Determine Whether the Statement Is True or False$\text { If } 2 ^ { n } - 1 \text { is prime, then } 2 ^ { n - 1 } \left( 2 ^ { n } - 1 \right) \text { is perfect. }$

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The Answer of Determine Whether the Statement Is True or False$\text { If } 2 ^ { n } - 1 \text { is prime, then } 2 ^ { n - 1 } \left( 2 ^ { n } - 1 \right) \text { is perfect. }$

Determine Whether the Statement Is True or False $\text { If } 2 ^ { n } - 1 \text { is prime, then } 2 ^ { n - 1 } \left( 2 ^ { n } - 1 \right) \text { is perfect. }$

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Determine Whether the Statement Is True or False If 2n−1 is prime, then 2n−1(2n−1) is perfect. \text { If } 2 ^ { n } - 1 \text { is prime, then } 2 ^ { n - 1 } \left( 2 ^ { n } - 1 \right) \text { is perfect. } If 2n−1 is prime, then 2n−1(2n−1) is perfect.

Definitions:

Determine Whether the Statement Is True or False $\text { If } 2 ^ { n } - 1 \text { is prime, then } 2 ^ { n - 1 } \left( 2 ^ { n } - 1 \right) \text { is perfect. }$