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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 #1100000007734453138 4,691 digits created 2024-12-27

Value

27072942300120426858938376273710420880258778085350401463574709371812205665606081763454771509481691400598848086418868019566473355927479954725434044064052308297540921683925766312595623456357758928636495391014508295127781916024046464818914110495171528740077544190619410661039693915295981244816595695800774960616293306054264489845915872113703745623936034569216540678358707105328916101847691214010855386054688034210812801986262038162474271037336239118251526927785461297089693019509786961325413542260017824229163602040864831065795566490533395566964300662951928092936732936594238313913379634394441712713342487675688135457342686368608643990159230775226609936378951292252125664108372658583109431261649403581141605086649802584484174291512938360165173261561786865904646080653419147700250457710472043666041304100255967291642602068682021566398501577630047871094044795945414147050966192744245744648167259661901415907671180416017583936158662125455917103187314340147671875653774754263271874288591412160173043143452091507027829109821302573443421269809122330694581613176155867261520569730487115977452256051994119390008317245297057838770951260620560703882885386679947361749686304395648641821672982272946161759229270203072379562471965927439203395247924613833737640972655994131432868644416974063369077299370951505470513789445480389524801978408828255261228332746535848070110267385364039460147665988009591339645684635720116107898387968156083632856066942043171620440072570274380366449129561890638104624603263320252702721672087796614338130110526187199810908778117272665661580353147679117673528342519006045585779012391609460358743423082168329493873921698496132600411523157139393425686485558294320063011566851053807932605008380184580454733848080710467888857661388261293865676257586216120981058782715087706538195097634869055699624729334113359570193116358518225372458565567754108436797124577180291542971210166543642339950632648616475530363781128600205606438179257563945540921585643634706229757238017408330535383798389393557363380023173714087227540875607089471904396323135711866455244613745641627941779988559156060159956289457547694238055785413288326912232307256099817674790682746038364737136330118289005763979035900997343267848500743948251839953704521231201101419701844898813665706462857535081894636428258548197143146524798823110567900863180456545813320867441524820568711101077440652126164779047708741903308472031894813571694146101367625848541957996430725765782527958832030475726997445906051967565717014279611915485779150638334850402563529605371997780515952379570220928452729982416672052833745269404526501116766217610740259384018600105766983807007012568338367968998914947634168663858752641437657068478492237120696876796245501353107302479730455532595465334921345822857934442001292568533375525244070417097529082595970768539577969869604009025157118918242471929165044838242923201247146554113570073856340898547806749603318672757096195130210323362711149664684145132867611762678333559014240082330767589722876585760869746653758052683764635325878551720964544952423126362809953218973316041652314397249203514539656431133414371080540202035577611554983696466937366549351360257212168097436073179221034033330334695813839339365606681349577247815108153679457730099549489067970446106702333297265791330127081740391470843733255602941487414043075009991818857430367287836402673857787539459359736195501785133778676160067364279980034608089503503746115578233617774039083150149563669623175871712404218303695114610871935888709213887674982173765667512889893057776100576926314024376059390380639222080133676321279291263139035123191639047051229335842028986057146438229144390672249828289870893580781642821377752062584523054670558726682011603348853861306659680290666978295615827732303134125595532504994780105233129641825404469214986761403961316466443755803092708302155867826625232593252439407479887903677593759067985597113442976247307346743015484633236022806810948067812322634281564897256642260648394587915397633839224305295249723369888564597917622405043991120653020444817712765530207740373347090658297245056434648074994942850731244469724134744449387604419630088834859830355288779411549236853634796274301208572498537482950603839709454803753892040939527572827423875095238441315840533213005543459092756023519415368199094550143962378565764897135584271424376127491231800968295216909746302248159962650090317640884090946431025712217500245349293910010094139617645742273170223997467101397966752642409664659201272133579267285947835504498688873213379999318406716344130973962008028854984895345700463978743456958303194666112479949400741522293096633123803875031708713679146158851364783531197474922594561096927630003691474533149086136005586215668391284766263003937177
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 73 of the certificate chain of a 5,496-digit prime (519 intermediate primes).

Certified number5,496-digit prime
Certificatedownload
Certificate chainshow step 73 of 519

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007734453138 --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":1100000007734453138},"decimal":true,"detail":2}}'