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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 #1100000004818443093 4,288 digits created 2023-10-24

Value

5537031520482746160326212406280747995043782695515407464476769117852625040278418266777280038302438864216146662792310882681608066083042320559906295194210887300711504511852790610485857279889356389879468868043916198873228859104099757399838917126993458374949231974041630791879701515534668272517048761188529468284526238256199040207603102871709159398195925455497710292660348672703730869479315379273376408118047786100092327195649710815890425008618213600540779200988651551013744819726605461068719636032006969363749249150234969736094060130676963968800616927972091539366410777318336481274135873976417822971428386917825691553332672592790903021085525268261469983601631569159506683344970821386530868841592868420770449413983245009328074714475044052638936515779369158939646999903448363960806847824413893422505614497318980749845207079319382975058953109110400466377764541816323582745205485304757025031188465788745532199858017823106292449560772702587382820478344476177421072143173568034743164814284800712714824280180685496967095219247369106298123679867185313770232566522598799117814053982938802282750280240213003866438092708183705522185935317876002314245326580677064151720802801404959055388144513230791179963438870698893065199640972084593110574654058383855210072762079227407265948379043360552515914269823404995734227165392167770683480878331682889484673832439353994545251607408207231482234322298238728899769738630356611723213604911319256640666859466510728138312359502542390068934655796441999357129258039701118691967877988593612978959165477349229661269696392080062548785169839411794026690278664750396600161355569594481478372748385547269106873346562978800749648440112467479521864320564516938837710513984669175014092093274574770832861588285517527498310320773695605190579787480080920851526458984571290507759564282998303579399881356828428278342985976795306040465688056087405329359632964545887065099130545858651211326249581319089732197744667660046903101072894046581642689877749144952414812636858063666358383593629687733251585517845647878670052447359900494067772243590027398402422427470076745171698557482583524316555044782505685288302895610243963408077667642541986927078017360070965498609759570128296946151066090323505774900558160325787751961171559188484613515321198180792003802625882597050623518555717558892749328107602503570579942250374025689227470333771324988196596778319207846931110543231750450028635890651869328785606487288351685570631139723227412070313226747593306367139666266023157172712241780266502631860624495016163661179745987536086212162639969517230919181044332426738409838784048235155665052314261992878122805028906547216373961533065904136366773012637485757401183696073196203674300301157407871084748092266234093527796023830616563077016202679713478526635788369395990882699955139687731566028271055559072081238060572817486705319168026909423523248513420684021502361614410605039952362198165470659101043171907515929241199176088198428314757214253874589667237307149831391072321846404574013397426417854576204866221599683109943652297776009521380616395684528086943491179732616638404777324476787801923345413016038736815897427210589951099357097661835273652759641084051441985364679757199942019694763431635870430288874884353095190208954448965195397374042541602667840196474337478945783671546683863501930977374626852606294097049471991880737024988133768923388572720779300823222265825995696978042332695686767834638947612671640537103960762438905351012240631241429841367145061710878028901700648858841102858053197894661550850497644772579936527079945728198537745360480056369176218675955568742460412477305994889216239841049636675107189961780069362155004632577340764048186049132872705063648408759588102358133480683105661006595183105795352918590104936375658507108996716833501081092877993117891929535958486815505048580834185716596821614547051242070992157574802522337934342912458964566522057509290448482723271868634657000764912741929592511702084704657382181195538689130767469300677712357898791676959698030967286209341756481082570116952556085577628587456352061347600977594556413497872453084409415936301441433168640471452279828933653251659570530722524396573417177272137584603381747320895430303388912566782223144020418880646222227183715780612384006811740617434728883146479890949110230509970511878782926768790867842053947906328146772061
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 71 of the certificate chain of a 5,094-digit prime (525 intermediate primes).

Certified number5,094-digit prime
Certificatedownload
Certificate chainshow step 71 of 525

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004818443093 --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":1100000004818443093},"decimal":true,"detail":2}}'