MathDB
Problems
Contests
National and Regional Contests
Korea Contests
Korea Junior Mathematics Olympiad
1999 Korea Junior Math Olympiad
6
6
Part of
1999 Korea Junior Math Olympiad
Problems
(1)
1999 KJMO P6 Smallest prime divisor of m
Source: 1999 KJMO P6
6/30/2024
For a positive integer
n
n
n
, let
p
(
n
)
p(n)
p
(
n
)
denote the smallest prime divisor of
n
n
n
. Find the maximum number of divisors
m
m
m
can have if
p
(
m
)
4
>
m
p(m)^4>m
p
(
m
)
4
>
m
.
KJMO
Divisors
number theory