Difficult: I got lost on the proof of Euler's theorem on the relation of perfect numbers to Mersenne primes. I don't understand how we can directly state the value of the sum of the factors of u.
Reflective: I didn't know that perfect numbers had any way to directly calculate them. I guess they still don't since Mersenne primes don't either, but it is still interesting to see this relationship. I wonder what this means in a larger picture sense.
Thursday, October 6, 2011
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