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Contests
National and Regional Contests
Iran Contests
Iran Team Selection Test
2014 Iran Team Selection Test
3
question 3
question 3
Source: iran tst 2014 second exam
May 22, 2014
algebra
polynomial
number theory proposed
number theory
Problem Statement
prove for all
k
>
1
k> 1
k
>
1
equation
(
x
+
1
)
(
x
+
2
)
.
.
.
(
x
+
k
)
=
y
2
(x+1)(x+2)...(x+k)=y^{2}
(
x
+
1
)
(
x
+
2
)
...
(
x
+
k
)
=
y
2
has finite solutions.
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