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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 #1100000004865760556 2,282 digits created 2023-10-24

Value

21410877030210374647771585179335136009343232504588415601513839942179189338467210011744709798029977350639295135587862306898889721618315489372828621747195060624819431220575906524852373238207149249966570885346096064321548633939984432458592142403492215665073932377181802630742729744709725518649301634664027022577238642596423804028951777688288666906991913996878424639646383641528434788834698262697016938480892974844441741690815106940708895216010635870155000052585727941568209718391062399927822894274880560860475934834506508291330112901029532484822372908905540216826545512116796255138596305487427640594184277521344785605368305924452529324540501593396033965320981764213912578180276364921231079027260157871934465374621435812803834739846145453137087532589026327580547134333622730291840147019566474498614841142554705471128337719334077554297182867819611733861721568587650109792887163673633349796078431449744576235333620281867694464987695693840168681164777015897530625351409839018499811614711006798268525751656149773238511786741009210262337034985894193659294339763187209353747577732998674027810070662832544787641481762898863542960887310058855212886553527734978835755385987952830831589756643943524206568325730088970270929607098514018303360472573501915709214809139018395019642126080682528767444813000029571648834306242081968074271329356865022603179057940097357946629699434550821030958752113770992963512309285335448299735785680175625656313499904811781613871434339081777107495842700633790662582444844407750848727179783099207673102636157316304286345602986568633303513634713273268262085407400874073694696732995317911374529810674806916921048900029914599374639197947177158701431298395863076951898009022568103586398988348256046090810745174582791132558913275120878254247279707901752849800208699873963908180214347873485205388221422353185648951092871588759561830683639134739721373493023349929190713270918714059415855995915590975107574632045116413237479081733479928729827224279421899183835901641238557244627280200174344688211484554762292938405748735989155979873848450803635220563154159419680972971354021415480723459623045822522151855213723118605200076569932178750058211497354869214036272603267709640119441586775967559672254952630403106172533947668398380657551127535942029816601829136497899365128358596432661
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 65 of the certificate chain of a 2,777-digit prime (377 intermediate primes).

Certified number2,777-digit prime
Certificatedownload
Certificate chainshow step 65 of 377

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004865760556 --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":1100000004865760556},"decimal":true,"detail":2}}'