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freemind
Posts: 337
Location: MIT or Moldova
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Posted: Mar 03, 2008, 8:51 am •
# 1
Let  be a prime number. Solve in  the equation  .
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The fate of equilibrium is to end the eternity...
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Umut Varolgunes
Posts: 271
Location: izmir
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Posted: Mar 03, 2008, 10:58 am •
# 2
 doesn't give any solution so  . hence 
if  and  are bigger than 1;  and  so  and in the equality case  gives 
if or is  say  .  so  or  . checking yields only is a solution.
so the solutions are  |
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Albanian Eagle
Posts: 1702
Location: Pasadena CA
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Posted: Mar 07, 2008, 7:14 pm •
# 3
this reminds me of the problem:
for which  does the equation  have a solution. 
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Gjergji Zaimi
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hana
Posts: 40
Location: Serbia
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Posted: Apr 05, 2008, 7:29 am •
# 4
And what is the solution of problem that Albanian Eagle wrote ? Is it well-known ? 
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