MathDB
Problems
Contests
National and Regional Contests
China Contests
ASDAN Math Tournament
2015 ASDAN Math Tournament
34
2015 Guts #34
2015 Guts #34
Source:
August 2, 2022
2015
Guts Test
Problem Statement
Compute the number of natural numbers
1
≤
n
≤
1
0
6
1\leq n\leq10^6
1
≤
n
≤
1
0
6
such that the least prime divisor of
n
n
n
is
17
17
17
. Your score will be given by
⌊
26
min
{
(
A
C
)
2
,
(
C
A
)
2
}
⌋
\lfloor26\min\{(\tfrac{A}{C})^2,(\tfrac{C}{A})^2\}\rfloor
⌊
26
min
{(
C
A
)
2
,
(
A
C
)
2
}⌋
, where
A
A
A
is your answer and
C
C
C
is the actual answer.
Back to Problems
View on AoPS