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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 is an example of a perfect number?
(a) 1.
(b) 20.
(c) 6.
(d) 10.

2. 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.

3. Which of the following were an example of twin primes?
(a) 11 and 13.
(b) 19 and 22.
(c) 2 and 6.
(d) 15 and 16.

4. What were the proofs in Elements based on?
(a) Lindeman's method.
(b) Ancient greek geometry.
(c) Novel notions.
(d) Basic definitions.

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

Short Answer Questions

1. What did Plato use his inspiration from Euclid for?

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

3. Which of the following was NOT one of the basic definitions in Elements?

4. What did the Pythagorean Theorem accomplish for mathematics?

5. What provided most of the content in the book Elements?

(see the answer key)

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