Homework 4: 6.2, 6.3, 6.4, 6.9 (there is an obvious first value of n to try which does give a composite value (not 1!): I suggest trying n=1, n=2, n=3 and so forth and finding out how long it takes to arrive at the first counterexample by this method); 6.11, 6.13
Homework 3: 5.2, 5.5, 5.6, 5.11, 5.12. There will be another section 5 assignment.
Homework 4: 5.13, 5.16, 5.20, 5.22, 5.24. Due next Wednesday.
challenge problem (not graded, but please turn it in if you have a solution): prove that x0 = 0 for any number x, using only the rules in Appendix D.
A natural number m is composite if and only if there is a natural number k such that 1 < k < m and m is divisible by k.
A natural number m is special if and only if there is a unique natural number k such that 1 < k < m and m is divisible by k. [this is a word I made up].
Give an example of a number which is composite but not special. Find some special numbers, and give a brief description of what the special numbers are in familiar mathematical terms without using the word "special".
Homework 2: 4.1aceg, 4.2aeik, 4.4, 4.5, 4.6 (use truth tables for the last three questions), 4.12abd (an exploratory question: see what you discover), 7.7, 7.8, 7.11 beh, 7.17. Due next FRIDAY (I forgot about MLK day).