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2004 Balkan MO
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prime numbers equation volume 2
Source: Balkan Math Olympiad BkMO 2004, problem 2
5/7/2004
Solve in prime numbers the equation
x
y
−
y
x
=
x
y
2
−
19
x^y - y^x = xy^2 - 19
x
y
−
y
x
=
x
y
2
−
19
.
modular arithmetic
number theory
number theory proposed