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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 #1100000009055793972 1,853 digits created 2026-08-08

Value

31310565138405944306204933230827916350477913880561821260356445348228688935968119279905785430903651137946273114813755052757417732945927075507866614284495566475667225376795235169077455691037256537932930058202260990522184006225749564458742410135374675056354863429267433596872681691154133601798962279366528651363397381348223547247007944247481597642977095500431501311541714252711106365482690413620659661554841560772310002242919646255450954122610768314036761388925197879752618190989789632879496266687519576118088109739569660452593943522312795169652139981084707937586457823712183885345770402359220983634247146761691875420282029543359279066892726106431897214600221086032062511779502964643984447965102387210897682473936417258067732052304248167657504700062364768920121619224563398026227143803304442145013289592827068141958882917244735784429233771312014761953279927432971057852433561133207682690767980339965393268581117603617644354968973669123744516607845715798061986796623269347214037466522988578506023228222386172832456029476641225126882169968885280742515905381493615923813377518990177144782724179484350209355698844678519418920963688559370097274910892578830488876615199394355607109133658413104297638044207614612771690318534497305482055282366013702249019338990863530396804648540664878216254852352225596336170059569225217219461622750099836968404311931845392186694655229412695454929946997491492011171106262758658349109880699195780022234487981582511941134983008270397075273522623097894686046197935992952752112919147604677197948168042784214170243072818233615392649533095455418935558499432242696959213103670611163197799190498929243428191884788671672898454188984709153820555012044646604880212547515108598479896829628347085674659498250429001451481070229945645013196315878335373410919240616254315598369709343289750794782300979965606210566172365773947717807197070685477491
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 40 of the certificate chain of a 2,426-digit prime (184 intermediate primes).

Certified number2,426-digit prime
Certificatedownload
Certificate chainshow step 40 of 184

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009055793972 --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":1100000009055793972},"decimal":true,"detail":2}}'