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1978 All Soviet Union Mathematical Olympiad
254
ASU 254 All Soviet Union MO 1978 (1978^m-1) not divisible by (1000^m-1)
ASU 254 All Soviet Union MO 1978 (1978^m-1) not divisible by (1000^m-1)
Source:
July 6, 2019
number theory
divisible
Problem Statement
Prove that there is no
m
m
m
such that (
197
8
m
−
1
1978^m - 1
197
8
m
−
1
) is divisible by (
100
0
m
−
1
1000^m - 1
100
0
m
−
1
).
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