1. The last example given in the assigned section was the hardest part for me to understand. This is primarily because of property (2) on page 91. I don't understand how n can be congruent to 3 or 5 or 1 or 7 (mod n). It seems to me that n would always be congruent to 0. I imagine that there is some typo in the book, but I don't know what it would be or how to fix it.
2. Also, it is interesting/difficult to understand how you can mathematically equate a number like (2/3211) to +,-1. At first I thought that they were just symbols used to replace one another, but then they started being used in mathematical calculations. I'm just not quite sure I understand how 2/3211 can legitimately be said to equal plus or minus 1.
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