Question: Let n 2 2 be an integer, such that 2 1 is prime number (eg. if n = 7 then 2 1 = 127 is

Let n 2 2 be an integer, such that 2\" 1 is prime number (eg. if n = 7 then 2" 1 = 127 is a prime number). Show that then the sum of all positive divisors of m = 2"\"1 - (2\" 1) is equal 2\" - (2'n 1). Is this also true if 2\" 1 is not prime
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