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 #1100000006985328438 2,664 digits created 2024-04-21

Value

172722883778362398025146590435832713775774728550972971132496305715176197765456398552811067859955941327630648677824538400132039793143920814353710272641053037891867030158063814869245080895965935426539030698444052900816342215392152754191875228307863446780531956276423914228457260410881687730827081190493458374759307810518960637829084696811755434607860566245893472530395906076027443886125165732630075333946940288765578814478627474390529768540428460530583300088579590976988267441048539869705446492202656782990448247670266694471158937225949786174408600372923309189209829499452694292346917871031850469563613582353165718787291430439593209469466671519075887373697343360810031130039705367696719337721523986787410824718454050105018674797312952961514722650609101590011943332931194860330804939810147613951557831970498534545286017413929815074780179378691483933462561010218049390952152926423744649529774160714376321756790022836254167496949087863809745464451722647093010753837602508312243121350739100658082860294720376372445722153988420555212331349993902102813172564902933195395554866539167810913718813070790136388309604554557516162268041885353743302149285837939536013389339416978024554838665096613717225623125102253955324260747487578548991394286169482421538207851252680897764232109505033033955566815892713703331200447291840689002391323584390377377832995536759515083500996537899329760771489350743632618214956560200070378494146097625156875614022532873416297635404676946995069595378795211899628672450267878108013335829234651431823035442195855928821097798186236191245478298698208397248656651543320806901039731200823723122887613230308433480244703174617713284107113144567372243727197143932011312732941983925225144771648580030822749744989178400900236157107047582190426147978262001211455011841153019602617959887502424709072651033143526185603711613870805186977409306902094029088537105887999896113627985186142802159694676446493401243432267503392885098612639205639374814244089901300457336578361663863265608441931127150102718888725028646816653825978098108484202277406927680906401499656172103228914727297436223018788269099526534150753892607384966336385642193182128813801454483056985669794238825212854839568961609872987058760200693974687801988646001343658328097856090842527715384806260340864994100052329978351946452748690984922162779053692653656219474590217088822450670128205080150255443477026994325470259456050606118701867604516522673401605456728977079304780308452898908619897663841724594449124460493008608438169318477040501397805029410715111979724992639219931783922501050707690660499186226182034550947070387435478971060876986960533013987753476524193695048881500092627166501829855313093243957
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 22 of the certificate chain of a 2,867-digit prime (317 intermediate primes).

Certified number2,867-digit prime
Certificatedownload
Certificate chainshow step 22 of 317

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000006985328438 --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":1100000006985328438},"decimal":true,"detail":2}}'