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1997 Italy TST
3
Italy TST
Italy TST
Source: Italian TST 1997
May 5, 2017
number theory
Problem Statement
Determine all triples
(
x
,
y
,
p
)
(x,y, p)
(
x
,
y
,
p
)
with
x
x
x
,
y
y
y
positive integers and
p
p
p
a prime number verifying the equation
p
x
ā
y
p
=
1
p^x -y^p = 1
p
x
ā
y
p
=
1
.
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