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To find the number of perfect cubes between 1 and 10,000, we need to determine the largest perfect cube less than 10,000. The largest perfect cube less than 10,000 is 21^3, which is 9,261. The smallest perfect cube greater than 10,000 is 22^3, which is 10,648. Therefore, there are 21 perfect cubes between 1 and 10,000.
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