Discussion:  All Topics 
Topic:  Try to solve this. 
Related Item:  http://mathforum.org/mathtools/tool/3522/ 
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Subject:  RE: Try to solve this. 
Author:  tpowers 
Date:  Aug 18 2004 
OK, I'll start with #3 because that type of question is one of my favorites.
1111. . . (n digits) is never prime if n is composite. That is because, if you
can factor n as p * q (p and q not equal to n or 1), you can split up the 1111.
. . into p chunks of length q; one of these chunks will be a factor. This
should be clear if you try doing long division on 1111. . . because every q
digits you will have a "1" (the chunk goes in), and, since q goes into n evenly,
you won't have any nonchunked digits. You end up generating factors of 1111.
. ., namely, 1 (q times) and 1 (p times).
For example, 91 = 7 * 13, so you could divide 1 (91 times) by 1 (7 times) or 1
(13 times).
By the way, could you please restate question two? I couldn't understand
what it meant when I was doing the rest of the problems.
Thanks for the problems.
 
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