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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 #1100000004861743148 2,369 digits created 2023-10-24

Value

37762188690785178286379294972396461918515697319376835950123959937410596010122781094636653537659578067130777793412080816266515170687404173709815164118972610988423939415756983094838168885060230696580120284804091927721063323601017214927195993228893183652414060046452400067257654931276418325807201219839278517271325462307639484729388707587854307634388144917223104023524018592033906189842096911624588967719227864812524029147366957906994157952416980099579527764847263884502572381591605812565087192700892619075754850240775992866748920471344325375593802569083377577307197494214149349146067742538778189210927616258582836021420235294181507957868149193855537918077693211435531742343744146120056678229937793086118588959583301538309707043447992490918463741973599894730730971267223658218034864361695147443627261248826791776987345403999230044897027622396730492002967996913193844116645216103397856191141750158049443384052010943066355545925487341357029318529318434165588662211716301828480318542609826167337514187803507806549616993025828799472488077848686561041958636233085814177424107840039444122094834112600952687319851726151574563658420045046407287346565149424309230559652885015287264662829767755134837688193398639771287600648490801105249527365607665614896778656368640245752908829118791680710008956386239904068697510906133948130596538686651884691463270509146697284481898785838840794141332481978302869730275049180983885033802208409865257114959890468073389054028811107701053706352332320328836983589976004269042707052827534118179925533401557948063579405705182221406229568850655852132868046750153127557265601317408975370680203065227151918155444214761614764441223322626990847259591728393847057989104443187171506920516902470362771668370895050913012436440740133233989119510652167710367690649763321428178467867675768070161170841477112658307770792352402085014174636383304201533622379171932857656510539073564990797501722310517622792932570720440305145186727358862320632638492763998390084370817236658607710365832799138122966912455026000001576179628652148068203393445676181197481376876967683186948264755788013955064623942814770752182719219308860161063657418159904788976713438854698050647601732935058964368720153910854899519285214028675623089900996557704781502441672548683864685313531670959110821874433031616899211385760449055145404437859353088361692704014506313411086551363368504452372363102349233
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 58 of the certificate chain of a 2,901-digit prime (325 intermediate primes).

Certified number2,901-digit prime
Certificatedownload
Certificate chainshow step 58 of 325

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004861743148 --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":1100000004861743148},"decimal":true,"detail":2}}'