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This quiz consists of 5 multiple choice and 5 short answer questions through Euclid and the Infinitude of Primes.

## Multiple Choice Questions

**1. What was Hippocrates famous for?**
**(a)** His ability to construct circles without a compass. **(b)** His proof defining gravity. **(c)** His theorem on the quadrature of the lune. **(d)** His proof on right triangles.

**2. What did the Pythagorean Theorem accomplish for mathematics?**
**(a)** The ability to find square roots. **(b)** The concept of constructing useful mathematics. **(c)** The ability to measure angles. **(d)** The concept of providing a logical proof.

**3. Which of the following is true in modern math about twin primes?**
**(a)** We don't know if they are finite or infinite. **(b)** They are infinite. **(c)** Their sum is always another prime number. **(d)** They are not considered whole numbers.

**4. What is true about prime numbers?**
**(a)** That for every group of prime numbers, there exists at least one more prime. **(b)** Prime numbers are not divisible by other numbers. **(c)** Prime numbers can never be an odd number. **(d)** Prime numbers can not exist in a finite series.

**5. What did Euclid do in his 48th proposition?**
**(a)** Euclid demonstrated how to use the Pythagorean Theorem. **(b)** Euclid proved the converse of the Pythagorean Theorem. **(c)** Euclid demonstrated the faults of the Pythagorean Theorem. **(d)** Euclid proved the Pythagorean Theorem.

## Short Answer Questions

**1.** What was Euclid's definition of a prime number?

**2.** Which of the following was NOT one of the things Dunham claimed was ingenious about Euclid's proof of the Pythagorean theorem?

**3.** Who was the author of the book Elements?

**4.** Which of the following is false about the modern implications of Euclid's number theory?

**5.** What does the Pythagorean Theorem state?

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