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Forum URL: http://www.cut-the-knot.org/cgi-bin/dcforum/forumctk.cgi
Forum Name: High school
Topic ID: 217
Message ID: 0
#0, integer?
Posted by leiyou on Dec-08-02 at 10:13 PM
Sorry, this prob may have been posted before

The problem goes like this

for what integral value of n will the expression

2*n / (n-4) be a positive integer.

obviously the n must be greater than 4

and we can show that the expression is integer for
n = 5, 6, 8, 12

however, how do we prove that no n from 13 and onwards will give the expression an integral value?