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This quiz consists of 5 multiple choice and 5 short answer questions through The Extraordinary Sums of Leonhard Euler.

Multiple Choice Questions

1. What didn't Euler attempt?
(a) A series of sequencially smaller terms.
(b) A series where exponents are odd.
(c) A series where exponents are even.
(d) A series starting with the number 1.

2. What allowed Cardano to justify publishing his book?
(a) He was dead, and the book was really published by his student.
(b) He was punished as a heretic,
(c) He found del Ferro's orgininal solution to the cubic.
(d) He found Fior's documents which spoke against Tartaglia.

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

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

5. Which of the following is true in modern math about twin primes?
(a) They are not considered whole numbers.
(b) Their sum is always another prime number.
(c) They are infinite.
(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. Which of the following is an example of a perfect number?

3. What is the sum of the series 1 + 1/2³ + 1/3³ + 1/4³ ... 1/k³ . . .?

4. Who was Neil's Abel?

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

(see the answer key)

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