Question

Find the smallest 4 digit number that has a perfect cube

Answer 1

Answer:

Using the J programming language:

Find all the perfect cubes in the 4-digit integers:

a#~0=b->.b=.x:3%:a=.1000+i.9000

1000 1331 1728 2197 2744 3375 4096 4913 5832 6859 8000 9261

So the smallest is 1000 (10^3)

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Answer 2

ANSWER:

The smallest 4-digit number that is a perfect square and a perfect cube is 4,096.

Step-by-step explanation:

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