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1974 All Soviet Union Mathematical Olympiad
197
ASU 197 All Soviet Union MO 1974 n^n has k digits and k^k has n digits
ASU 197 All Soviet Union MO 1974 n^n has k digits and k^k has n digits
Source:
July 4, 2019
number theory
Digits
Problem Statement
Find all the natural
n
n
n
and
k
k
k
such that
n
n
n^n
n
n
has
k
k
k
digits and
k
k
k^k
k
k
has
n
n
n
digits.
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