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

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

3. What did Euler prove about 2²ⁿ + 1?
(a) That the statement is always a composite number.
(b) That the statement is neither prime nor composite.
(c) That the statment is sometimes prime and sometimes composite.
(d) That the statement is always a prime number.

4. In what century did Archimedes live?
(a) First century A.D,
(b) Twelthf century A.D.
(c) Nineteeth century A.D.
(d) Third century B.C.

5. What did most of Heron's work deal with?
(a) Practical solutions to public problems.
(b) Practical mathematics applications.
(c) Philosophical questions on the origins of the universe.
(d) Theoretical mathematics.

Short Answer Questions

1. Besides being a mathematician, what else other work was Archimedes famous for?

2. As described by Dunham, what did Archimedes demonstrate first in his proof on pi?

3. What sum did Euler find for the series?

4. How do we know about Hippocrates proofs and theorems?

5. How did Euler prove if the number 4,294,967,297 was prime or composite?

(see the answer key)

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