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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.
(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?
This section contains 365 words
(approx. 2 pages at 300 words per page)