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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 #1100000004826572004 4,145 digits created 2023-10-24

Value

20042111946121732566453433386378800663961110604309891736563577197684259822649240338917351992465047209653061903592220381053767328809582871190021096905154771072248217004863970182176046734358586207664776609424305657393510104352117137849753750557729656077959544947876269952690859728877176307868868501415764127042124731392878102260794323584654113284969191675070146360461725424814496653608597207009858713718305175667640080182763124243521358025752821415287134204202829096021957228075763100368025372781385869147333531229563645058259826107104112682948815624982464291463960700537041103049580886580047438382721847648759184952912217718558745098702557048895311692423667068207365315532062880461905743470444619787183840539191613869707229058530474207647523668281756864977949544597553778904817983186179884572691616097423949367976409395744390783797220033979306250803973704133648022527276812642490924782425847478750513541406090059840343352487873342065860920126829174139194539210312344683598526781657064793495436415271622376221958347443600796932444352139076121717560993092427809765279012018655638004119390841458841111844895924834080836134513968139620890415746632288612341892732509589374980409005858044366482710338200552494022152639337824032370336243666451140560109044230486669046983266906060111370950884755999902857548376157292549588252852011471458231691746503670931254897484253157829589638737516161731387795756881162086375908935388869858332229468516994836595527567563215681035484846152686768606303040091180795705552129601946242698258129126662561520504613489046256782630133631091852068192883137338999583403879502287466938722364475703675021136371298664745890436703516088554475507991421386138316705236398644295319755068873456533228130354498198595658563660275237328714564037413740563575348042997929884282724086252300582460283358770320971249814800330898825607305104283105427102737516690259387843972910629918956396427598846546846238257266633007241926701876140253076467180616415000634381905267273994802497263200079692542372601826192465464269691683856865720839705504282209807814798616477000932205395610634128302198583095119178648565915978569093525071116576590712324135034458217168869081101912190199564792337309089708688565261932953962723459678102657352810431802609643963083813888098199172606263192144088998825305308623080629842533349398438691667158832793636999224930267569815066758971044170126253792239058846488540540574930433004905304049274346687960232081008767878530682976958936917588745952628206689777319643399157124393845918972653752709610982817052477368116644236098384822086279475235288296692190037781837731834221943344715975266152087503990878093184798254132550819755238102812282156385937046589756471319913189366393154552552960389375494162853398663568400062025723318412908059471696451308075420912544254016002853962667543111460314766706699634153464888654515050087517833615582460744532692937284624470582004454078549626818305692514604057255230694349054208566719057264251990015046804107085633022139906531325128142889156869355894687355857413393993778187321426126411906749444572447545279633574357987852515560357830732005008169100609088404602181721689368003849184015566995707960577046998769610206852697830202116421378761332275544405051458157969079081170453178131662775122248989230806422808573273125291998053416778296186411686603152867433900274802094909488998794543838886374134551459684026895548734387134738237369337853949026290758459869593263288379397385243218667983152601934097391483555611886304627661592695886896649791575745281004624243077850178253895052126502231524241724751877806112033800708754738510201767695224963712822776210119814427710048851445819361933494198440764038687124957089285072140421435128507902359393558946593367188859695177179784308872020049242146344428258935604311847891382631769785273768063004344200849105302886092648676807464488286724806207395320913672409066945279653967390430995836552813546563632192513772323536934977794174819216205562392080771063298635991744355697911072944038683008459958148334585109618074312036280777191097284582836311872273475009887825407757588950725533654203685591381197301980728794766150862506232045418623031382995354439024047877
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 9 of the certificate chain of a 4,222-digit prime (448 intermediate primes).

Certified number4,222-digit prime
Certificatedownload
Certificate chainshow step 9 of 448

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004826572004 --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":1100000004826572004},"decimal":true,"detail":2}}'