factordbrpc · fdb
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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 #1100000009008078461 2,687 digits created 2026-07-27

Value

78569552665729061843306889090216371011841862904381350442506506940711861718563669551355525806676849222087938485092593001556535125025295594164123505866981135032014626622158014857554134824927684835125329845330203846239622530467642368430438608290353936553199594503020513188374541854681453147807133884040353696289056016317778817252490569044434820048889271265827665099762689944202442380909464114108748532544903699415310454242934679463185097109410902879459091835474294966621924811090270001190985097781449674304194375828090246299965646660394074866158377980875824148279590653654735918296369208482520216723594739327286302557811831966221249770378533067508968898963157455410082890529955328165321757348581552825609927905279178002446593840750965873508783642298489418642059691404395744638883805657078812211194895273212533650985841886839191482857604336501482757805834066370287388549122094569844641661134793331590263520523796297809089466542304832743081331414361254292459583759978007445689334797312664143479681495659346411574416736233737138781068930928400729404245880568950261135636201060745102613834516524168991762472237318295875595239620949183777868057225262420419012857970342754843149348015071605654923271935884559517162618426363521893292058316968537627029944168257510271450655742519646891918408987676357710253518745375673447486731763071379115627477113235290835952129745718514383335117501801901134422758664442209246084247093457463594430879690596647151681066545553464529827818049525249538539708274246678915560552659191101273469169268792889366211695863172703749703507766409358979357599895463796548427218012615456760364962424277100562459036572080074026388018896687106684261376597370977310174888234017042504945813617402755178100002937783215391645215856365328992566239998006946363133280163123524850768898546937581544120818533479876399312662986862310059545407777908821291584120670889380976512407003330693647748583049021709895196187249180374709023599550498771608346604335582424197208593930869208805637412928829812328460709807962503199392177747702528206115726725910482614805668162040056942878018719694778612162407392748708858144883186464652343849178446664556750917412981735750183695312200705418942315761442089777888281640582852791083128712611557047061068157972304214467005689916011703815408883255204199841200573914349976232819138722418553926849137384997035486128912189826795414954205947874499580446453804626422109762095043111000080647087958072912438490838312336384899377869652688505966879572222594089622599814412485002299575664432804514517415315949284779999331769114690605428259394948895931526217924338295290531231992396572018907553201277147971176217270129887657144170414173628729698773056221335818844728319831
term 4373^738-738
7856955266…31<2687>
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Is factor of

Primality

Primality certificateproven prime

Proven by a stored certificate (2,687 digits).

Certificatedownload
Certificate chainshow steps
Uploaded byA.C.

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009008078461 --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":1100000009008078461},"decimal":true,"detail":2}}'