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

**2. How did Euler prove if the number 4,294,967,297 was prime or composite?**
**(a)** He used Newton's calulus methods. **(b)** He factored it. **(c)** He divided it by 2. **(d)** He used his own rule of squares.

**3. Where did Euler study at the age of 20?**
**(a)** University of Moscow. **(b)** Cambrigde. **(c)** Oxford. **(d)** The Academy in St. Petersburg.

**4. What name did Euclid give for numbers that could be divided by numbers other than themselves and one?**
**(a)** Even numbers. **(b)** Composite numbers. **(c)** Discrete numbers. **(d)** Perfect numbers.

**5. Which of the following was NOT one of Gauss' discoveries?**
**(a)** That under Euclid's definition parallel lines can intersect. **(b)** That angles in a triangles can not add up to more than 180 degrees. **(c)** "Non-euclidean" geometry. **(d)** That there is no apparent contraction to the assumption that the sum of angles in a triangle can have fewer than 180 degrees.

## Short Answer Questions

**1.** What does the Pythagorean Theorem state?

**2.** Which of the following is a series that the Bernoullis proposed did not converge on a finite sum?

**3.** Which of the following is true about pi, as described by Dunham.

**4.** In general, what did Euclid's number theory describe?

**5.** What was the same about Apollonius and Erosthanes?

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