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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 series was Euler most famous for?**
**(a)** 1 + 1/2³ + 1/3³ + 1/4³ . . . 1/k³ . . . **(b)** 1 + 1/2 + 1/6 + 1/10 + 1/15 . . . **(c)** 1 + 1/2 + 3/4 + 4/5 . . . **(d)** 1 + 1/4 + 1/9 + 1/16 . . . + 1/k² . . .

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

**3. Exactly what limit is reached at a quartic equation?**
**(a)** The limit of algebra. **(b)** The limit of logical geometric proofs. **(c)** The limit of the decompressed cubic method. **(d)** The limit of the Pythagorean Theorem.

**4. Which of the following is false about the modern implications of Euclid's number theory?**
**(a)** Euclid's recipe for constructing even perfect numbers is incorrect. **(b)** Great mathematicians continue to puzzle over some aspects of Euclid's number theory. **(c)** Whether there are no odd perfect numbers is still not known. **(d)** Euclid gave a good idea for how to construct even perfect numbers.

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

## Short Answer Questions

**1.** What name did Euclid give for numbers that could be divided by numbers other than themselves and one?

**2.** What else, besides a solution to cubic equations, was in Cardano's book?

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

**4.** Who was Euler's teacher?

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

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