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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 #1100000004843681231 2,709 digits created 2023-10-24

Value

193741467830007527680362085662253511033720202278326910943947022801297621548394867264501844006447855516936625091857820743397369334493445323055220580853849437400962706595029686843839948728940812908478331074987705251338112869951985172025353769451496011830219632341579403617849933326244623262162236549579080931622209265118850344593200426847276442867478808616632413113085134612306817064373391689697216733967998514246781323257489967650807985211136951088901374097594047451134075623652209718153910250669310139206053454435039785369168264238919824474129862211994742737239677990111476176317104033098132494487651415874315665855692501674181238475505834153345437891612454182489192002510314974159646885389088836415829164743448729519223560806315549970331152028541643499781085881871002820139609632932743173895905914993064098280778014865791102886153482831419269500043109995949339832057021198691274737276128163635778385710136188355481483853672174277753102464815571639163982172086228606696525222939482936287206084784900923469104334352132371197177337133104393893556429184179199476102649305261288197525519125126997741398565025421072778833686750493205681021923837379372717661516640574241245173440959927143764096568118134342570204658788806409636959813476772409424725246851647078288909800545076711009189031944824937244602223589865665612686306347262335499019394646932486815606558541458660090618073472784478051273059169492836845587357986405580425342862715975969719158043977015167582602516273472301451303656242310190782003655814039130508809888711421292242831220246798921986213432447046217738499254168873846230792345463086631901214613842673697156704367099636778621177718424838853613053757464268318139838310389592953285002075346719888024271278128086195027951666778121409089781809830714319407956907226980738078773763470601177212705177435010562663344115415880152945778326004930408587172419495219261783685636796334429984059106135839863153196410226490844168932074560650840692695577259586361940335678958697341063356397446856246864149134012138475444774808885467944860682968300928697851159868587261523211954331403086078069601378353337996919778495939694328185468430574981729620723498287424355676865462023500383138773015987777757915961819837060229063078102074801479316262295835538365464208121094518071451428653916020519676331106677554495726760300724359717230214794710054960533898067343796000420511416131754975019537680476603294519320487336941533947081536706039496454100366537213695848651426298230145997983290054345684696319503934203848949435383559004132875908796439691375369488775151783044609818539429372417471436062890028049843073317699670306480328345835864275668636049370722385921708204166188047985933264828993745844310123577609768991546939033107
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 68 of the certificate chain of a 3,366-digit prime (353 intermediate primes).

Certified number3,366-digit prime
Certificatedownload
Certificate chainshow step 68 of 353

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004843681231 --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":1100000004843681231},"decimal":true,"detail":2}}'