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This quiz consists of 5 multiple choice and 5 short answer questions through A Sampler of Euler's Number Theory.

Multiple Choice Questions

1. Where was Neil's Abel from?
(a) Norway.
(b) Great Britian,
(c) Ireland.
(d) Finland.

2. What was Hippocrates famous for?
(a) His proof on right triangles.
(b) His theorem on the quadrature of the lune.
(c) His proof defining gravity.
(d) His ability to construct circles without a compass.

3. What was Euclid's definition of a prime number?
(a) Numbers which contain an infinite number of composite numbers.
(b) Numbers which can only be divided by themselves and 1.
(c) Numbers which are divisible by 2.
(d) Numbers which do not, and can not, contain a perfect number.

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

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

Short Answer Questions

1. Which of the following was one of Gauss' early discoveries?

2. What did Euler's sum surprisingly connect?

3. Dunham showed that Heron's proof could also be used as which of the following?

4. What did Dunham discuss for many pages in this chapter?

5. Which of the following were an example of twin primes?

(see the answer key)

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