Q: What is a prime cube?

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All numbers have cube roots (not necessarily integral cube roots) so every prime has cube roots.

No.

The cube root of this number is 1 more than the smallest prime?

don't know if I understand your question, but: there are no numbers that are both cube numbers and prime numbers 8 is a factor of 16 that is a cube number (2^3) 2 is a factor of 16 that is a prime number

Yes. For example 3 is the cube of cuberoot(3). However, by definition, a prime number cannot be a PERFECT cube.

Related questions

All numbers have cube roots (not necessarily integral cube roots) so every prime has cube roots.

No.

The cube root of this number is 1 more than the smallest prime?

The cube root of this number is one more than the smallest prime

No, being a perfect cube would mean it has factors.

The cube root of 21,952 is 28

The number 27 has a cube root of 3, which is 2 (the smallest prime) plus 1.

don't know if I understand your question, but: there are no numbers that are both cube numbers and prime numbers 8 is a factor of 16 that is a cube number (2^3) 2 is a factor of 16 that is a prime number

Yes. For example 3 is the cube of cuberoot(3). However, by definition, a prime number cannot be a PERFECT cube.

8 is the cube of 2

25

Three.Three.Three.Three.