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1970 IMO Longlists
2
Matching Digits
Matching Digits
Source: ILL 1970 - Problem 2.
May 24, 2011
modular arithmetic
Euler
number theory unsolved
number theory
Problem Statement
Prove that the two last digits of
9
9
9
9^{9^{9}}
9
9
9
and
9
9
9
9
9^{9^{9^{9}}}
9
9
9
9
are the same in decimal representation.
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