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Unformatted text preview: Math 465 Problem Set 1
1. Let a, b, c Z. Prove each of the following. (a) If acbc and c = 0, then ab. (b) If ab, then acbc. 2. Prove that if n is odd then 8  n2  1. 3. Prove that 5  n5  n. 4. Prove that if 2p  1 is prime then p is prime. Due Friday, January 25, 2008 5. Let a, m, n be positive integers with a > 1. Prove that am  1  an  1 if and only if m  n. 1 ...
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This note was uploaded on 07/23/2008 for the course MATH 465 taught by Professor Yee during the Spring '08 term at Pennsylvania State University, University Park.
 Spring '08
 YEE
 Math, Number Theory

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