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

2. What name did Euclid give for numbers that could be divided by numbers other than themselves and one?
(a) Even numbers.
(b) Discrete numbers.
(c) Perfect numbers.
(d) Composite numbers.

3. What did Hippocrates do that advanced mathematical methods?
(a) He created a new ways to disprove theories.
(b) He built theorems based on sequencially more complex proofs.
(c) He demonstrated that geometry does not have to be based on previous knowledge.
(d) He proved that mathematics can be applied in a unlogical order.

4. 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 not considered whole numbers.
(c) Their sum is always another prime number.
(d) They are infinite.

5. Which is one of the common notions presented in Elements?
(a) "Points with equal values can be connected with a line of equal value."
(b) "Things with are equal have an inverse that is equal."
(c) "The inverse of a line makes a circle."
(d) "Things which are equal to the same thing are also equal to each other."

Short Answer Questions

1. Which of the following could NOT be included as a step in Euclid's great theorem?

2. How do we know about Hippocrates proofs and theorems?

3. Where did Hippocrates come from?

4. Which of the following was NOT defined by Euclid?

5. What did Dunham consider extraordinary about the Elements?

(see the answer key)

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