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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 #1100000005814611358 3,476 digits created 2024-01-27

Value

19821427294663260658916355579984689982523633232819483331354438710202538146202850578997887077029943891174275899751225784514770802996465512857145162458590931958239699257276275792615838222268138663686110552115773784856416378812133443597641038474917925500005427349585803099496624304631581504411229552039743052500177349517671815693224395169781524311369594682527588443918520439734436180639595705567732247596516180316126514712566980200407013385704819720825034703803681340758304599283760979827088102115850790741764298277288395204303419889447014025847521729849744814373992929990970101078611505541443339488348169726840052141134721311496545573415029678763967818471077861681877918557208759365119569278029946666073343924258328290136854705729651831391271363424027539557507061174419923578782031030782148377158439446261216955579078195230494748587435530378822508446125198673009921070773249511586615740665300034827842971658861846791260229906233775271324456202067393953130693935800695469206446605230532461122214067151433708004233045296927576192753907353281676693386145674824230186331340446870236798760095566196857135435164261100477737962157846447447526409938559877469468498694397600840964889419613566643649029469280913612421479515276373488731800816907953761748717582143592693494314907716611729950753138998423697387326739704117964457118555973302440419141428817221914765137207696325024071885380147442229741212975558581997277619870865315796863758144221069087547249490842668954751108257756557663806727714499856294581542214319786975966241221589186332504001752605941656289296621958618698689093390101294030755247667873238074569375012181647412784769673910984309930643901517957693471209049747876766886280322663490519577963187655748495165180525199432452007901751196450534927697629818366673186267480201709917861199586797512218236471346742046704935904264131046604870407910685343293864003084193868924236686670450836306387612748377877141635834277835435222689415294478034892913438999874135254023069125101159561821061785401631383292268030906131540793200124591773098991789604500786484031776694072457002643168576044716989168999505163947828744681929611306441886291384273138437976522124182528092221623904881640510997183033462751450337335713375496278861706389662170683750715711648186358549856231886067254968041530169520645372519962855048177139968525631677502732941050656924269983410861235877474479330245439890454952441993034047850671877447082155627886724221423299558142709073755880462144750725715733219590438376012286713086439202195991155627361391865536589493462845399156662341368609331203220392415854983816438378407411603968440559190450489817137859740666936367133890979978360710190808224466988695018020559786944111818072039644670298450227611251664723384507195508403416848179421857346022784688025370018317351782723654901950425946059159238257965926784512522725260803980165759066813852730521086530036722108702902980306038148293864032180000609593515965083552025543385729891678641169247492726769939524940951295968502197807504751848096436972079619599558025766169987735834266536207544638386628351535248716847629247371825322493920041996903868227273263916674977883888903534778915255098404214701984781638982495608624100174469999353073190489918992650126297497884788179021629046035629552555614575180578366424729096826748831157694839236434756604798813981295874929768705541346740552053376801425415088913686676266187896943906154062288609973136590248404777071142932289253837601812764664391501288493034284251799042324098927395709787
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 24 of the certificate chain of a 3,798-digit prime (226 intermediate primes).

Certified number3,798-digit prime
Certificatedownload
Certificate chainshow step 24 of 226

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005814611358 --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":1100000005814611358},"decimal":true,"detail":2}}'