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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 #1100000009067938415 1,832 digits created 2026-08-10

Value

12866868936158654474027009610955643557374157394852895530049809555742960493136240152136265841298828022977051917693690795506061144602496869664107655658259788743895478260050819552958782656399107314115332861116056354595279942173960646536437417009000342168469730612979225252747808466341691833988073234957863268020696466627840584722946574713777618039145242936476364264628005539507281251120819893345662237903815445798432819691712753260117820673510593258141767129216350974133725914755474638453644343427329880532915979980954460763413876899570536175670268649868997492933030379803423055913200099799255626278133302825072752144397576229745253814691402797403278854908929380045627370182720950603667084629032289141593925754443791736154056294024524237829548015581444662596237359034293295776936137228021958126142871031428277050068625793854206959479284501940703752608401120693650114370485480103536035300430799872007831572980940724020207343045854367098671906748591194173185629606233898562297987874932035822978086444261874878410044301782799577316869421381829184911025362284122858816982658369638342779831722155744778651795757618742804324677845358454424433154219356217093640979347294212824940519058375086768848308920648459813999750111080462566859884454930383936246046084161933949790456118568928615235009047103462390114853374390917773820097390581883978215777614992384276040430192834452666063624763788437116732024045922777112488362818189900118431888976246964466442815146674996634918491998524604966594123017744613099768701609445205334626158081560887869557570371591290859338585553101988871547704115834783532270470625152541211572644751394899314558211615001319548136611967592621113131517317256830888524762862078047803827337555526918412754742721318362884398700265280828686908524063327028516544762458864461582342731409938475124942869363970442768469448256050096439
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 71 of the certificate chain of a 2,638-digit prime (209 intermediate primes).

Certified number2,638-digit prime
Certificatedownload
Certificate chainshow step 71 of 209

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009067938415 --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":1100000009067938415},"decimal":true,"detail":2}}'