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Spain Mathematical Olympiad
1995 Spain Mathematical Olympiad
4
4
Part of
1995 Spain Mathematical Olympiad
Problems
(1)
solve p(x+y) = xy in integers, where p prime
Source: Spanish Mathematical Olympiad 1995 P4
7/31/2018
Given a prime number
p
p
p
, find all integer solutions of
p
(
x
+
y
)
=
x
y
p(x+y) = xy
p
(
x
+
y
)
=
x
y
.
number theory
Diophantine equation
integer solutions