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PEN H Problems
56
H 56
H 56
Source:
May 25, 2007
Diophantine Equations
Problem Statement
Prove that the equation
∏
c
y
c
(
x
1
−
x
2
)
=
∏
c
y
c
(
x
1
−
x
3
)
\prod_{cyc} (x_1-x_2)= \prod_{cyc} (x_1-x_3)
∏
cyc
(
x
1
−
x
2
)
=
∏
cyc
(
x
1
−
x
3
)
has a solution in natural numbers where all
x
i
x_i
x
i
are different.
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