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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 #1100000008680829479 1,613 digits created 2026-03-12

Value

82743565301524314488742297556678787249987194249896148867486383995071999291680605402732675994671595429948939164781017445900949088333389831098025138288238716747135770978846621409271937445751548170856310127027208305973469869033872434652057839717555456458690465902164511263521411940308118986372173958291675559394711971128866144215270002755595146909197466103465468048368613781939124384395214811961681007846232793826931059038985339171505412914858099634240463739896307839084757989780959588623869170973775482958173866117551244912611099327285665114635228420897548889995535160028906553438227377786138459748704931529718407109976351275585814653622318129766025032880711806063119451133737213314424639683473796282821945258629560267398143777801414524036146467186340881804995326213615458088882756347410778456441120192732462956123381123807084209906847751814662561748780289972522317200503854491657507219450598769652470566295734646147504050363438011311961643776563602565208029067057439428338768981510377657462699000832822815834429779377551869065973216601391968236534124701335289589289767694397633283235793456936883691528668842288976281759824412653668070118968593118882651840459455420380834722017000151944400352566269583158548552026358127803368677773747187190702235152124576387381244245513422022275328759248735896416024730094221139143942218679222003011300098798538153521564701866443269662469911948869586848125680741445895683138200318273020542399459929754175655199177421240899238827380813961490693076340882541153422524505166994411451276990356600959332077954420016174507095716621064394148680005910154122695897303040467185408405196910667
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 69 of the certificate chain of a 2,694-digit prime (164 intermediate primes).

Certified number2,694-digit prime
Certificatedownload
Certificate chainshow step 69 of 164

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008680829479 --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":1100000008680829479},"decimal":true,"detail":2}}'