We have:
z = (2^(mn) - 1)/[(2^m - 1)(2^n - 1)], where (2^m - 1) and (2^n - 1) are prime numbers.
Prove that (2^m - 1) and (2^n - 1) are not the only prime factors of z.
I tried to solve it writing z = (2^m - 1)^a * (2^n - 1)^b and proving that it is not correct. But I don't know how. I also...
Well... You are great! Thank you so much.
I don't want to be importunate, but do you have any ideas how can I solve two remaining problems?
2.Prove that a composite Mersenne number ((2^d - 1) is composite, d is prime) has at least 2 prime divisors.
3.Is it possible that (2^t - 1)^a * (2^u -...
Oh.. Would it be possible for you to write it in latex or annex a photo of those equations? I can't fully understand it this way.. Please, I would really appreciate.
Hello. I've got three questions.
1.Can a Mersenne number be a multiple of another Mersenne number? Prove. (I mean is that possible that 2^a - 1 | 2^b - 1 where a, b are prime numbers)
2.Can a Mersenne number be equal to X^n ? (X and n are integer). Prove. (This Mersenne number is 2^d - 1 where...