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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 #1100000004853867540 2,686 digits created 2023-10-24

Value

2313093443178957781722270286173566898041884234049576701962573047867488761665932568996584909698905882891643207466535874089822410475596224095861605408930002823608755683273831388363136814079933190527019455365454647299495718576779826588219025366219090925102979636559085672226956647432449236668909627277091594121142856514840609186059280377342426951764387790596294916281177957401098858540302200199463820141880773969212171904907061444735811907580275926431433820171733348028046258775981940311223102036987622661241445929226852003960037820300041127161909923332915139810317554335193121238882373813420423149087407388041764000187813154449269698539820716937372273945665467021752603429768834745223055966698204269155875339570824704417086554169994773762243490491031394093821453711995214263120730939744535632049114182354626494974871659102804338841635873731437398834296002341331185780908027577825315619023467072379006686436056808050221461646499367402313688522867433082385469797524936497811278879773721517208672062112303584393000394406874118214685690593838855900085403580347504196085932874496523405203684328055593952928764352401827015322155347744662926115490094648422668004513505730953744505432383854115894026271380170426300745251732525224545880365996182497829004147138709865897947863202521515899788086806046674502461959337295479751576573666918087109687969942667745207099913190296381301527350977575436657346699135324800747915607667611139169471838183332249125074704663627336428896716398899797979518653367905604594622161918513529193945878939918201788563583707901458319515162688001828171348193484539818233958523634586204024580094010605174260956473436402247916784495005022685682720593211041808256650807569360687918009320997112785916827220865017531641237051411158298603740803528238699607546945149497533324611784782608354836161332637587327216712925888975503507329472288273632373914051886497599635149970024083297021528009922022081319559260685853636558172696778484920015528639507342470755070064280952492580986906581839343701925239286123358774301202292770496630268745766597790941507162849672130756570779180313542321624620088052141818454735850387134315563591573005284735192919474629413986259348390897814045484517843157894535965041597372888025949165064212392820409783012731518216686923561824190028594287401645164581105810166283078565554602180143586395649355527664571701876036597781901793478183976218075848836583610660989456582776724951882994623610033238134140492883312265731669070167927473372335763560747665938751407455297944787078976145463370975017188988558694262748084362353657730818914820273077215514965203460446528729179440825977307798091063380383681713360581607472329105289412018134907760330552744323211064036219
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 29 of the certificate chain of a 3,109-digit prime (224 intermediate primes).

Certified number3,109-digit prime
Certificatedownload
Certificate chainshow step 29 of 224

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004853867540 --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":1100000004853867540},"decimal":true,"detail":2}}'