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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 #1100000004814213571 5,652 digits created 2023-10-24

Value

168699483609923621515785767015686488499136033161500053126547052546589944156447140312035264893910265031773026247524381708092269255504537584221403451452259532001501644599325357604578450647460662233160382883402385859600585561509113833144679341626908640154511269188743883981177932949086169585785352048218258188635466955649533564141948908486388225853726305300091815004057769093142591748244279830437294102313867182605308304560650754076885445356833454179016782737429241493846610080713372521823750840778214054401554633922143255761174824688336522990563347310230801952643630872718429293106471398368148622161616158889473825809999256053656040679104599619378784450447984112906982066064339992122204624420353471074432118803667941452441926798778339221363697038943298330098738778986128001368690308093041835592581694609955080479326328327298944509250555977126260622170675269844279661466961723802378087130209769816205388379537807506460442647585605788853831880973303521940838393474812404986478168030875785412601230390841267093458749541871326810748834002323806834747561473198962068346150757443031221268222262014364818789502378475832688990783084548966255725471061686119299909908909958360889825431997304297410858010312954395217445282438564490293152140705115216387346357891278764966185905179402459835253881694721880482943771310704121901052751958177425443107959131790781003944710303062040105418971089131251901260771420932084399844743163627518179858845940043055908199226120056865969750666672458003636700015811624520855990722599969016255989863622778927485116837141096777536907396930233136299774193740076077192248781363932711893790969247243405467443311552680830126624480232086868598721709958729921971876969002739410668648366961365769317781744877936109863161474105904731316817409113744565971733348824970754673766015823757953829829298032353757179319542384929028076472087957187724090874496252597534452427556479055993989175059294439212225752212861210256766388829663411151934187044489197472962207327403778990828842985095207919864288891484631890296187355793333337367945659415885148439315021260274340731639711356545210650469947813826707038076057801271579502939872929994001040708379050963254347832134019526379781875699373343447396809948923687793516974075559285261076941997572955493169048326900588481460317002349440654862911899431436431632801796013425353541109535394526550466498213408084283667925434889518601124863528552342372382795094312546079440919576526546272154009454616915953566930038486731859646640384347445716824439824794193684989808797744546820880524893755660674481565799162660098802804886594434814587904698615588577815523725546463532162302747614601642226606679551227929303579413776753026239145979062745119547443635639320341676727165731108600400655791471888933220823861758271291291038965307427005161707743764348710037107191727272156291842239706889120163583779922740690935425910921717283970009829977834522836075708580775531935308915250226008041484930889205343765206500385083244682548947243214801666641217963095419878202461188080792479913918710769316836522959863621299950912029917069726592671338753803705609852632889980189555445210362396937748639887009046341748381155479822696989533041061903441355372801053307496507076833754127408588492350823331457496622619402782729708017027357096532686315293151965472601189672032940010769851321594220098826899444270072842622613689186457144101788884973943895170670216589482505731142631960927156418014989873697112428889423401676531497450225940674777427896632850055042408119371068843509940277780726371371545737390595685499794769706797301147369825059223059432306124718819333584581681336531361288171430514193439662995472201277712723132191425302659046410981847969538721507820667921887277015343891188097874218889626658684782663252975764180288690675699104278407761253733204114722152627775651555741958893672793671174204837711004335514457269588186995474059642376105487767853498215220491443698095148094494872048355930179221475808026629757782578152394705131542645713761643382972561044072610219856879572877037962838490847324674087302215281130177144975797991127607111367461228009610644091075191638535676082757123599714033672164488717751743199490635038426874176107084080464836848719496623319150502662599776985243260405188955630226053839051822767982240805523663709963144410757247428591935197898012302345869097653821201993216393799362873820607935185959980965199599194902784738309342991373000874241550513662041403416930053277308038846455162082592540582122544396469274411539328274083565859573915909433242309748816922528843447748895573129982232481969958521507387114445777071772734498619152614119444884021352856390081915828422778075622826963467346164715522860242922372588409241186654889980359359767871888191266163675248013127436788983149449005125710265818148514517360176133270947490478990754118098320630411506931466773442352975455702872836526327029404843997638458471577677371953648720182584693470352982467239137218703080913726528517635811805159861715005473522472387588022157100196522180873206158148055541900560609030449198865355882997498750968608096879816551283734412183868574018446652805059183097914158867043258013732045153272662474520177985798705570711355812976333370208979919435324603615289575622626673347351491981516645025005636114875906078479983843034194706647690383501268175379714670049969494609413968949508065096102831238855124278668136810352150091869043533549768253417812522852781839345221209639627522542758940227649210391570385266787227684485804268356765971314081709898168659038437749496867349317368012186375555612575662637424984557553831050262288743500913023109681858360730864425290996368228484962646275431872123554053013506018680970450197874656647074910523907
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 24 of the certificate chain of a 5,837-digit prime (808 intermediate primes).

Certified number5,837-digit prime
Certificatedownload
Certificate chainshow step 24 of 808

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004814213571 --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":1100000004814213571},"decimal":true,"detail":2}}'