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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 #1100000004873696378 2,040 digits created 2023-10-25

Value

136598685270036937893833948823678142495772365197509988223725204295225021564382669254429395135844169157109125440973155787223771742658990903123975929513315536837235424213694179865805446837491076100950712672703145266552398431398968561410781650912499781544877920312353024845695166101765210357573569392505908012871161553731387453139280444273147846131053318612352301797753610822750420947541887662969851076764647680067386032645717592543553251964776318059391138241115302594657214659249699890891390279932220039972120543807977332300908140158766574908195014055686031793905528841813935029553910169176702951134107932006433753892177913091283702107326138338376616092062855886494786575664503601903585156192998458071025871684389363879128672044313988081098722847510129403083158619434216178724391872171548731931064989517231193210393142675825541313284445355365530465062177363554119116264096005489360764527502968886791428469262089374103353048760208242827645423486722251011628454260536871446003784809787181240723805904004555195872844804763368490456531478467011595355815590945254405811226824639615503661856764127456214128827537702732647626420241082772256314352645262205922582353990588490854922896371390633258040063868812497405048926878944616814669597292249540557896756123864016957525415341090204700477358758872659489499392703695862797111558032265528672138705136313978148480892093605218016005661501833388898855545524524505790832657310803521346505519267607036231285431666587871471288438974263622768031685632033604764355545428583104712504227975782578547314294228287747861720423422790910475294254857640044677738569891455293771814970595559755023914376621552878769218232513794367725201502139322504349506537950278963218437446557676866603353788625758356912518099301610056629365497871886259834257184912610146254159171978847798193733262174818699419618702555128553499199228364253625865149707767775491899110789573189532378378744758316415288367452194906545615577959540350587210625103790140639507149248117139235767547555419800533017850649738718836554218862497885802008404192627
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 61 of the certificate chain of a 2,536-digit prime (344 intermediate primes).

Certified number2,536-digit prime
Certificatedownload
Certificate chainshow step 61 of 344

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004873696378 --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":1100000004873696378},"decimal":true,"detail":2}}'