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Unformatted text preview: In the contrary case, all of the S k have a non-zero remainder when divided by 1998. By the pigeonhole principle (there are 1998 sums but only 1997 possible remainder -- 1 to 1997) two of the sums must have the same remainder upon division by 1998. The difference of these two sums is divisible by 1998. this page....
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This note was uploaded on 03/01/2010 for the course MATH 301 taught by Professor Albertodelgado during the Spring '10 term at Bradley.
- Spring '10