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 #1100000004814162406 5,379 digits created 2023-10-24

Value

283563250849031697351578375218045167956725258580833181608780525738773433431786864133262152001338002869260150885548360408323371654072915883365589803655475564246154301577532100453455974412504017818636271863993449338888937922611298847462040934669935359315248916973743484525820866726723117904389351507847054225313912176645250265887150095149989329883228320591084886183260419587030528145078260553657988491533807267565728011763212364470960739703778405621411955333603412086779233426113422016151059370197683453441358110287158383121624816179700730316845044975761797801425499819459617924567241018629902736060341240733462616289315943029966440768176289248342803923076684338676459378105719004642287966034980869583385476213592701322844885829180374450579935037782773084151216234540095301338081484231467555988980307401541924200265486115964166849991996450520977442811945764066926700202241780642192581761484572230854955917195461758760407340927581352986584477338322878135522412940467129554740931980728695146595786785649134643418636391142815330353903533545506055473640629297166805065493136240611911665424596386245596982356800965509959068244761502665326565846234592835344762623404954329682259257627228006727452241434053765045881722780924415885765383106313228221081978330443615891932155039818526861442607844828904916787896402043393480248709539258533031717990800241187380770964978300017506969033415431163015909769700682332910032205877315878269204538881660815531969178560850951252777460838880370604994619188277541205734296416321728797800999894330265039596498860400345221992564526660150418265243915857511949154845910232940997441626267664584986089947900217603848088541910156834566785476371460354049542897981993367171287275256579604850567218782459160862836469369891457499361474417031392874544463882890779362425566454989984117988086918734202764459174693219845433381426765685632168460224803188170646022699368614913551769884975412381237007379566232289841938762513994414442050923037365381120686222985604054587703956688026944556726713901810845005121797536431748241039161614587779622248409515022757620553805215386777790100618318969477432162126862919751440387875691258282895026457913595746035752208420033945362676326202876040726073596313743405641011835024957694811109504804250679410231923707167505203866085112826996566039226834473073550237238025180801518049108607137328206223794068388507537396652097563488665759549880420350448112781217713015510566981774690279023296018619092569654624156959428882532348187179545185073145229697912884636508779666706329116464999106491983900374022809175862736409395882084516592047386531509810420604793519609729194847946282191901127359202362128063815614899454763792139981820682406192412798509429836820671558498815495078260922968488414903111939430502481220266574732529836091685102134819633910301161234821994841638415641314795712159663325052983500743013169968319663915010342356308426462688683725840908773434967871201271926599661569088946796568693876704002079370949323896533482974620162206446954146863134326333962770745149408104521999721845940342546717050985021194571696665112252725522972380513766230566913491368493685790370393917492392893389582080367921573435265756546218718296138889251478708730553973491141381352452721044244603601835825711035048471138358209778307686604925418448243107457420309007642882010993176819667691754352840081338793529085736458886821195409424084697999317527696516055075027829522964656632971322645589704050930815954548842539639340870272240068838441893887784983943583662169938694162888619300439556642433135356996365223892364616733151962004696955065962116318447604556303762686104264783667724402914876384505407014360784833944596059523570723882364882188685930470482243125133940480421810748204077456383336945010829883344776620267999914256834085220968886818306594990793296709196641957250724150603452954705222645493342126114533646826920050280293123324460588347025927831765895447133176670585006938943258194241639654448485047279062869968599097818747769729976544715662278087850900094460285921369782511355860857503384309443602803519239461617705265929736639031330942388131587037155950587451183591981451921832441035879670563175346928618428863788647887909964946995763371194394209317351289974343170155487520317155457099326835239466372290007628704168982976939034550686674607692147727372076999187283291891316094807983619935661873433225778668431427105421867264032215721508031564618662589187311623679064240979224766683056545269992483616429106336774308545478293270183029348175939243523027680834789137748999526141174356617084824559618930230096559986443468220508668978436686806478692473212297516051613837189866830225636818700740256497124253266471561182231197285931252913326775735462075838100642823639969539423660804166882651254425492430106164207187981232674107124580583077523541782378733699536496408713467243124438960986196439653929643887211074278074339833801645741013865749550040542003077073218852689758714840402572667929381350874001565375838022584856072837869670256325958669387506473447799710290172504194849468792783453102584804113364692104530001469164321367714065512627128109628058019515507944448849938203663889685491479729203746304666549279913933845021120502963396220473277341082383214422357801267403724013272308794063877988881792104277292158929834662499753399104780759573111102515458855630521085130856515740344627031605155935859488772053519676013866685126757734542017604509855672681
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 48 of the certificate chain of a 5,882-digit prime (611 intermediate primes).

Certified number5,882-digit prime
Certificatedownload
Certificate chainshow step 48 of 611

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004814162406 --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":1100000004814162406},"decimal":true,"detail":2}}'