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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 #1100000004825873726 4,051 digits created 2023-10-24

Value

1854733189690969947421262280853694858645953107752177666131703733634618639614219688544400038631289995895373163627153282935281466182167299689054867849149864196967914787203340528802569686215486307737234497912281608624471295404517154597578625265277158062968812934391120689544296774317224222323217161565101040113862954945948765969352915055143640682424628612376572949971484742673532115855659811908195702244617323976990200282464377626545739552217413598228575967196686823469712734489659042024389816910041555568183912864287049372533226655954476723908373124528729919294813826294114267893222747158327952380257811931935400114211214170568870714254043550319212511877699309538795296974355396179762076823656868268678718622912426981666285655749470439916629787927699495539704024045090910434398792536090383255805874072699762000123336716856862479171532068943792254782375099338734924078449204964308639826756376225533303465837230187758027175576277232691673929593032171574982772478366507480791307646151984379247807804762570138755664924319853696693448492903075608242302151051628679498068098717561602982578758720164470682563093787190463315416610845156176169600650999797614663891819567181025752766988585959821518579332867573871160388316637429044215391523457362696842910194626547500774830826732920530611518904364227042999029589939705960910311838126025701414799666102405055234040212785715678667536674672395655632064877395353775299185874427118169523991482865229283987595783187954003087629595303614103574827452912252008638243218153762013892976490501951846653618712590081404500548893351022507996776917219592226309068684958768212688109321380749389804191728500891408533744805966788358832343497126518382962410695941096138771631346564576444741307187432532703871292638134728461001357405947899443734540928080398478985439513545816232536904272996943793618637841075323254215212911016867117322206389334258530765981080845274451078519790687638707924924882654711026959630418274860670915482339039285194101390264198618320774900756818090951689702887686057972963900031621881987627879801204727934334288715963691417397340893682156202057444010465027475788261234404855294151356447857610351370436297137670713303264744937763588369335111357902094001658184441281603473374460514766495116097937222254923796841508509301447927159440282270349910811462282459927478295629224512159508199415622399675969507785407401204828196805687620307932402686814523001923692380620500415531420251120300490204623291614903733016273736693135118547870657008984824779393845467213508618392928125659212459038659928103276705978599720852788003041758688625442036560754922693184209386352688002820434888555455861924400316486123356474475153599570376007656034215477507089817195192294575193463357668793486847627666970907619744841855909472774643302345037032751712240777664512565445413218157856696248147948993464226529237366227149549572981158501349603333493588964986553275229995414560210847119080961998571172335015822520465083299677482759425561154733625967941787165354889866025111641614662939563998042777271054997384591166117194006681030104944223476037167338867248411716271571933682019548536345229254173362295013092828766764028396576626172122025171484258519696640971618872592839640549052162050723526286865531564068515421681591435643211788696918691794099459808212971644270679418186280995760962307288454606908671293566266729455950714503227543043945011199574532273776491918520241588216814302630212300184202900322692785507842817009428629911860841306751576452571478996667618972626105016561965889280802852828994954035754512695605047285506294965932635145622931639954805807043364644588770551026473100507048821538813476994903875847668227430306896047770383817516668393851202056019698402738444261635998609623896310338796835376434953241552448433533914951115938235686898010494746081982044357236612722045333667380172595502462836990868866321263875883259627338245123361119147595401813735889984321059429721318795570039506726379344632313985898420569976207317502918703192951583606006705123134492727335416438436104526133008789028466636795060916436203468194042454496291
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 23 of the certificate chain of a 4,303-digit prime (447 intermediate primes).

Certified number4,303-digit prime
Certificatedownload
Certificate chainshow step 23 of 447

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004825873726 --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":1100000004825873726},"decimal":true,"detail":2}}'