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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 #1100000004816345038 4,542 digits created 2023-10-24

Value

614216731734565481309822423524263550560403918579587478253122991591606484423666599714492556972914491298151388179514992024285097699727266775276067249106105453200178444346444022981862549469626026812393617435270377243445238131219806907941777400047526608941886069183844819748356229934023284524262272419491354032346371725372181634173181224917084073089928018468102519327716340120307709250709764739814212798230557731268871975678592293763579297917225154456394284213112642998525243577132284696924458320613221510823416121629551034250618695467966959416879857043556923413672430283996927851918818180968509723035036608522346665064089304925388494601174978340460816707951947283327130234992262075237303540050649512895768311255460354407303011098441108716536334046915376160630567828924018472021798847489437175204715998875240815076221828414236230906465870409756131300940991648176743519303078234080308196912896102799929195633263910177935053717111561463564320289513395461866289073987867258460242550775562135127353794490384014147373342525594461978621639549394760240604521760762180937429432534333921178575709881532919974713493427032232601824609917498048524918617582780323898246940883925214432245345974545587659201422348898396623533983108084322842856665963900022655446253017944439854472737026291206053460790436345131004294744689986552788334626283840975551508912035809939091693552752075395613574032893744784482919357878375374633155755046892186674100410695632696844032508698507228588970431352229827448191188295353209795753041443712355186065943214818877619944857551324356908082837405832183830626143703898543725437161818399737525235854965532309820902188512674851231361596748661147006481979248386070419228986796526334408123898258164921835577125160367978226025448641437133984630839678315037585388863340823341440579450213851664761466568713615100365210357673976341760621495782154489199692994204031711224237547047225461112901575898735500625810225231413434081486238377595905128644778016293899686311812938691202403773277630995673446091398183151876809981841362844515074905404700817485843481603726528455379049147600413368536048813160311287415253044982171992577299288638946432524039554506706566223039699121310068945790508848939455526715444080256401895048670313232308834556393199612279541126751849260896067597643748804250215728147613722765813111663815236742997543595616626817747760807867616456529612460035955306450357330646458947119931540486034251906486183128288575032013152515939149714271983895221066997295266256845260499605822406030760546348636492100809409694286847893721109900982256134391229084022352253212526804298857152329723473123074427247734235149185521157601370087493776265544635566989127332077001506748212406606878664074334823975663654912472906331657835679934159133550914137086274592143726257733412547873860875081490588259231617780602991030128591150300459456120767447735716561991321895504966170059923825250984797177826880673713736047855673349367218573645787051621625735555094620418053596443748751120644732126415244596736737641899830281720527276233416661756542826689374534112816450276857602557330516405064385842177907287945946033441006736027013155639146630208964470976811196702314660824501515884005607766863418798074527975500197128080370976518623821001416759328656063576893463354797509484359274255211066293979095995841749572005532003894063189661943735397853861248646367680344669456734478890639446699924864854805464754659283427263665198831206904152480324454412198608362170277251666072641098123557086070703319620420496357966509821507971667516332665801374114523585641673410805189143470435699100773198325046275562457483013511890997641057932818400246203631559241351002933872892780862245287760290445781948686554902687807323953621691690807828382107616613462282493966111584375244732405781656786153254941643581134265693574127140991279620749040018674849383584973469598878150200499136461744107574783908013630308050272130046487879211866076644103915041744182804992252771854562583345756615687349499062393161397472012812512870205284378353063265166421731553306033743582648495978668744254332618467177693021338497356116838789180726369370847806991247841408351660201234331573314567098127688009530037060884726424683173637639333238859538750547360404748057024883189806945809760346901563812087804780410378422267485187972366789149150119649025250955678697621928304520018490527998238065541612470944176911476969430231061649304005251000965594035188731916602568031987479907392938410216491657365456254120203989372051548234111403436913981805216757063747215447435612045141773606127658568558844471293241056509
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 76 of the certificate chain of a 5,347-digit prime (553 intermediate primes).

Certified number5,347-digit prime
Certificatedownload
Certificate chainshow step 76 of 553

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004816345038 --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":1100000004816345038},"decimal":true,"detail":2}}'