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French Mathematical Olympiad
1992 French Mathematical Olympiad
Problem 5
floor((10^1992)/(10^83+7)), number of digits 1
floor((10^1992)/(10^83+7)), number of digits 1
Source: France 1992 P5
May 13, 2021
number theory
floor function
Problem Statement
Determine the number of digits
1
1
1
in the integer part of
1
0
1992
1
0
83
+
7
\frac{10^{1992}}{10^{83}+7}
1
0
83
+
7
1
0
1992
ā
.
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