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Czech-Polish-Slovak Match
1995 Czech and Slovak Match
6
Hard Algebra
Hard Algebra
Source:
August 14, 2016
algebra
number theory
prime numbers
Problem Statement
Find all triples
(
x
;
y
;
p
)
(x; y; p)
(
x
;
y
;
p
)
of two non-negative integers
x
,
y
x, y
x
,
y
and a prime number p such that
p
x
ā
y
p
=
1
p^x-y^p=1
p
x
ā
y
p
=
1
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