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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) Take a finite group of primes and add them together, plus one.
(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) After summation, the new number can be prime or composite.

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

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

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

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

Short Answer Questions

1. Which of the following was an important proposition given by Euclid's number theory?

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

3. What was Hippocrates famous for?

4. Where did Hippocrates come from?

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

(see the answer key)

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