Friday, October 22, 2010

6.4.1, due on October 25

1. This may be ridiculous, but on page 184 at the bottom where it lists the equivalent squares mod 3837523, I don't really understand why the numbers on either side of the equality aren't the same. Because aren't the primes just the factorization of the number on the left? I guess the matrix and linear dependencies mod 2 just threw me off and I'm not sure why we go about it that way.\

2. For one thing, I thought table 6.1 was pretty cool. It's amazing how far we've come in 50 years. In 50 more years will we have a fast method for factoring any large number without any special conditions? It is also cool that there was a jump in factoring capabilities because of the increased usefulness of factoring in cryptography.

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