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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 was an important proposition given by Euclid's number theory?**
**(a)** Numbers from one to ten are only divisible by composite numbers. **(b)** Any perfect number is divisible by some composite number. **(c)** Any composite number is divisible by some prime number. **(d)** Any even number is divisible by 3.

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

**3. Which of the following was one of Euclid's great theorems?**
**(a)** There exists only infinite and whole numbers. **(b)** There exists an finite number of prime numbers. **(c)** There exists an infinite number of prime numbers. **(d)** Prime numbers are more comples than discrete numbers.

**4. Which of Euclid's postulates troubled many of the following generations of mathematicians?**
**(a)** Euclid's postulate on parallel lines. **(b)** Euclid's proof on right triangles. **(c)** Euclid's postulate on creating an arc. **(d)** Euclid's postulate on right triangles.

**5. Which of the following was NOT one of the things Dunham claimed was ingenious about Euclid's proof of the Pythagorean theorem?**
**(a)** Euclid constructed squares on the sides of right triangles. **(b)** Euclid used propositions about similar angles and parallel lines. **(c)** Euclid stated that the diagonal hypotenuse of a right triangle is equal to the sums of the squares of the two legs. **(d)** Euclid used his own axioms and propositions to show relationships,

## Short Answer Questions

**1.** What provided most of the content in the book Elements?

**2.** What did the Pythagorean Theorem accomplish for mathematics?

**3.** Which was true of Euclid's number theory?

**4.** Which of the following were an example of twin primes?

**5.** Which of the following was NOT one of Gauss' discoveries?

This section contains 391 words(approx. 2 pages at 300 words per page) |