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Reading Questions 2.3 Reading Questions

1.

Use Sage to express \(123456792\) as a product of prime numbers.

2.

Find the greatest common divisor of \(84\) and \(52\text{.}\)

3.

Find integers \(r\) and \(s\) so that \(r(84)+s(52)=\gcd(84,52)\text{.}\)

4.

Explain the use of the term “induction hypothesis.”

5.

What is Goldbach's Conjecture? And why is it called a “conjecture”?