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2000 Harvard-MIT Mathematics Tournament
47
47
Part of
2000 Harvard-MIT Mathematics Tournament
Problems
(1)
2000 Guts #47:
Source:
10/25/2014
Find an
n
<
100
n<100
n
<
100
such that
n
⋅
2
n
−
1
n\cdot 2^n-1
n
⋅
2
n
−
1
is prime. Score will be
n
−
5
n-5
n
−
5
for correct
n
n
n
,
5
−
n
5-n
5
−
n
for incorrect
n
n
n
(
0
0
0
points for answer
<
5
<5
<
5
)