Math 310 Quiz3

Math 310 Quiz3 - _______ 13. It is not possible for both n...

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00Math 310 Name_______________________________ Quiz #3 2010 True – False (3 pts each) _______ 1. R. L. Moore was famous for the quality of the lectures he delivered in his mathematics classes. _______ 2. 9 ≡ - 15 mod 12. _______ 3. There is no nimber with norm 3. _______ 4. If 2 n - 1 1 mod n , then n is prime. _______ 5. If a 2 b 2 mod n , then a b mod n. _______ 6. ϕ (mn) = ϕ (m) ϕ (n). _______ 7. The linear Diophantine equation 12x – 44y = 38 has no solution. _______ 8. According to Euler’s theorem, 11 15 1 mod 40. _______ 9. If 6a 6b mod 13, then a b mod 13. _______ 10. In public key cryptography, the only number released to those who will send a message is the product pq of two large primes. _______ 11. According to Adler, talented mathematicians have used their analytic abilities effectively in the financial world. _______ 12. The congruence 6x 21 mod 30 has no solution for x.
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Unformatted text preview: _______ 13. It is not possible for both n ≡ 4 mod 20 and n ≡ 12 mod 20. _______ 14. There is no regular solid (Platonic solid) with faces consisting of hexagons. _______ 15. ϕ (2 4 3 2 5) = 240 16. (5 pts) Describe Adler’s attitude regarding the quality of teaching in mathematics classes. 17. (10 pts) Describe how you would calculate the Euler number of a cube. 18. (10 pts) How can you write 6 in two different ways as a product of prime nimbers? How do you know the factors you use are prime? 19. (10 pts) What property of public key cryptography makes it such a difficult system to break? 20. (15 pts) Find the least non-negative residue of each of the following. Show your work. 15 15 mod 13 (69)(352)(45) mod 35 51 82 mod 44 21. (10 pts) Find an integer x that solves the congruence 17x ≡ 4 mod 7. Show your work....
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This note was uploaded on 07/06/2011 for the course M 310P taught by Professor Vick during the Spring '11 term at University of Texas.

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Math 310 Quiz3 - _______ 13. It is not possible for both n...

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