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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 #1100000004864048337 2,345 digits created 2023-10-24

Value

52405498991356459146045420520661968531711338917811019259035618375968866542961184299161983843316290099928865916357292329423448756933803175836485810818819872454134360149963002657600835290367819097492024675389473543921454170468300923681074341987070631864008418006093682172771922649712981413585453148098993635839365147707501152803390757493913588908920157804271166434304755511519373192688894491481128285866519196019752310851835685020865067281115991938117628648830111944936370904068090723472615332848671923036343056460123288514874910699202723977774019473737548335934122873628577999617138019526516404770923616305942131590797737809123140763760049490898676830264704435941829824462208144922564561463939452024224075565566434554749622819761277850343643664115686138689234102537362025894553690720274380349681856445460803193071017463126148250108470535485414456470746706618730621948787811978528851398500589715679256321561048311209615260490274313634942329808978440293360149660995132172106191530316556947295721682587722773226046355856237859380948380211527987192743064691515767830156714758720481764622934788774019230116626631710732740972234335894634911106266445367772362278346931472337439229511391088557876834837639609525650685153875135501028798513699049416134925037398212661410370095939906774824022383052733724120671748901842195843914378645710655242637440220339624433914753311621395418357006272340693308380214464888593170943364353633954785590005287352506624864469329928676034393528584341134378696784457240107245849935093443991064861883528026272866409944881561569914697417518610633207140318635893314962802837982077727155334922446565477588433651704006976814582631298949459486288895101679163718163157958057184339848250775308801086455501759936253743364292485629110624772900336955751335775385147417406551625587523113719300300936085121636066194831794561723338993758498359518912279002099285628451707987925189796463965828454972454216404943570562966939464571024562255721720545066391602253955190184854402623475937283272557492321994593983419258008432361506462099770916741029500135520977249238806730062642178394386651145175645965466223814660188952317927005531858139159088579217497161771517501863483426591464420984695287276362692566232357200049287442463103513294945897666994427590237037130385778642517390741726464539260593485268133834924781672395323687197121419581483924746043
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 48 of the certificate chain of a 2,831-digit prime (310 intermediate primes).

Certified number2,831-digit prime
Certificatedownload
Certificate chainshow step 48 of 310

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004864048337 --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":1100000004864048337},"decimal":true,"detail":2}}'