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Prove that there are no positive perfect cubes less than 1000 that are the sum of the cubes of two positive integers. Write computer program

Prove that there are no positive perfect cubes less than 1000 that are the sum of the cubes of two positive integers.

Write computer program to solve this program in JAVA.

if there are no perfect cubes less than 1000, then output "No perfect squares found".

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