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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 #1100000004917632745 1,617 digits created 2023-10-25

Value

170347009909975273008013815789017638195874887652140276481571060312640890343988354319682391820785632690045503359134980519203773226728864946515666530187273935713121011864049740352885782134179703026090031575623314051838735549663194466099993299106870332589264692195553183791819012001306121131020895334780542715816332785088308793891053824970475234950511952760626658673589457252251266640998343286125645623110987618260715850605067369937249803837489272259201185415802246390067461729194120451489155750397083431868948658956111812367479943786897660322079546000361756087677440423022637150680795670479054399488673732830389944691402909791473201420554262684852856780063355824352790696950416532195036439734179732322536841635613648972904603299840465555373266293050255327004708305399564577175385229621819462277409036235286777863908111295705130719434721975927819730627764027072367792677159285040643323332532756488461248546165627193652369431970714326480139207728837734578859500001039958882061123555936858034160790731954621812356423324382482621368470850094063534912791295852836339904347541373191634759382803119925265917832061208252003857183949368755070478295758973574126840950636134106640919401382127622332585963630182197596735738148535624014898394594876648996470130348469721488733010976681239145034709785531690932910169498886161301967998395281767744335340797168459465065068736543403890971081178090492912954124896866061861069822960225995937909271133123414441017404442987671601120053995904734596616345918620460571078582241244734055892090857575680715278355636602227638912967262972100370043613109141791663123878191056044882807633432281910983
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 40 of the certificate chain of a 1,979-digit prime (221 intermediate primes).

Certified number1,979-digit prime
Certificatedownload
Certificate chainshow step 40 of 221

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004917632745 --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":1100000004917632745},"decimal":true,"detail":2}}'