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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 #1100000004828085729 2,115 digits created 2023-10-24

Value

481144483111189175630134031688700738776235380511854958329413561362599913993843282107792960721614142540731602539524220378704324136353050677266888312985515063759160596235614496536991744431515257514886723789586699755066227134909513888471464760849820874975088211455837586010414842204219364467353984050293914788072889101038514067633078579922419182655681489359044296572569955428098005064300393309571376748038182597687447764976407419467863159173648755785220807969591545231295486012939618632937015834451948110489932617711889391525128202232102791620992628764999210578383217952760865054124089176494811864405866909171786924558354961570176155737827736128816494757152917207846349538391090084018020723804014533401669258984545149899570280634581010051310876995779273088271063941086811098547316908446945151615849810007489022676799049137864769327819981526278151238793257715766295471723879194065966126574529258826210487842347861576370154897025916336526364698736742129647891543829858423741658043185960060230660286055570192569405742502640923767979115692206567225500391610172242086909893131340224732733922298923016386410214549549200026448942113297023397335271750696402440550469158852396078196107249156983799576948654204048780945877320131324624623359358121076590888155300520033346777236707413615507665413186796901338003772500019747068680797033885571621837943845032449908667088680711198302990466875911594154422586754286699602097305985758554100191705980575353274650241836319424851154862531277106836275068286818313115875373934598814819543407741339840674073907443482128975039026344155338182103892601151873481145347949017314594092840291343108212770317912156335407044822324219884793604811451820831728306316781486909675822435763682511105575314106683909204946896431861150440281596984793533673024438933009650088768788902424233110703356927748904729792076547012573750607402410384332854242096532107482087494276608688590367945562804938378891568595377625769904667712793193373119914012619715173341193283785693648243366722423232584926621423103734003552262566094401872928124521371882447990264998864776440206483723646345884717260988119677556678822456058011
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 217 of the certificate chain of a 4,135-digit prime (452 intermediate primes).

Certified number4,135-digit prime
Certificatedownload
Certificate chainshow step 217 of 452

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004828085729 --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":1100000004828085729},"decimal":true,"detail":2}}'