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Cubic Prime
Find the largest four-digit integer \( N \) such that:
1. \( N \) is a perfect cube.
2. The sum of the digits of \( N \) is a prime number.
Find the value of \( N \).
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Find the largest four-digit integer \( N \) such that:
1. \( N \) is a perfect cube.
2. The sum of the digits of \( N \) is a prime number.
Find the value of \( N \).
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