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Unformatted text preview: 4. (1 point) A “twin prime pair” is an ordered pair of prime numbers, such that the second element of the ordered pair is two more than the ﬁrst element of the ordered pair. Describe symbolically the set of “twin prime pairs”. 5. (1 point) Use a universal quantiﬁer, and an existential quantiﬁer, to express symbolically the fact that there are inﬁnitely many primes. (Express the fact that whenever you are given a prime, you can ﬁnd a prime which is bigger). 6. (2 points) Is the following statement true or false? Give a convincing argument (in complete and clear English sentences with symbols as necessary) to support your conclusion. ∀ p ∈ P, ∃ x ∈ E, ∃ y ∈ T, such that p + x = y. Page 2...
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 Fall '08
 Weissman
 Prime Numbers, Sets, Prime number, twin prime pairs, twin prime pair, clear English sentences

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