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

2. Which of the following is false about the modern implications of Euclid's number theory?
(a) Euclid's recipe for constructing even perfect numbers is incorrect.
(b) Euclid gave a good idea for how to construct even perfect numbers.
(c) Great mathematicians continue to puzzle over some aspects of Euclid's number theory.
(d) Whether there are no odd perfect numbers is still not known.

3. 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 composite number is divisible by some prime number.
(c) Any perfect number is divisible by some composite number.
(d) Any even number is divisible by 3.

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

5. What did Gauss set out to prove?
(a) That Euclid's postulate on straight lines was incorrect.
(b) That a circle can have less than 360 degrees.
(c) That a right angle is always equal to 90 degrees.
(d) That the sum of the angles in a triangle is 180 degrees.

Short Answer Questions

1. Numbers whose divisor add up to itself, was considered which type of number according to Euclid?

2. In general, what did Euclid's number theory describe?

3. What did Euclid do in his 48th proposition?

4. How did Lindeman prove his conclusion?

5. Which was true of Euclid's number theory?

(see the answer key)

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