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6
Purple Comet 2018 MS problem 6
Purple Comet 2018 MS problem 6
Source:
March 19, 2020
number theory
Problem Statement
Find the greatest integer
n
n
n
such that
1
0
n
10^n
1
0
n
divides
2
1
0
5
5
2
10
1
0
5
2
\frac{2^{10^5} 5^{2^{10}}}{10^{5^2}}
1
0
5
2
2
1
0
5
5
2
10
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