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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 #1100000005657811774 1,948 digits created 2023-12-25

Value

4098367531506641112835748591064236986122383969457082994479097244591894278655009047843337286354614334841234433087546926088840876474056088587867247465952351234672361414503797370986923590444636968780811189135488566386904857562159316070348452748775684880658218292964502379760097262957540522796345172398676005909218152304155543139148339189344333874665652502050396755698332952558294107068662879063615575796551365478088255157938289084612197265703418495843160497955769268731830304043083581975656868490693429774133650494463846164696540020743780523804730865515976438457380253284443062722488110587527894848466607354602502686185599657078879143139281273767643317948451714085447466117745124679013462137392838718702479798806164719942299194378196526502322246341759389840986600021854958825518400882092619677807741904441872327399431724957317539189155691947434645402490874162272075650809601861155463870752571323974475447050192128620434795534436654918856714918396570681387625633039968241269500659560801320702450734408390954398209380770254648374291382728567608682509555755985458543568825489333685920791431936789279047134570555860929577633063376103762134042431496315243328815925994543057234954092684079881052561112508312149559694180367300518744629727929780454106113174074195663870042837684958551197370401866994353091959938449358947757648893361121744822737150103313162323868494433173811544055430925780048015029202241592806286577587153288462652743206904876160264361246295750225978115687428449584899887384213025604830502087053594947450080559689698547595578868853057332687004860173602730933421113429456863511749035445739143003385388849833538966113916646234936804403766285906307108085780371401326020742291956683188834626315756690396493032620991183316335473205674557186235556223687125471538033686527736948287112630947931742923740461359786438179478207827854480197245006025526846298704280129364714275106075209244712156861721024780475744335496861742636078436618782458178599804477
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 71 of the certificate chain of a 2,856-digit prime (217 intermediate primes).

Certified number2,856-digit prime
Certificatedownload
Certificate chainshow step 71 of 217

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005657811774 --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":1100000005657811774},"decimal":true,"detail":2}}'