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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 #1100000008648834746 4,880 digits created 2026-02-28

Value

70504566157490947977493038650652592594521408401674364499605538306915555763062347054139503475953389053182663029589486447831046419750101492555229728651243811440876884806212544095390615430403301723796497708774209548336653382545495614553190929138757686826236801369283398456117070183664995048044324486267286511399218228678484887483225519767698939944581403512698918759455142502104197452059627703144406793356451113703481546734387558132880337482694608944755078278785702457867474167554093002963112509857779897660188645081409480054413932301453143674634868362488193747019635162462793295541345306015369552335296397736050365406010200796774487721696577298316373874742783966813139490810693292895224407130956088611682901341272506422209286721882599421724286546121593451433962804018670654561684207997300576260476638723573282842821125292534131045700729514425747315285311811505714314894695627098726655676198442693065788863670205210746411602480364163780146151777808252405385699980668437580812761752362136249428332185404661333595735507542462815601730738088339656961173481611076272123595128135164919290902898683267826680148766970536450338685033676004385218909046788886445875375797254219253788144520624869659684005108924692143958005355582709692300196190985917830671802036203651235737639304227437719975811376704053531923904185618054761604511157888112897321151108721324546394052809404032865751694958654513917448766051373782869336280147588562517959980080559666712123738712444172728791456790977653612332251275169369147431472575483018220981339663835080295000789175687611008363155748251795289170476849062867177445901924249611106589031480353430112910710600365232849012081406760724115767241157838677459237366313717982971790381421096568646972570637835779862663898868620173468292664678533207408613291618521273113308063808611753926501870567053154396644998644172559515227341534438999836148925158177231974216727534615037096452913772995846632463250010496635670590860682379890325326136537521515890924597942636112797465472417827965834953176483585639092114965382803845037639096432655149001001534690874448443101011566516863784206119170637274633764596240292634118928286897958617916786857769557021227712216737174726290991644102438766124924678774168188582742234323906007935074021623511170299166373113148055392200174113934517310547040614737276096797205045133027348419922860039924440286382943501523847748654869371935350797403745968629544594269367362930880700383823863779336312134481693202636322921631185003379950029780996965975283171661892701079091457090688595338896944050699330713105866692041498096008161330135176831296234825316858314544168393523180687174725851443592830247167003542776408537794715875751745884346402342486577066329729825865702185521873665916652522366812683209856786927266330890927267397246605451671208395406247060615045689312059022989393661837364259816859196748476258672538816085771320732768746090792177007923436579622378366489952982284453920137981949581915069512703767037059451109704220545055677549999659701704519055707506089516063158100826262864901917000428674371031661098894609060443643360504706002034000498888869414459239919643787074908066377581955628738528717839072362830069013259975833316114286949032254877962559953534490952859877684950539198704039180789985592551877086585489489371255063132991519708145696165318413584399280425606145764830091845270497183881829096322030016710877228934787165596668173109741237764090352100687666738890494604734207445066064345658103180021188708701170300488315093006404892821421975959577311102657703276602992485679875272776317505301536223806582929187145931535547603702963562271868057278104413698083078150708697819389877652037975818661113167717398086546535615452220001571744012510838463846626444897308033339265641129414714987787945099444255347473899929527664114651938736490743332195061704131535322332279913396153508111866565226299260171105745626785017263803314563013038629404832586709135816301991104201577477960278862272589976853327450133418487240018840351950643102819194406524650985659783582359347313162760393215544392906201451765943290204074082466207879527002217557355351268255284853419148182054100177159909413038240936279293153837778770634169963046613598849399452791219673497101583704953327938834238294773376952130788877104902531329545659555225114150573984047116725955698407366571820199107785921080477355024104308452019901729650499998325605661618912176532634008858951941995510438259591233409283392487939061802322931264313570468833661997712329800110889660441507813881730477583898112042421667208674629967383819548626544830584754095572232653242329408213944653597462522068181562739656285360798111940540298987748898785553448569254588828892246361312500559707843763520219542860158931664116399098610824604092841377402019729920731211873224735763854471440659345199099822190438121220266112426289978230162668832990033198188529664264570101371333362821598604672888221849760198581112720899
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 86 of the certificate chain of a 5,991-digit prime (388 intermediate primes).

Certified number5,991-digit prime
Certificatedownload
Certificate chainshow step 86 of 388

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008648834746 --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":1100000008648834746},"decimal":true,"detail":2}}'