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 #1100000008668726138 5,607 digits created 2026-03-06

Value

45817419915632394765971521782581720094659867242667981006119946028894516606882636744304623464139607798632208616364987046867003818373026497190654789164390345769102921346614971761595183738174804394289912431790014954373341777069773960487660476270343487910165217307143409307488876301977474643116325052288247797615695394765166866915150735489998582437785781334860509056183594283899071856011287516279475549746992267379558771251655073267637002545893355427561314208764069196907347713964908982452498739575928311769245513435993373176660094585832361263250035882287558653973817512217257899914138703577938909116733535260696970260310493141794933660543488763235064474231367148652406057045290236867996050583887112415844915198486553410363908265242703076046892430397153714482799920022697909335321176747937717406186440376844496232748523514605655099666096037847054812343239932781385936482772009843766357633532865403162080568105137323708188283249066706311171371121856993768204728196215668325117503338177124500061600379794484921255487792128724300055427101597772907746546123807197101169900720712531753996063312530342392016331915652327260128728555027826500263029378839428871672110512856827844213297347712216807747638193890866532146551789244317535443356887436191060220730267039224242412939591026992149590975040735811708976519478944410168277345338898556253531057361559340660165303301486591251159818093210146829516469347479169638785371668495533473972297268974412055612538831110312559479910911165344194575875216007848169026481818483339459898463864628108125247736944546304568364736811221242633427005835798334230541991786167777105694206757878768586678858610921056131897803183019686970279055938074560037972386755976308185672925407399317514758309310502908803252725067073378922103236582183326427892857710290079584974104312268929988008414236549367027717091412540972183143138878621057826785984011434115327517810766207049111881777833269969581652916778459959025501019020575840385188977643001349789920798377231989077198101843531046475056254517611144182284320001725899399798899707707257426155032807105362665697691622160191402600094299976541380754675902666590565062798488485433213002300432934492660270532615723604783357474479987639913140247173957278365076255079565985062430746621699230314794712589919746179928302848983992636374979784372242892554294467412848315187187447385791090798884979103130817675115067538021866647265436355307706937952153161733186030195203595360790114895304053092883101136896074212741664635597277364046749654096984484796875546388320082008396533294030623994186530100095697832529931277846504154514869171896666534709995191996687720270261871788508934978333319511269320981303827361317055748507405124220726031746655096526120670054768013519531442032167316058338581569256245965448180411055067832722264655137172701895081132604667994683269574197812745549645107879903337091721429999465734298199391819105218873402794287557039173091830303688556264706769508586486926594749966940189035971258178359351629104585098834706239072840192111216308010839201509994692478497521420237125347350734727994020260977032353283236039549443005935717771153458194010552719547765078605392737371895774093422732753373696324016083785474829189596648138188293443910164158310521400140881800786153998049264765544411402960087222691011130188960366634944594780061178065951146928297405586567899258010449775032162608708443619750174185494750519669690611796737755165721332750348032932454884027893438063434474772061027778609167383824086331424647742354832546371515858592790118812441099091567691018043811611275487789122220501016396244993062799247776520725298415307221448788596946239113152236432068479736565219644135135722164785370820232683199421765170425804590566978980945301748409205690479585714279039307304833630062339797610720470610591230951418404895896014488504130337677373219954349118020195784220590696790508961489224421202980382518757681857018243883938903956110233055724751402391057934712045746475927999308415483809004380268234566000719296390006667829101091169291443935524281828862512162609229782510519081121950880187762614002978461640512477212406383863915721831985895918175668739244088894969012821095691818823404713169740196680167354490781300286750530526258064596007331770115041336096926676595059982800947866009840020215080880137496556453830676539646261904015944525783058115424544101473558548549650269715243401634585450637157210733235530319831611239480251059288918298742467216436128603285863756571031912275172788816917794756967929711325921620414277521168136845333306224361424159270198565126544126008920401181405349868656894578194585272627381400880116973173162404239973669233721034457160861555523960808128706348714720187294841176146409898818767315044184504790961716921787620955600330756876072102495884411157237821885468632291598872464175018554502388020510428455606492887233508941931816368470863072712348412769929816982412234629451714520229534610560807271725074221573540999912588186137414625933053250933450797350017635618255494818826027480975245532362369792043352504481508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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 99 of the certificate chain of a 6,995-digit prime (463 intermediate primes).

Certified number6,995-digit prime
Certificatedownload
Certificate chainshow step 99 of 463

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008668726138 --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":1100000008668726138},"decimal":true,"detail":2}}'