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Number theory

Posted: Thu Feb 07, 2013 10:55 pm
by famim2011
Prove that if 'a' belongs to 'Z' then the only positive divisor of both 'a' and 'a+1' is 1.

Re: Number theory

Posted: Thu Feb 07, 2013 11:21 pm
by nafistiham
When $k$ divides $a$ and $a+1$ then, $k$ divides $a+1-a=1$
so, $k=1$