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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. Which of the following could NOT be included as a step in Euclid's great theorem?**
**(a)** After summation, the new number can be prime or composite. **(b)** Divide a infinite group of primes by the sum of their composites. **(c)** If a new number is found to be composite, then it must have some prime as a divisor. **(d)** Take a finite group of primes and add them together, plus one.

**2. Where did Hippocrates come from?**
**(a)** Rome. **(b)** Athens. **(c)** Constinople. **(d)** Chios.

**3. Which of the following was NOT defined by Euclid?**
**(a)** Even numbers. **(b)** Whole numbers. **(c)** Nominal numbers. **(d)** Odd numbers.

**4. What did Dunham consider extraordinary about the Elements?**
**(a)** The content was totally unique. **(b)** The content was not based on previous authors' work. **(c)** How geometric proofs were presented. **(d)** How Hippocrates ordered the book.

**5. What was Euclid's definition of a prime number?**
**(a)** Numbers which can only be divided by themselves and 1. **(b)** Numbers which contain an infinite number of composite numbers. **(c)** Numbers which do not, and can not, contain a perfect number. **(d)** Numbers which are divisible by 2.

## Short Answer Questions

**1.** How do we know about Hippocrates proofs and theorems?

**2.** What did Gauss set out to prove?

**3.** What was true about Hippocrates's proof?

**4.** What is true about prime numbers?

**5.** "Straight lines in the same plane that will never meet if extended forever" is a definition of what?

This section contains 357 words(approx. 2 pages at 300 words per page) |