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Topic: Chinese Remainder Theorem Question
Replies: 1   Last Post: Nov 11, 2004 3:04 PM

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Rob

Posts: 4
Registered: 1/25/05
Chinese Remainder Theorem Question
Posted: Nov 10, 2004 4:34 PM
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Here are a couple problems I could use some help with. I am sure I
can solve them, but I am not too sure I can "prove" how they work.

Here they are:

1.) Find a number with these three properties: when you divide the
number by 7, the remainder is 4; when you divide the original number
by 11, the remainder is 2; when you divide the original number by 13,
the remainder is 9.

2.) Find a number with these three properties: when you divide the
number by 7, the remainder is "s"; when you divide the number by 11;
the remainder is "e", and when you divide the number by 13, the
remainder is "t"

3.) Generalize the Chinese remainder theorem to 4 remainders: find a
formula that will work, when you are a given remainders by 5, 7, 11,
and 13.

If there is anyone out there that can help me with this and knows a
little about Chinese Theorem properties, that would be most helpful!!!

Thanks!

Ron

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