MathDB
Problems
Contests
International Contests
IMO Longlists
1986 IMO Longlists
62
Determine all pairs (x,y) such that p^x − y^3 = 1
Determine all pairs (x,y) such that p^x − y^3 = 1
Source:
August 29, 2010
number theory unsolved
number theory
Problem Statement
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.
Back to Problems
View on AoPS