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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 #1100000004874090933 1,946 digits created 2023-10-25

Value

34856464706960653152730473496904173784044288157759472649588800333814671887497505126570517310213462121059156267311877757320267015323718991430392833169702624029192660626058525384598100825680843458302263454652628269999788823893779406197074897484835402851838551202540088394323212470620738142538683506774194469458494763869118451916608268460942951157824346133302265438599926579664227319053019458989465968399928433252642818665204546074479633326073254418393268782613393178248372364904537465092437318750631063256536544065878526801601342172959663199635242169532860286415826728024050457789993432929806585167499545258986397524525502270126826712560996359758998277511432382607439164039943967676019602075673334273437310855152589337488639676510073389737594677784404867393248524430703772274038536029434345512698250880471205348003085742563719979931741987637043242858536587660071061255186158724509935345193764597768318784895360588226478422865222398194006219556217578258412004562341249583560314715338202605055679661509101883056996689705673136834606669345270594178236287856720226791350036050699439096834335305664785837076190948437394420017553437423444964147825195222242446372574671328064312355122570103948864098414480302478709577680745991710112654443312574743449982936289798572680589311585956840562067033391282641688409608570849452858054252303702213814278161013750970173279181476366824823431423009129995040357629755354486703322603651652361653897991418118711108757951581864413084202670391279539876273332757328927017568544447369230108534509036846493921848503630631743472670548508998563750678485320859242581431816807592344671904272919218415939293924418409434418258204046312460529312032966893288661321644138124059664031232130602926197676184402059127322290702154141612487053537670643498688139225332893777518101833733626078211935707959297352050424905325463820742979246557696258198989674244973460697271569786784345936639862422771775932801720096438319650995005519946625583793
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 62 of the certificate chain of a 2,543-digit prime (274 intermediate primes).

Certified number2,543-digit prime
Certificatedownload
Certificate chainshow step 62 of 274

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004874090933 --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":1100000004874090933},"decimal":true,"detail":2}}'