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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 #1100000009053481253 1,729 digits created 2026-08-07

Value

7453502997626107101486423572783266918689403757838148382289449522819680545767516979315722696943444522087510048787040469385459605837676188390657047736537926024589727384555912970488728426491914668241379784052711417236836030348759234030926308061160257273610441807215425436929627351419079721451847662097745012071294959951269975123998501619556855990710295221380403022843141371483187648885401831039990165635776864158631673695053717257363040814002110376139936527749676919372089154911309302454309211301396312204821237635754576988731241025696450596116391239770969438935195796450078683604083883006246196414915037258232662812360718227078641856151631023489420462914340967007627607211111027762753840021778101479696430390167265513441209638048689086240496626359433926663746597149842295693392728239614282214442799024902890910403542766204428523327873281785532452332030023291187553558584330671690011277921071474492061041225582583376109291678531820814899241493343840869465300116305023690858903980568990968848321474019787085681331557745456378223197720475591863150281686249540843381538181081379817843925360080415733920865812440373459779616180741491412146675871924700798703570912358325588397746634976828661729183732879705063133306094308590191110453728215684319308731472119811838430898767514607564765335750850972808846858067847688072486223258868697677697982973870262363473995334197669735646185638246298687809122365753099384897964551408411113723355982417325147640876233059191694334722289034677230669530157307221817331061944207526350551641491424396065910560949858046488277751167621120180951647963230911921117713732919635885936001041648696132685456605189217905577567790800966939411522696580264495057040681250902972019472782127840535132174947697278808719233
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 49 of the certificate chain of a 2,301-digit prime (179 intermediate primes).

Certified number2,301-digit prime
Certificatedownload
Certificate chainshow step 49 of 179

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053481253 --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":1100000009053481253},"decimal":true,"detail":2}}'