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Poland - Second Round
1987 Poland - Second Round
5
p^x-y^3 = 1
p^x-y^3 = 1
Source: Polish MO Recond Round 1987 p5
September 9, 2024
number theory
diophantine
Diophantine equation
Problem Statement
Determine all prime numbers
p
p
p
and natural numbers
x
,
y
x, y
x
,
y
for which
p
x
ā
y
3
=
1
p^x-y^3 = 1
p
x
ā
y
3
=
1
.
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