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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 #1100000009105165351 2,725 digits created 2026-08-24

Value

4837467327442762016590265516464802862540204232410391532688398200690462382369658262809114743402097386210190386805277789537913534581915989496665632966011571260474767657261442470170467940023425453283544606865699952753406886588971539189517013601040034429001312357392333869561518762759704649184406546208899526267887543421069506173039482733812258566797925314570184884883936508707051298651123219812386558189869310953434068305138541343359484729858269855297035360406991578850574043947216042934201648494035625094141574955302169981691102713582317982610019218611051574236717861405634943721924924459060705964026368770028949934493327735474471967241260973339263260729925252248347449600472020481940123329651492759147160261788562898967486331936399226728717738753265247197044580821493685632167107112577788243219434277571561678789971689878346016453193528552581636321138976694079464895383049037083732736662759602543490563072233172327239924557172115398821888007593986570487272683048787540397119799240741198937222683196323152376870301443249295462759181839709475318125451326523915028842859358978913421261063159290442353976248469826860837889836683026282617556174760126844910211010205155486340954239924615138243795807097161052071175088478906216886093705990820056128704864533508851400002569542157074107138467330030155697195761377286730043663809805464044574477763030687377406089043004973276571744190139847099568196330419450624513052628349617317632556476536636299167452943580495175959718133563326061925450684794026124411010073591838364090948726188704607849896536309048674392579569441379525686102094965088333114065765545282319679748836480728596039980462904216110683975281402348028634279492335922459589082081092479050604735387939774294144638456253896806159934667941613346364690756564801717380626489521952914202535936956592804904435885857864128854885360039603243441151945591199177945910366796773067645476060421470608549975982660072430232352287482536072225262029669803938190628756269589186628037805703057903880501406360537003885074628336419575555165448324517862739818387561633093947791133676259492117857540218264033230439239895530725939553667188846269912001244017848479212204330302986039837773416193881891390633183043498313486552440539868544118921384886868963041018854060070194865650755950289285743486796804832354624174020458928360070718554694557786990770292849167573397688988359605395997393359019930782104343130218217478219320551695361808030753232164934542426235170266684171689718178987736946227096475623565393944532980446519136902273653222470007122355517990000411210293525895447488352206098986004353183479898169758615490515944369457676357008099673416980575143013856353570631351177051416762658198496076898941263023827040209861994155504972002520375735146871
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 21 of the certificate chain of a 2,991-digit prime (198 intermediate primes).

Certified number2,991-digit prime
Certificatedownload
Certificate chainshow step 21 of 198

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009105165351 --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":1100000009105165351},"decimal":true,"detail":2}}'