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  • If Y = {x | x is a positive factor of the number 2^(p – 1) (2^p – 1), where 2^p – 1 is a prime number}. Write Y in the roaster form.

If Y = \{x : x\text{ is a positive factor of the number }2^{p - 1} (2^p - 1)\text{, where }2^p - 1\text{ is a prime number} \}. Write Y in the roaster form.
 

Answers (1)

Given that 

Y = \{x : x\text{ is a positive factor of the no. }2^{p - 1} (2^p - 1)\text{, where }2^p - 1\text{ is a prime number} \}

The factors of 2^{p-1} are 1,2,2^2, 2^3,...,2^{p-1}

The factors of 2^p -1 are 1 and 2^p -1

Hence, Y = \left\{1,2,2^2,2^3,...,2^{p-1},2^{p}-1\right\}

 

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