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IMO Longlists
1986 IMO Longlists
62
62
Part of
1986 IMO Longlists
Problems
(1)
Determine all pairs (x,y) such that p^x − y^3 = 1
Source:
8/29/2010
Determine all pairs of positive integers
(
x
,
y
)
(x, y)
(
x
,
y
)
satisfying the equation
p
x
−
y
3
=
1
p^x - y^3 = 1
p
x
−
y
3
=
1
, where
p
p
p
is a given prime number.
number theory unsolved
number theory