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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 #1100000005814643400 3,263 digits created 2024-01-27

Value

52609477103343949163462431643089549967921750501996768720859908212917474345136788062566734970617972027945453618944826994496630265092984734175488746543274148006920895214453542588133731132700992907924354518124728663098836995217844798883661803878414687147257943358968889648738029330556377705992381758662136298561212529014004401805569733843691858600596003817723333675880176539694742791267938849388991086421060603777001769226709239607872724211216464970438225748558353423021985103692084475025900663101453558952635895670591265996541107566113356489860733647596558992611429000234549665931408876316909455574450529488194243994769847364552952244911053769547707266252881752071782602608263160310433675703431834044586141439334387995722270109784326538190411143292311036631094438394671609867289793858960168416380822083482930070697499209941148114283631695871618072910846768123825363492060934672577118453516641143863351299330717369285186433831591355556977022727146127909945577842348768751100179522671501557561978987011810725577176172049184995696138732462831598280287629883806716472874104902379243462952582601055288824610580685758707964201403005594613429177428110962551644769026194643315843856848533765067428856371609095760885722826783978486549324928138218382377113799103957454082205637550360795133661014196259948328102084738612153927229335130420069070632005174109141502525017608297393813345317368451989618221758290398652951318461722610499998998608619349464029479945647943985590069931694573215160726053333280497662675222451447641933806778470093123430306449408313869545204378521247552311294623830826600136789800393244815397823956860313798552350200142263866482440926051629361776020606811389547462107187751754189412216392308483573937438008348071463005137559599024818344337615297428508684837553175482941763515517153754061573790662033470591622832988576843784502182336915828121541640768606185292077663491579439210429719527561019661047990673223192894807446441070707105976626485279497711029782341499585428311627266989956991320264278316693192583299909614224782132893614294768461912149301928357965306574894158227958129171863491793060496050519032195633986541603566848850066351104852131390777202471495963108451827836367454936375637557632900466952941066798463161997402860664128327404272761259269008493186654202571736444775078870826336558754070558942594374580842527400461065434171937048288805518422695974912275980802011867745559771608578881071856310405889600698475104628978881471910869861061056426974580159101507133118815054006349010358250210000350833419747567090602256903547552021449449655224005379579617178717711322251919520407656302767303550352342310252432334896040104508821795774451982448757630994402972535553526542045915952450391752703671111223246083103825956659513622469293564247495622311124709450294902177204926137114405663387360401074928250134240262833516516793351648772517056910804467021891233788213293385318628630291727876601418532859626169177629039885632540593440272596375182680274317666424688825125441181404953864219935658499545337662033490913491108382888994392454685544239535604218982355007352226907787024421557182530615750412476935828445131350305438779792017143679582751330262268703369671405834163475490540420600118734688855353714882539445778572080471905114357574078531419517960161137
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 73 of the certificate chain of a 4,367-digit prime (247 intermediate primes).

Certified number4,367-digit prime
Certificatedownload
Certificate chainshow step 73 of 247

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005814643400 --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":1100000005814643400},"decimal":true,"detail":2}}'