MATH135 - Assignment5 Solutions

# MATH135 - Assignment5 Solutions - MATH 135 Assignment#5...

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Recommended Problems 1. Text, page 51, #54 2. Text, page 51, #58 3. Text, page 52, #71 4. Text, page 54, #92 5. Text, page 55, #107 6. Text, page 55, #108 7. Suppose that p is a prime number with p > 3. (a) Prove that the remainder when p is divided by 4 is 1 or 3. (b) Prove that the remainder when p is divided by 6 is 1 or 5. 8. (a) Prove that if n 3, then n ! + 3 is not prime. (b) Prove that for every k P , k consecutive positive integers that are not prime can be found. (A good way to prove this is to explicitly show what these k integers could be.)
MATH 135 Fall 2007 Assignment #5 Solutions Hand-In Problems 1. (a) (84 808) 9 = 8 × 9 4 + 4 × 9 3 + 8 × 9 2 + 0 × 9 + 8 = 52488 + 2916 + 648 + 0 + 8

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## This note was uploaded on 09/21/2008 for the course MATH 135 taught by Professor Andrewchilds during the Fall '08 term at Waterloo.

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MATH135 - Assignment5 Solutions - MATH 135 Assignment#5...

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