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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 #1100000004890742893 2,201 digits created 2023-10-25

Value

39163620531673492692625425284588451738625865209696134820724278006975626768428818123542676437673462464345014017318182430248676671121863393273665535113740617200318415897249727268057963947542965663842846018538563125354336224948266415306647727598348235794704948690913182836891238667202563902136643969994768092485298720882102648177480898037079088023933651270291079677912112831111993263002554760787952627919946246151960724292967708713550485096687524261057065516210630169725681892297444404460192112879054416722246501642799041692968110889384116072749977939996405554504999803381302492130849013450896463725399989177606842121151321022166982882630236551041751287527725984207941170687027723412902454298035661302567885567089639097672037284651309200677173853863574357433596243571373989995527849255500456691284002281354246134148040543754238278997954830444065949350134040619426683489983199331852393539078241774561966385448148672761192488527002282492306472088825484508701291474791732283406391249861931310621741885531020668824911154757994856640405424876844107408449596919999074967516306235380834370884298717523739445797143067382288251641176940294146979817749432917943793450504085769817707066406956141897862519827030958711761339533706838598646277579844724213717179842424562784569689613587491230400795875804200528131413748291047118418394376385609888137212333782806990779436562562842854733562799645411152123443899210928690657676683236169509280121761458920754104972667810794212114029026986637285569266778663057517729055328790627722098784805290015865255207740357607909185769546915403316921049337116053875076589313332230363943808752076839740164910811983746504963041364303840783926482488270787934376357498918333034650128735323750244747200551082147148667727385499121609356394382775879980238836492171468295925004083551692942537634205925729933018866836732441719455112750369517208144066386263987649884481285988170125623414206052239974451388120257615009102545509746835005923729620176667479331556473163583708179803182044098074648978824006292606768380240705196018286976835838858495569439819162529937220986748121209972402807602722576013714645086092456432752832997199180814345818288487254464618505139255043939773752282698741518937985741
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 5 of the certificate chain of a 2,229-digit prime (258 intermediate primes).

Certified number2,229-digit prime
Certificatedownload
Certificate chainshow step 5 of 258

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004890742893 --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":1100000004890742893},"decimal":true,"detail":2}}'