3n is cube, 4n is perfect 4th power, 5n perfect 5th power, 6n perfect 6th power
Source: Greece JBMO TST 1999
May 25, 2019
number theoryperfect cubePerfect PowersPerfect power
Problem Statement
Examine whether exists , such that:
(a) is perfect cube, is perfect fourth power and perfect fifth power
(b) is perfect cube, is perfect fourth power, perfect fifth power and perfect sixth power