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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 #1100000005813184932 3,457 digits created 2024-01-27

Value

3171436594036042384278129008223965844555686852013989681070010557411918718362164129674153434587590539871209516333538115662392745190878015535728970848208080927521504601572382009157658712592120661842885462474148905115826348312435869389134794669522001296616094670011684212114102898210017642707939688847027972509600589570632942672046004070973533431979047482667920447594156472782160054050698242229130948136001520291373281452707090088833310334134056453868328471629136680228089195036289459463340838354656767681959164350776758098968220126376361704222508341974604150919173191527449272145325771945620488892328506134071745074304688342751041316454174785874214926450252353250638376176349835191514478156355276880727616471246271541748148155949092130747646485285248863650831968527877263454088094089035946831697394125994310141580095765801353569998454663266426244053649400579238250215304611322912057860373457785216287739547619906950828282134570191381873288958100266698284738421155566754912322379434752450913200186150230349360658365688950525723117481304917104015727820587254612604047108259724581652350903380175253429137938495004452173363558353413695816133022248471815406117130073029775544973882031968400002182975308248380578485482561145529735023978506121567684278878308094790930442903786339281543311477735497404425120703271879636224934752218881576422143088454768813897499918075754320605516297822136641531545898998790127993881855945693319142866411789468301001248478074020682053643746700488117753406134196910355079663348550501094947135626150913711624582892405575140427393052194437712149198943898188820289713041174366866130865573675578908888684473932901555959798798265407425913630278950572396717500296917437878572063596277636862907003881548483752619905963357900215015041299674364760450622984867719174747735689850100668968139492493685160073579896169448706366593555088389502094557567588224176445186272760238667678858291827732936067810877172343607599625519812228743911483365413714474320051773989779914116481231845258431211381884534774530393731667346339483052578419409280636509864908763496703782321171449026173180871218273452755356510641687512902203314274947151415452799749209943670717355112253647618929935927359721615063131430516138412428061918162681932402959753222738311459963892460818298667834513898799061764908242794301723319663369247781271387480711408046466056272321987825877316805839311896923174318688394252502829646726901954266387985782325943082631002576238749364354439707822088185174571435645958608955049058836664417633558265812336402269669815258133551404393210297015694685457554768108973897150806374814509153817555098697221848060694057988677161738107799645327190823116789040345998232753118564117557072076429042518552662408600840790545366539269801424039983852380286990552296117935095872063647731221589223250452607852369874595105224183272802792237784522802950240005894212556532783897244153156072501710321897365310246817728391951460474540972144162693749922029596214684528010955142885250208164685325213054149985901798759381110920427803851651893838942982168884601788397752897404509038490438449899580322697284548530814739577356848637295574145869881186812561277812016791983076488650508396633197989508135785961979936092139931439752136269027408503726400382055547655282716112378726233141194574180681285087937522630462483594865199384196485098376343925887916639341807728974145538555921297713541020378895893201315989249353757937215283560582290386068049297554226468601724340757811625830223
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 7 of the certificate chain of a 3,553-digit prime (182 intermediate primes).

Certified number3,553-digit prime
Certificatedownload
Certificate chainshow step 7 of 182

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005813184932 --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":1100000005813184932},"decimal":true,"detail":2}}'