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Akdeniz University MO
1998 Akdeniz University MO
1
1
Part of
1998 Akdeniz University MO
Problems
(2)
perfect square (easy)
Source:
1/30/2016
Prove that, for
k
ā
Z
+
k \in {\mathbb Z^+}
k
ā
Z
+
k
(
k
+
1
)
(
k
+
2
)
(
k
+
3
)
k(k+1)(k+2)(k+3)
k
(
k
+
1
)
(
k
+
2
)
(
k
+
3
)
is not a perfect square.
number theory
equation
Perfect Square
question
Source:
1/30/2016
Whichever
3
3
3
odd numbers is given. Prove that we can find a
4.
4.
4.
odd number such that, sum of squares of the these numbers is a perfect square.
number theory