Difference between revisions of "Mock AIME 3 Pre 2005 Problems/Problem 12"

 
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<math>12.</math> Determine the number of integers <math>n</math> such that <math>1 \le n \le 1000</math> and <math>n^{12} - 1</math> is divisible by <math>73</math>.
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==Problem==
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Determine the number of integers <math>n</math> such that <math>1 \le n \le 1000</math> and <math>n^{12} - 1</math> is divisible by <math>73</math>.
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==Solution==
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{{solution}}
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==See also==

Revision as of 08:30, 14 February 2008

Problem

Determine the number of integers $n$ such that $1 \le n \le 1000$ and $n^{12} - 1$ is divisible by $73$.

Solution

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See also