MathDB
Problems
Contests
National and Regional Contests
Malaysia Contests
Malaysia National Olympiad
2018 Malaysia National Olympiad
A6
OMK 2018 Sulong, Section A Problem 6
OMK 2018 Sulong, Section A Problem 6
Source:
June 21, 2021
number theory
powers
prime numbers
Problem Statement
Determine the smallest prime
p
p
p
such that
2018
!
2018!
2018
!
is divisible by
p
3
p^{3}
p
3
, but not divisible by
p
4
p^{4}
p
4
.
Back to Problems
View on AoPS