661295908318691868411140881133968242088383499886537626232161660467132111642852078669906010428131915862523730866894721984077685516405186449325681578085816609522327970672304836445339998503203404277056485510566410222771855121442255497482418437527316550894671787065697802860574047591810738107382556414083304571923990823863891567260867012305094564715451062005404082193653148094743775530259958815745711327173550282822377534668569107698930041049506877756408389404555831597262078548067971423975849086962334733830533929868113333814690430532348909619663591157116456903980896113420562911207382037027310743250979260305938274842728489383427289634277449450929733859554102389020780161145816374876373002705236719904695557445118323463144326715909442008771450296321722170724958480730721304714214990616329285937081327431636057329383047595054385878495196350897789318256283065002004698664519328249962457030899891467661573694370097361844238171896410145874423982184018827701693597431139959576572543124698803090336467866913391881305022775609001644252163449420848902218795935901827854255815122397182942657211015759585690152146857500830013440839762251417051942978313117323
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 28 of the certificate chain of a 2,256-digit prime (240 intermediate primes).

Certified number2,256-digit prime
Certificatedownload
Certificate chainshow step 28 of 240

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009122750682 --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":1100000009122750682},"decimal":true,"detail":2}}'