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 #1100000007106566022 2,559 digits created 2024-05-24

Value

394042375585185846769827699452593600976274829051694451654666098324825873995551396938632571774396033303233890620905372197030099391607639973866379852518833011304304952884542952928569856378053748845056699280117247251953349364375681358908785225277952798778586584313546204435507766653406971653030186355503038201105092835917202960460285349340442288856409472573925765324383882155596562702154489846859419282774320888480862051386299855945043400225835021872003123608488898911746537868885443171113497638566634097542639455447884308572295976438313306258715759927093636017542894318234752618998947835163593385317030364669302511148968815420609662188517863570764356928516499477045453561003761328628413941412287540700397847351637659431023784606913124182913930338011137593634459875721950286163348604098891793440867952440380305557951544814125272536356867689272284121679023196530333548192829047351839495463674783959600702391203981233943741919004345489655983632285124960446830803594538340475438203519972689464718323541320514522586334148517729464842011154809220455059637971765243963662254052851091879126736059221000372939365160794309898669671910177830734177292592444293986337460089953647962863350800273551193800547050161422639677585178750973894823290125722918080651609431834186656865977064447865065942656485182459924552065178898893401078724464615976508087964480475593214465241936786501007183843358903710567977997283493491091890105475907847280605467543603997593188631574785696253665221783413154728061205260016501195716245309276323775293057369178428812403222599410335929982565287443186146278288859173216948058581346971220778677717324855179771043463562983543743634707392112764281496224769999516852705678918026346567515692782947234616356677098625339524494561396799742096634670265247146249123942733721008225012753900214131937746872532720559388185107824501259559048087702098067544701669607473683106313811440653314277809725340934750467641026564941659625276402157485667272250516084785790569241168017298659700973322705730655417097307162041072405054397451140050012123876829223542112844656247714987626253844161014364948765553291749296375340983821182598432660720158804061088491181104478082908871017009144032591800107058859207948673033416095102388494725676730884443428418129717844917959512591046029231938433342988475980350046891151861408029337893418652106876561153838075480399830252060252909172457704043136008873394703675157327130065722085982318856739014950234551554408395900294891392216497803401155131139660242711506104354112129370720068686896639924321864746872015580489927143456889752253583411
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 70 of the certificate chain of a 3,531-digit prime (255 intermediate primes).

Certified number3,531-digit prime
Certificatedownload
Certificate chainshow step 70 of 255

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007106566022 --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":1100000007106566022},"decimal":true,"detail":2}}'