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Problems
Contests
National and Regional Contests
Turkey Contests
National Olympiad First Round
1998 National Olympiad First Round
10
10
Part of
1998 National Olympiad First Round
Problems
(1)
number of divisor of p+q
Source: 0
4/23/2009
Let
p
p
p
and
q
q
q
be two consecutive terms of the sequence of odd primes. The number of positive divisor of p \plus{} q, at least
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(
A
)
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2
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(
B
)
<
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3
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>
(
C
)
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4
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(
D
)
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5
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(
E
)
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6
<span class='latex-bold'>(A)</span>\ 2 \qquad<span class='latex-bold'>(B)</span>\ 3 \qquad<span class='latex-bold'>(C)</span>\ 4 \qquad<span class='latex-bold'>(D)</span>\ 5 \qquad<span class='latex-bold'>(E)</span>\ 6
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p
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c
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(
A
)
<
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s
p
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2
<
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a
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>
(
B
)
<
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>
3
<
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a
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x
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b
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′
>
(
C
)
<
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s
p
an
>
4
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s
p
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a
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′
>
(
D
)
<
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s
p
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>
5
<
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a
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′
>
(
E
)
<
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p
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6