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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 sum did Euler find for the series?**
**(a)** The sum was infinite. **(b)** π²/6 **(c)** 1. **(d)** 2.

**2. What did Plato use his inspiration from Euclid for?**
**(a)** To classify geometric shapes by their complexity. **(b)** To construct his theory on the shape of the Universe. **(c)** To prove Euclid's number theory was incorrect. **(d)** To create a new theorem of algebra.

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

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

**5. Which of the following could NOT be included as a step in Euclid's great theorem?**
**(a)** Divide a infinite group of primes by the sum of their composites. **(b)** If a new number is found to be composite, then it must have some prime as a divisor. **(c)** After summation, the new number can be prime or composite. **(d)** Take a finite group of primes and add them together, plus one.

## Short Answer Questions

**1.** Which was true of Euclid's number theory?

**2.** What were the main technique(s) that Euler used to find the sum of the series?

**3.** What is a "depressed cubic"?

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

**5.** Who was del Ferro's student?

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