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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 #1100000004821659638 4,683 digits created 2023-10-24

Value

987677537429363373329390459290539634573651736802900919762547062864219505194111919792615845556034536191862785515143957198866341638729993265007173502089255633118858051570562409485764497124745432508963014637803791837238398663852694658571866556402510399470057311765741760287443848033213840548458465918243017950085689241943678095674023028021966047617176657691842023497701887211628615229298621250387762964077779214159187935393000467324521919554027760578328390618886972864806768010361521549549448468768330470997584060270798784024160496786890043544301650539860087978816232601265360876916330693440326927850975583643204049473819841663127534851317509747275715325265346730125945860517768328867923296213471118312640741197634042815785133342383819635113558811484859748489688456331840618122622919302795657746080022651423382575741134894892572445996714246299648315704106769933496566458458841504742501932056521625049928418671700362603685196504559122182225489118535783537189654198798451724041818557827553765713872836390614007130233047822470437255765532473152679152499367044319290197186575936718976330287439365689906345237242342626162733106795486323951853916008250461622869733151793504630167772811595162232368921966306117382411880681280327584611535453034147509388776752365621538474497441536444228210262523922536924396448669862718235516151290570881583077268257556475210722132859803331912372563297477441057521909132543900128175789074293408950956868027212630640303641720295929117492957595628940062882100564352571948655259638550014638066077808478259199725956777650991371077502282464288744012224233569824624551039181520624024274269165272633565254697205077551363630191510670257639205162531467704101624204967718857979398386192629452770388666430137085929111491164576447586930294973735265195937945610830365686266020652120280133401108749436735876953071356452808221109031144050179971776421020876379413118619262914913225820763037966670704756465795545185113023106890056690446799746887644196128793513555650094482251814087146576987047143432832843099720010514468708410341217983662452678034022068263608130827702114868193304127991017234742340203371547395078260127738888506483155722274221401069955102128979302019715556297086456028462222251629306819801432457664004470697713776443141384636648795668630446977904035844929982900792691023191129188165289158841098526453728010424791595856666424420917569574500731462969500984541638006556233288419108159415561319751104720326361642167508934980670040141953053035394692265104608152696481652641013857249073293800075689275646163702528672554210961104352026831933307772437127028720465194902435457331583819923807046875225006448454044082994810358522181938298790490274296922618400586708128858818372196443189779938401634156215436770042611127134978380408850008012276700538246941143552271030226583746994051668623070249876537663310118619748063884236002418552975443478555930747651457363589189688436296718219901407029780180876926882617989246124965579802287618551904851605459408867406992594700471507131941429455465887864093590841036790036299901760619569456450691265610868487342734549749442821021431968391507560424581677620327707591422743528144152378344076374856151797128850840510386001628987419049460434615100184554062392803164387463465526657942621457957120690154890117657737038782563203287561395077107999166914549218390201904232876424336021900306725352928181301130909528903186449663296924223518721491433392434820073204100051591204776043486922973937190899472926853581690537908209429828663767699396404537457786673745870853369226577314403093789386119107743366859059489824581928915518056117871119591686022700686263874082392435358802984378029115692113115016513612919216046769760857050978480767253387801250347743363780903821191635575866883057752471848080576801588832227992991073153740790006500663810148164493447578627016648265739589282498232706345788245779759779686117423437833955697134997787563716975610799148752320498865610345021617761460941636360828283640330776661559092563148308194316010788368210625070653002703908625642592858249957148103257955489931436306644555550562885517986327730064622464772776206176000496330406634811798903120499620564391260834228880475218790708257723129474009901001771280396809991300974273943611299832456473809391130402721208099198304905309059307032251997300405313170861903023771790645027062614107829201600727319174234838460702572516441064229377309889084384257999538802505704760660170161200087575624372617556654944874420323004060791413946883084302076219875864123129315403636646352028489770643837334929033286890870872572759654270986695431144523073223933303169375845349926509745491007922720523085147444049146765091354402978357908822902894928982698136836029309748197812188179586477
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 6 of the certificate chain of a 4,744-digit prime (510 intermediate primes).

Certified number4,744-digit prime
Certificatedownload
Certificate chainshow step 6 of 510

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004821659638 --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":1100000004821659638},"decimal":true,"detail":2}}'