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

2. What did Gauss do with his best work?
(a) He gave it to his students.
(b) He gave it to his son to publish.
(c) He did not publish it.
(d) He published it.

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

4. What was most noticeable about Euler at a young age?
(a) He was not very quick with arithmatic.
(b) He was very athletic.
(c) He had a remarkable memory.
(d) He had an aptitude for literature.

5. What was similar about both Euler and Gauss as children?
(a) They both showed incredible abilities in mathematics.
(b) They both were late to attend school.
(c) They both showed a desire to lead a simple life.
(d) They both were too poor to attend a Universtiy.

Short Answer Questions

1. To how many decimal places did Newton determine the number for pi?

2. According to Dunham, who was most able to collect knowledge from around the globe?

3. Which of the following is INCORRECT, and not used in Archimedes proof of his theory?

4. What did British scholars accuse Leibniz of?

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

(see the answer key)

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