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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 #1100000004834347397 3,614 digits created 2023-10-24

Value

86124337790886749691098965274366877271341289523709556686444367527854205609839101770528938003978770047432742060067799339488513695866907121913110811333608790229280754585446766875827094783921469093508714654956891057255609999379185173186024341923530528219526196033586467384758759985491799968597161411881148648300476416711443251272381456880499939731685540267329787076089609111360621645636636799677790280463083808499629628324281379148953521885441986402505665176666325494560683352225747928195556111647459706839897727702313358259192186585128130412743969075961649018612622146052704847940031381269783269331622918196406769979953846336933411245972109199067894957624082401249853241397907255256445593078301531114605701515007146340974542141430395704188703749554405851596692386284205066584007857986469364914983302152352585630311992900409538125022267311667556740175533675529271766886385906664921318578778893996768976847044147820118292821979236267827786003853699130121223650569261532011301671543748195109828244150363184564338575628033342268425032717429209176683232081602202552628514905864289834352413351235202972551915356231148006509365291761365932353640063025707260443055544147681692121917820083480464790427746781735997939767811299447024135034771724422344421935355431195844993048840311563838473510807010753634711440343087406766436093209029853052065341535665422478028744164570721788147906998946926275060053391365148167465707685614711649464488395922499192772881305162158756746264626465482402520879809546413235984205968699943679851510799046050561253584982671849983594632576611401792827182597453194791773734062606662255753880949856355210991089162782277376744792876179808007765850598210692306166824340529066491715225120754988611990427965981736637772682121474612176737952243897633104897275842879529880051395796572176531457249922694077986932273002799351934864887809129987738415163940970199991453435553933751401761524531422243707716940172139313693599811159574556853482251269285737023604572427446518081987693554535156880518070047645333420365654935868972592312920029214245802988681147532561430776153691188845781949733737119069086034622938728168097478105174322201956429489082788784867311050853064265567300896633617140619355017282850237223299794563513451173542921939735934675119958321967311825099740996751300476203799525246388185255789684513756641245399816748694365482270780356228277329008443420579551529521257010476079958185496496566040431867467214661565888670524032097089540633653621347160795224985509151722193219587159486437333578361573411778903466929398761865997073055151451181879215131560202531586942104402244470538710477685995200367732839319753801901456424179518241471512902283370037377552804127462592481711091885452014364930268847829363647982998323085571861393498555641808267508172506600971825074984980117593363601154526316809290285146059274080875095897052041126087022634442005119653884126562011192535057743431579753632535922274199559981641163610988558508193635242777666705285404593987955747940993565161026866097070563272526927609888432785362542119372981194265256578242676152702642866018181212684064804238513865416679898139559233462629216014640734393274964870137903875172035639654586031024045421681722147796822496054886664379900508343429531820909291006937964615389419948187434923914708625094974116816820495209268863889875022540005808358927040086774699499842024010750126051075845034783659218030386531552496393937221519621537647460411474662990151526870434791788751148884128584543759601768492147142695494004933186559065495613651676522145336903030176128955603787790920714164793028969557040499795424623365787554611575203473450535415545494361
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 16 of the certificate chain of a 3,757-digit prime (404 intermediate primes).

Certified number3,757-digit prime
Certificatedownload
Certificate chainshow step 16 of 404

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004834347397 --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":1100000004834347397},"decimal":true,"detail":2}}'