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Miklós Schweitzer
1984 Miklós Schweitzer
3
3
Part of
1984 Miklós Schweitzer
Problems
(1)
Miklós Schweitzer 1984- Problem 3
Source:
9/4/2016
3. Let
a
a
a
and
b
b
b
be positive integers such that when dividing them by any prime
p
p
p
, the remainder of
a
a
a
is always less than or equal to the remainder of
b
b
b
. Prove that
a
=
b
a=b
a
=
b
. (N.16) [P. Erdos, P. P. Pálify]
college contests
Miklos Schweitzer