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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 #1100000009079602279 1,746 digits created 2026-08-12

Value

493385080767122524535344574938126162458424246441441629652932010987069358398212652586815068059593137294281345879332917096866530825242517394200420061350211768960231131195275767915905832886314484928574238138118556128042110947716327530884356125034844934323311779273627055231379327365796115263158702984285739877255435036287127558001308943904763974238720660768827531339291914813311398507693633421292903218353020708612300381628350781600309502341089216948344069889523501864887112940170051810286459606774928681592185624549608642968873838757612953294096022051463191980344468546941564750063876554395693426994563933949723216204173606992259494949484130425710510515080483530701204698436265827095031921498357076992479064488070443567859354825167043964383297595188999368627160184121595300996782066750610331105252980792475837671878675924242052884228409233807572370870312891254680798612297516816315839003074961682288987127387612241851032989701195671066462111808488573453547762412383817530487999824906655164347786098360352761867686928903339256311655990972335176089286243602631242216138916318347946514478000571062377138324273836317895105083600566205448543274020229454327284901124760316835971634490761992796258360036860936306159589991699383171385048531865221446465586067033379505795077917391243388585876459699473073121850694292370253733620778367048604808554849482728011886103250452101328513683505404229164911889739380482444630634976573710005976757289346281516353079639300258757400329429509397856095498416394138444707722902331246001298678497928365355177430976095966256796737487670804984208036932563152290118257034314841926632901442133801287249340220010944711374077935115870086814825760058029758921093444869746038641568836195698970729142316342100311462004305057399628567
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 23 of the certificate chain of a 2,049-digit prime (163 intermediate primes).

Certified number2,049-digit prime
Certificatedownload
Certificate chainshow step 23 of 163

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009079602279 --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":1100000009079602279},"decimal":true,"detail":2}}'