How many numbers between 1 and 1,000,000 have the dual property of being both a perfect square and a perfect cube for the same number? Thanks for any help.
There appear to be 10
\(\{1,64,729,4096,15625,46656,117649,262144,531441,1000000\}\)
Rom's answer is simply:
1^6, 2^6, 3^6, 4^6, 5^6, 6^6, 7^6, 8^6, 9^6, 10^6.
