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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 #1100000004862380919 2,309 digits created 2023-10-24

Value

36137498212125084011637935569730427329128993494895357661495246022840323096992582600701129707848292341206080039389735890019206675771218927031312966197526779437410692765995203239644869338070342884139289410652485428937113700365222829613187216284527156745537761004665114067348394566585506039228406227403966061105226393116724524888436054766067125988383743810531921616645701713250315911577655806569819447896512540566073389291385679414574886381576301257764639382569769718064840046134631236819013165250690173115836456713141897986336068349041832565559881299375914389134167839264469934976270540726397419674107784843207385659763100898596736888310145944854270307303388785957458829439679160346956270475123168806964840412458465917384871893079816538192819646174968845086552214553016060464327876848564209515318054704109147826132111308534300215199920630342630590548814986139569122624007691701569127705109513554067246010456332873687267100611588365150976158894234297254928636939903952360379892810201893234950322349938385548288099816773997446546348853176052412216489088973771658709717492662214734773276623039027914974034079996309186668202455998384856763291576827148673098891490403338730645767283600739440276916782309674479896313960468684139767128473019732104286690410466643882467025463293021351952896371051384482714431545215035033744864035597713728054220958756268788876956766928303764649182133239660387926176879754914312983589532678454648760838841784259128169039859023105145129088110976839758226097222336916254177646602934220497909560429770144781328814611916849007989247531509092246032290243764482162218466449978296795316060472031922388597636612082312402589967248085767354008443633518479935827750829446060571626228257953500545542407829409712462897838930874597928927432705083224227875351706812421388871118752277113605247654807158981744661884248198505114547926443335555490258780966635757033015591410918882408907358358396293278722100478410774726075880593649880610427965278115486713914931913354783829915355769100767814140517185730844079477013256868837477725038141486927337577029343531827325228275844384346709234629388085209247943048044918846239444289032620630001244092550273507151632311513852895912534409305563327993114976895701420388958442102755639469058543537145786592955358165478308493760173270296346047941488693564199864727201133
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 63 of the certificate chain of a 2,885-digit prime (384 intermediate primes).

Certified number2,885-digit prime
Certificatedownload
Certificate chainshow step 63 of 384

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004862380919 --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":1100000004862380919},"decimal":true,"detail":2}}'