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 #1100000008676271680 2,778 digits created 2026-03-10

Value

317323339222961525621098771617111323376193791216755578502907495038340106927202285855403900349421797981937393819331420557490331754541258491106819182541967404100413239355290409613216117008975751800775288186577711359713039679100988976991775325499994840269913805540386172196117207525548551977419072659177296736722681556425583035811686805981416633459108218559443886059103778639169389304752181719655320529378340327731563370284294606377290871974291283604029537317759757396859471039672400225534086035037026221200641030114541258530939113618086461088221632923443401528167407839262680160339012969471065421118697317021940381730312650750340509787607073343634996545134853458516450482359127300411497590807911778789421885282022904308196467072097430609695242231246946819976853968981185788743746379347172205759223315203906407019768040120529763666080771611858598625662142086242222910813447358991768025147440040300643990974126059124764059804183717677159607775997586632006860059950348844312268723400826701561306112527538843942192734920912649850789848193606731870610934700104314091991613650850308942296376047511071904195317069666298160387492998324868228523732503740397351461904930076319765791678619013341899029267717407098987002468287785303384281928899291050952482116630938579734115907975422385641198654177983489748897796027738893331815002312241336080347222999234093857876608624738798616736721275811043647039392015023316170401514411169981660028715218139678631380705014705777135000325861573380226577378552858653365078281907139931628256749543704177037323075737838223641994678364267272728205524262462522554266361246645542902697561097876417677321317660464143977278855771283064802836262147417066373370331302391835158342637572555474146422616265182480954182684762260683793297616706418982481849583050650376915163972864377542194837326228332094119617623948710732652295111134615209393839549527137400669888894815121339655424479358226941372658948046408852542286673076630322293597894088665621146343677407028571359768216261604125247668826189736618338322540371090725875929307612578508231615593020495157640720208657816845617633105466428966003284376600756983356565800542195047158206950776231538528260966708954736993110799856107514232953834272876548572566828129994804231099503676042341279817566199169259259788311511449585012102717713252993757077742949942805255739380091030851993344267614017573592079765400094799171773430726498968000763549907441414636559016503797529379841789881564349072074873930142703580682901811728613479376352654733322390131104429498293130979958200104336243299433767290495707990594036161138840553506516545738887650693271261340641448589902325724173569026833058590200024854581019036351684381722100396668690701274474490763977498015022868756004605772322916183074995534653915682573262043479579638701434667
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 11 of the certificate chain of a 2,915-digit prime (222 intermediate primes).

Certified number2,915-digit prime
Certificatedownload
Certificate chainshow step 11 of 222

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008676271680 --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":1100000008676271680},"decimal":true,"detail":2}}'