factordbrpc · fdb
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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 #1100000004813709564 5,176 digits created 2023-10-24

Value

4320225416003468135473689485488541562180055470086816215517737434409519063970524434232051986018484451935140479310803159281826893256412678983081725014375757917501422712812711127698905312564844825953001365293394285083474614441039533545146376003120080260461056500322306266557491486251209298580536296277691204026819284216235605829837144817857981239726354693043697943637040522965056922204520191231276449367451987693523326348727597469985622076296465500236241472374974871369481285650922749491985188432650898005021811713912666459459189837535198555725571520223810764020928604224940475015262245808398671230941170085420401746757794045948912150035504546064726169425910693551782874079617162811602562982882861054079637742561875078763456973998505843062112193772901112595352728871624654479969161357705453796456736576021334365332228543495354571729632069750507606458985452455525004458122158392470789673113847558075589858452046874183750189321391156798668703313557212610009020586393771226232995653046639772702254279290152651603785099763442331834521441363044724705370762634597835188614864526814996729013334914710376013016365147462126960579360042608392196462200471368810778008605194835761790208121251098781163643539390848038225967097133470603869162729231500747715488234141957398468290671199339306027628093594934294729327594052458191009794109985386349530789087435535603423936101265861661898521284853631945909889841463036628215226718019570217580261677465177936762097181761462881210705737031607634357980275307148584262201796062110971657176919985515176065016927868108772840982086137703433100303535163769136000966344515958204959831877673276701962790588455264715382336867463426186436353819734274755472263600283910443312300250956178200667250296321766493160984556581442943739509833155224470306151469433432530329704598864446959493596278582196558982920729613754047901293846015527983032907800944331150998598980087721392717196648696977066313977279493757271404489277913849145961225407017291026144447572320568779470707545789681217138440295903898713960162504231051794875880071430872300312158333555981988690380472448984691681581478845801578234800268817228283666016781177499297716469362143264716427177008159344598091176932600510996780739894907119212168452826556176843643401012615460886824123722425865750135970477274664108944107688373291563824880791456055003582770011753981997194464802295753454222598999133783165963470925781766132853328443301705412012567653028729006788304699012632360972803793463613466351146511951880243724154159206132017868007444335748444639248104111879925668767199137304390203677687975696277424761601462331342154702528244330618110317432831310750576664229879890779305655896259706547103680707462984690074333721035604373523900946928525494856111419082854367700208045758082981545934756119354945117125197323520090377551549170709347800192856166609454423439055856596558112447379204159601186796755398299599910048928792726977595896131700817157245836662384313548847380175772980435471009805841016570299136479471195856412149928551682437342118138617383626658662869474203659894467535486585214645895753676366093241288920891091437294772516420107947859803352077268842285957042829435204090043131921538012371794893273639655846335412354506311645754733502521594180026564527649546292027182699933621398846262074427200168701922315955483381310865045295110975459505324549581634282675116728517225016643505254421605928179045550434428427690673236545989867084572906038171468500079684520082985699988592975315674067307515038811123484096020334576880585025712533136371428248345951130331530864883079540200915444156873123016574117712340551901723246097907940484332576024559261578413083583719955601715623983647931181673586736075824004017323274286924236568293843124746402350102876042545033623674185559220192805149357587979485318603353363354382186680186802566518771837366403582810229640776639141955046353411467066811774918128807700774477170976791601396210172847738878333892512269301470377156180742005075883417850131890123912396028049460801584851324501363670847444338818232876593638514602105571554313458947887389453574946285270562658463205734704522370090243362085141660816769128373169797120560822580385127150406470994096066433497581442925050029933691489339695675970032731640744596176801879281439787702069075382501667000298592870703524890180919324300372923434351560845145149568984000435540097213752464597366381990030751362148565160641289695492513301038540933192707357443153211293890262330431724563573812341971404626992334805364461375913911765585344717190169822340382765400505174889024913917313124182177966380926192606488377838058487412664964825286410304707331310868320454336497032197924271936894286617978871428270266869274639018559168974958300444337332871678756397630323766665409119838145128119569911233886749487477776025952247047494715197722008962047863312350706000458453198982889885206188857081052483159796872529081880111354148446325148403778802108497348340022461486205283248518069612626954592292190115165414381230684922001950685663117926852696067885179087231937222494197397074350111954668329834100608516192801733159079162614365963210140201030282824561198535191299708901638730591618678572712626845142127840598890866949448267384956545932519
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 88 of the certificate chain of a 6,162-digit prime (632 intermediate primes).

Certified number6,162-digit prime
Certificatedownload
Certificate chainshow step 88 of 632

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813709564 --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":1100000004813709564},"decimal":true,"detail":2}}'