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All-Russian Olympiad
1987 All Soviet Union Mathematical Olympiad
444
ASU 445 All Soviet Union MO 1987 (n+2)/1^{1987} + 2^{1987} + ... + n^{1987}
ASU 445 All Soviet Union MO 1987 (n+2)/1^{1987} + 2^{1987} + ... + n^{1987}
Source:
August 7, 2019
divisible
number theory
Problem Statement
Prove that
1
1987
+
2
1987
+
.
.
.
+
n
1987
1^{1987} + 2^{1987} + ... + n^{1987}
1
1987
+
2
1987
+
...
+
n
1987
is divisible by
n
+
2
n+2
n
+
2
.
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