MathDB
Problems
Contests
National and Regional Contests
Turkey Contests
National Olympiad First Round
2005 National Olympiad First Round
10
10
Part of
2005 National Olympiad First Round
Problems
(1)
P10 [Number Theory] - Turkish NMO 1st Round - 2005
Source:
10/26/2013
Which of the following does not divide
n
2225
−
n
2005
n^{2225}-n^{2005}
n
2225
−
n
2005
for every integer value of
n
n
n
?
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A
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3
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B
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5
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C
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7
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D
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11
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E
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23
<span class='latex-bold'>(A)</span>\ 3 \qquad<span class='latex-bold'>(B)</span>\ 5 \qquad<span class='latex-bold'>(C)</span>\ 7 \qquad<span class='latex-bold'>(D)</span>\ 11 \qquad<span class='latex-bold'>(E)</span>\ 23
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3
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5
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7
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D
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11
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E
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23
modular arithmetic
Euler