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 #1100000004813709828 5,034 digits created 2023-10-24

Value

584877532247031912137963117201381240038486642886347503025300747207454001294685862937188015854786684387698421498513822043068824010795885497616869872937548223041158353422443453206844139347937077222226777397513151227985924162485439462037950521810165863412870578366018934887426004677832339624651028378782451590112331435555739575037816693371572040300861221628725767261136504512991503652483644543667599780963855412652939107002826380794946232327488385197044286438094288914606540323471077726781054912712437317579206169453414831383725328350295428922050484320063177567487238648082880995186173585789622193697768375212491407161632828089370368743037336667224874770279117879695911675177991979784824219688582200029800036430624742606604952353101073741528085325174353229410778243073375144344626815057522345690559380771197962608300563070193376233041026783173336309919303277926577786414412427437205281143348109837640873986282664563679073407791704960926740209279120647118922373017357264574873964771268017153303267011573172853752429618300468453478468959551718080585771565782691913353608905580909040348719958850795558070316201695859517019984053779161639281224162174359045355487103999867495094678307641073751184397084862347154757362478703715272790450541215778207140179710894692801306515302655864427576291213767646303994381305512915930693412890307713229691000620892014657568395251806344351132823305427966061823453854285032256180741894342509439537957858681556804815480193101546701143592437598562702171816274106221616306083238603178675705996791344583298059045556930018136240116654199744760635710920368440799354521712831025804878451252130356624347458463738212216548481512101730426215616049950066966722399198681296825178151422071509539257345865905864232298216370528068436455784271870344522418055726280729228718789494025875983626859364458863654759280330809866372110338277296279439742043854074720543901944274443274051972265423549474039488172056968145970154498733279093560033565727732126702560606014129244042487763570979266724157418827194978520963036481894287025960707837253530912226066291604018279835428514687342132818371731548970586924485996503399819088227118947539851779605690387249425031770164883113801603757614135485055132244985722947860360219845734429702866663230255080081044287061953713853167293350596170393096697975335998232875727985216900216972861141335526078562934783779814719225352376271608523003695857774324288303627450063449629945624208520984739746860096974507428638182140095308244420621202970871427094532278948577586532248409643901131193068317549107112669522403603118204598066938688286927997784026601275725785544512246017132339463186477633228764582330421126165633680318206421842147036280001534427937386947541211596504249825703474119313200212668625884896196436542817195517175678936461426746470599074488903096887122660758617933354976453527915837359187880345742149384301954062693580729614319912405424546720614203664254715274437070896215248328146480947290536060215494420060080927815228320819549893693583734257410607084880083638788938855377274615320796965022040091117408153777541963067322723944477463330657165599234530111904189442118060209088676614646055189056314785705864467080585112915116431210284440842135033298103095170286199744543684911702038876340787113462720733504404487117612072909510364404746193017999619085369134053378958617659721276171911479430610166674237294892006684371503671581719060719411213668762033196445427099869720167821830537042122662351770798613754892448924944776831073586864822914036889135179312274264628348944972879318390783658189561360351222814124299029136450397223131229554451554223183327435380370252399270346288213263928442925733864850380519579891638825234483600560610708855898441894150953654529242736991964997235303278047703624893088503343435975626451362476554416108808241258959609686334753363412136527258870971553587692385417774393328057208078905152823627135322896201157750579868079201082177237371586683334360684254662013188588029838821620112137179723901902810761635584436928416428372877130781729160029245685767737213750582076410028195005685790283431123815191895143285244322585547034667649058733257084581031417342076067353722335200493489788314517525285262937684073493538898676191555896374445723572398770677952321820020027802934970987488839921579368872205847703625616339560670011337538855352320722752506862171426855798110951892874426022091924399576024582854383102452915231533932950890765827823020410706876403271677409444687894012212333655044916909023787416561791870512073610933333444065708287674202058386428651575067702218637817259505938766862259406982744151692461009216194735563459087551589721516345985275033388748669004262427791685097730801926189091882255003769594961693881614892183473256165087132555305529760828595677111590142990005483698769758441863997620520850854923889984254906497344770233531941629500541413175257841820912643425268783831298314440746171449130342549974376191441700999147731912852186354695695178063188411844365208625301553891153480955432895941855682932873705982993331252081548427152553294264596272900613360941
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 99 of the certificate chain of a 6,162-digit prime (632 intermediate primes).

Certified number6,162-digit prime
Certificatedownload
Certificate chainshow step 99 of 632

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813709828 --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":1100000004813709828},"decimal":true,"detail":2}}'