Question 27
If the answer is not an integer, give the nearest integer. If the calculated answer has more than five digits, give its last five digits.
Let $d_1,d_2,\ldots,d_n$ be an increasing sequence of distinct integers, each a factor of 125000. How many rational numbers occur in $\sqrt[3]{d_1},\sqrt[3]{d_2},\ldots,\sqrt[3]{d_n}$?
Let $d_1,d_2,\ldots,d_n$ be an increasing sequence of distinct integers, each a factor of 125000. How many rational numbers occur in $\sqrt[3]{d_1},\sqrt[3]{d_2},\ldots,\sqrt[3]{d_n}$?