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National and Regional Contests
PEN Problems
PEN D Problems
22
22
Part of
PEN D Problems
Problems
(1)
D 22
Source:
5/25/2007
Prove that
198
0
198
1
1982
+
198
2
198
1
1980
1980^{1981^{1982}} + 1982^{1981^{1980}}
198
0
198
1
1982
+
198
2
198
1
1980
is divisible by
198
1
1981
1981^{1981}
198
1
1981
.
logarithms
Congruences