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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 #1100000009116966261 2,678 digits created 2026-08-28

Value

25625762396533993042645397483846636731351521078740487071743814230412212617451829704148827641287551983967565330869474365151124451872645906255806882585526620824931993220466365218769912063020512132954973901933885929374498720872530816175124574312937913058935446638943747298732725122437813338754909192942376677062893862431214925367983665576917706190737536995953478566264540283473657711546881723973879532891350949928312807417517602865409496602677753900714217305053638989067509193792003019049733859605864444017342787995069776028567930329401867869565938060412246419689779326861548391138246774709047408534379186574530246458476607267996599191598167373743149530685606035602565210019525565924760860726785006940566277143037905769368168566819672151741313483416337326556099275914286541424134909378885889721570218454938505621769291875492602826179771708520826102903704363316852007111568439703876435838024430535156768757699184245679610816077382184389751724890333018623153299389550905927814708530100688520893982470011390501019865297127955046569352503766012236069339527019935734654418911341663683974925968199036360311930701407108534739460007123522415734971030968456498309162782127524597755361095880561414557845522382929138872041952756098942656890258202418069958240151778592159553756671934377527452170418011516741507415915043236483953262137498248038540124596114784446797879439232451106883430689340948447617317036151206902841507684847349698199337246898635008802935790378025248367435897127040508680464636227253819640438137406197067482810390133066216548004035531410930203549516713682581120707785019989165201853790293261533199210065737973204242794160232763666610403221628646455840946424337219044911986874839602700560904113031223896434476484260531939445985211721085885963387794079692500145303349694064517337093417809055795727987764886420105645477085310656262188406164635920694312796359933211451894804005915917492659302550507383128394201195988578141029089429218791400948053625075540956231737594448818013642758649726151100913166602034055174455678952251415980084630956941798821120364611133755199676649794427290624597912403168590493220663224332569955901249337227719653834895212014072102378305250321951423252217229231599389818930279991664596567721651668367496326188959292856046065411166950933932456041161314949239476219039970352378304139036412547875495337984542410361425474730285261929129082576708540692755547738766071204636837035132484360177935198847461484723523454147911053324083141750840846758411995691306731913734884421480785024946349684485946943687906184737790133534068684897833692830534747523231545092648489728185514321261022087964984602653401746157541356004932437686653608612330932001265519103013257563
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 33 of the certificate chain of a 3,028-digit prime (226 intermediate primes).

Certified number3,028-digit prime
Certificatedownload
Certificate chainshow step 33 of 226

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009116966261 --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":1100000009116966261},"decimal":true,"detail":2}}'