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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 #1100000008680828333 1,823 digits created 2026-03-12

Value

42176193696444885987111233942642831519468068376220288620335448035446317334197249954352240211353415455987802920966278295243821252315257963038748712289768490446463403780308077306667851619554889313479654751980070468171554085996339426440837533025914395145283721927165966155250996335900532597373826717852183329287473898647191835553527381040227597371764531826913177305857573507104197677316725190416176295425387763453253588809369496603245748650899362427801768103100691907347258998755826179625077645879856695678501119500444111194730540164000127714579643769470925939614936399959319580506957363215256250471194667464815112972978617106068347001441645933783905885501425169134993911413819544586608051499389038553306526063766768030196045552708681876167216162297883679899851068061749461545168646071505852510446988362373790905197379337376229047245175591503003912759130275974308353342854736940428416242461435108581735417529841103722322028508861541556870503610452711709954494983103746700546515208714065005609187236951472415765991392545093667459766599500429094832880519168135127331382722601360214032642999341793026576497629841127148359543016984483642793886032095858502285922683637960904601834795821915637857862946645778129134588147254839780013119374264729938970475423052084898881296327178517924888003415268499021800180854069708710315352875697507303359728363704692372408544638879847520026741275313626932087566826683995126772510179421551328795366820462117036154337067266568530743252300073699799585798873215584656608153721217383861019657303580165371103148548210716717158569483475644985853912904565817670841811758478132665415877511254933304196901009201170239647619572699073215777335048287113358783631611515316557520947734653516928535546259362076779934754895913132174891430430485140431609963241084790600531877923895506025844620561588711241113184847
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 55 of the certificate chain of a 2,694-digit prime (164 intermediate primes).

Certified number2,694-digit prime
Certificatedownload
Certificate chainshow step 55 of 164

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008680828333 --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":1100000008680828333},"decimal":true,"detail":2}}'