describe the following in roster form a={x: x is a positive factor of (2^n-1)(2 -1) where 2^n-1 is prime} - Maths - Quadratic Equations

Question

describe the following in roster form a={x: x is a positive factor
of (2^n-1)(2?-1) where 2^n-1 is prime}

Amit Shukla · Accepted Answer

Dear Student,
If your query is a={x:x is a positive factor of (2^(n-1))(2^n-1),
where 2^(n-1) is prime}, then here is the solution;

2n- 1(2n - 1) =
21(2n - 1)
= 2(22 - 1) [ because 2n - 1 =
21 so n- 1 = 1 and therefore n = 2]
= 2(4 - 1) = 2 x 3 = 6
therefore , a = {1,2,3,6} [because 1,2,3 and 6 are factors of
6}

Regards

describe the following in roster form a={x: x is a positive factor of (2^n-1)(2?-1) where 2^n-1 is prime}