The example at hte beginning of 6.4.1 on the quadratic sieve didn't make sense. I didn't understand where they were were getting their numbers. It seemed like they just fell from the sky. It started with 9398^2 is congruent to 5^5*19. After that, I didn't see how they got 19095^2 is congruent to 2^2*5*11*13*19 all (mod 3837523). It was neat to see how the gcd helped us find another factor.
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