Let $n\geq 3 $ be an odd number . Show that there is a number in the set ,
{$ {2}^{1}-1,{2}^{2}-1,{2}^{3}-1,......,{2}^{n-1}-1 $}
which is divisible by n .
USSR MO
Re: USSR MO
this is obvious by euler's theorem .
so , skip this and try in another way .
so , skip this and try in another way .
Re: USSR MO
I have got a solution using pigeonhole principle and contradiction.
"Questions we can't answer are far better than answers we can't question"
Re: USSR MO
actually i wanted thattanmoy wrote:I have got a solution using pigeonhole principle and contradiction.