Perfect Number Problem

GPTKB entity

Statements (22)
Predicate Object
gptkbp:instanceOf Mathematical Problem
gptkbp:concerns Positive Integers
gptkbp:defines A perfect number is a positive integer equal to the sum of its proper divisors
gptkbp:example 28
6
496
8128
https://www.w3.org/2000/01/rdf-schema#label Perfect Number Problem
gptkbp:openQuestion Existence of odd perfect numbers
Infinitude of perfect numbers
gptkbp:relatedTo gptkb:Mersenne_Primes
gptkb:Perfect_Number
gptkb:Euclid–Euler_Theorem
gptkbp:status Unsolved
gptkbp:studiedBy gptkb:Euclid
gptkb:Euler
gptkbp:studiedIn gptkb:Number_Theory
gptkbp:type Are there any odd perfect numbers
Are there infinitely many perfect numbers
Which numbers are perfect numbers
gptkbp:bfsParent gptkb:Number_Theory
gptkbp:bfsLayer 7