Question: 6. Show that if 2 +1 is a prime number, then n is a power of 2. [Hint: write n = 2m with m odd.

6. Show that if 2" +1 is a prime number, then

6. Show that if 2" +1 is a prime number, then n is a power of 2. [Hint: write n = 2m with m odd. If m > 1, show that 22 + 1 divides 2" +1.]

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