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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 #1100000004813709503 5,202 digits created 2023-10-24

Value

167028315400056413231056466953106757919872302759941352528125704069763208321554790296993295505987720281287257359426112560763995394124194328062622090912830543309603930326965509264983265895168831543102438468587983759312070870915082069891783909681603589941016277198104001297246177941540474222867401662577752290978622338128514856873386596214437676198812746394213230974503752656822733075708636591795868528913943256480880183519729213497075303161515297393499309538705172202131697259399745103521842984935548068094227423052183440062574998941670657883854229597493784007370074269104604124603450217640961571126211605311947947001727150865104737417781338178179405724256944122626542952351696838463635710359327600217988956905135652660869570276887677010948337271193671648414987569748041356327198207949893326347989542518102847876791395326796255083423256845396061497684705747998785585787185205531177815830468181101445533101908886692383702673741889171482285585946389733975670507423716211187307094483067216731936138833058443362392073560670196233699464861390542892582319878606698697334379135920084470823941229694090940636542894766127648244090708248359301046641561527934013085853919355241508901331231214352775547638537523896960431282629387848133673600404951174760047453314770720053446586233313703910073872618693627959091234724066734298782686290406639536209108183141875503525040525719099494514703026367720526482005793714803833181957180412690427173457010386052546581861694189076216257331723753244009171864993730418475125838325213492506470888285213282766089707318321055324027759173303460782920829358663954494031552303481947202331330681562067065045450423153647695602354387913506230165276978230003636528087090617172690367280291700699499076059119526332932272304650560356341525470076966908382291682941950261960221358347053391072709812112662145645118663614709143805883560617266655549409093227334513419455558472255913204375652234178607814951231091836876866229145258784636171777435177765267916294963805115104831144757200995051572920102220657033295097494851163774784120563777177530109529365605403950384617827061099741123853200494829656225286782466936519748140116701676852643983855396854737656801761634205358381460765586122396121973457329970076941289677586094859477997255723671466454858477294876420228722371929091903408383729757532158131053047374128896545127507223132548162819565856699390756724209382305688385904776923327555921815593846940484195107318022484961124162172642041830616665346155244533464587223031603911632192720489408065774287615601772393394101975728086385186291578100145706993275312718635837895009896414851052089266126485406765543788183532337379528097642532814780296467452091785362514980869211115281842541706244752690365267101243743337718103448887117656416239747243692177219717350276791934178313199229036133548842523038210824409254518582376890243873459112539952836468053283220450914404941957068515427730743151717846666277099809700071570291097246666032175171665423252284297463947564970082004388564434388005695067026758076859490440142334982029433215111719230769377608642031322863615717714726062021852079164785484865859415505216861282336025666507049281971896765636704307516446676095347828551280962581173040253029323172261041733313002431496325838634775880713359160538140530781226701304894579576315581346718866821632347706823419291117331978437881367591803935247277808301182445074974230430871828443324001153423178774406504706052710500539754285067685192327457754054931230958226106964188737597230122053948008520785173040937948551331070361754480100719466434638654402351772700717297434133712276219241043433856212607732640761406368135819884090613604665846039120101103942224331112374856573478558307041039974554486650175873999922561188712314036476014398926962467028467871661187701693633370501898048393582256520589036569993363345086855868994654584428714624156293396843132312829058343874198311077788200335567154558604037213653597659131276893463461076920194016393797658037556185931400016356895788575897862654279573471953341377498387923196957922111134159868957624906375556543809422617749851697345733912715615948695426558140452170202229620624379269561051843240585451457513233843182968078494333428633102756368008366449210984692540242235226285879057221770310462844889214888745904297008407037978989158928367626015886503978893628093889886350205120785934403082998708194412712297731931541433203454719961110740454006497565535206497846695888422999366722652686196832218433784035463844834343707339293967087972815068577010727854012896330813522694414411364581992281320965506473059031255513553866440693062812785447723351257701436874724549146031779479027145044663856952900534035128175070362334182386094605974084165801520266868237353332685222869611777312081874736250088728169203595076042178643622919325147118125257543372455017120929060960647091859349798923868424397300200202963429830921928830587129609226225960520840916804807570546940958995405536816689226655829158383189998913604302041401055708527611055200548841093326051307932465506776725624110379495589515565390673432753445911944861546252506391320564334988031733477115272918721910637915849750026666530657062665896079530524563855647927653900866875737104379475967861354307601492046396273290899912610985715501
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 86 of the certificate chain of a 6,162-digit prime (632 intermediate primes).

Certified number6,162-digit prime
Certificatedownload
Certificate chainshow step 86 of 632

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813709503 --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":1100000004813709503},"decimal":true,"detail":2}}'