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 #1100000004861551173 2,489 digits created 2023-10-24

Value

27585397542285466102828521053073073351381300074678289402465186800018801858774233757495361651378041035888996557544768100323475965410235389722573914369643715218432433141802368881640667695224548081620854602549521123941449397732551281297328983987427266068481977420550752401195372103038257391329193171798885476206669024604130538450290858375040156274112905789439610123600031486548275470874204384071196154608431328542918461396143853906719649063911184840528429972126778414197318896054228233679346105500478648678379801785586937386010001216947801562289805204400866038074257658290577771274827490250676765786281350021123871227764768170193663166906244543016806374414392903420078485581098864776855006031546052616858276005011945044040526533489334986594806320876560619604749539574710739743596646671485134169664145015606394577012490132412432268491659799337502675532237656332537297357947579282202707461193053958002544784549297103480856220655038799689841880766911952445908051774171872789571241843220098284732739273851977522424035355718739446681055473578030196407519851307152975343114806181599213852219080617758141354844466443437815132661294626945488499288074863430095649445358286444731868332478373287587661844042170204243502821063076885584381939695565682016122418232843662677767727954754968323457652055498841992371096309137937605207655690215333750316742243568486799477959505722887427218705842442387288991313020441498748376114138265072252931433545450062722211897290889513931387607695825731901270131263018743485034424465608619148530615493852987514436015228213605950574677597581722923709768111591741396220959937966991720543739026351123444586766581580178464348340660345111836863855629702981496265020477403704871234235887018575086885873849657006398720647628847203250946494933479000268819646389822308464778371152799226123783630653263202890604904580624840233883946028894737682743585842901203275255666361569193490006482804996636343022137243259152461496493104845310423819679842799511750434957389934270913010262577111287476142911948935934555582379226788000399451598749438545110025073682602734416571918580967594996643644043131172773470751036483121377268834634938568712630759326530346288172086465667980685942532073685554130361630536772771171685041977667839494545197964484614988845146348436771690979551449740161494396038207313490749348915296318899927405654849193158217971280525981200595038886714554672090807835803976689488178616909677221468543795564584125170313022611024602185406980164828670396688552121491497006292613749
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 45 of the certificate chain of a 2,911-digit prime (316 intermediate primes).

Certified number2,911-digit prime
Certificatedownload
Certificate chainshow step 45 of 316

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004861551173 --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":1100000004861551173},"decimal":true,"detail":2}}'