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Dutch Mathematical Olympiad
1964 Dutch Mathematical Olympiad
3
(n + 1)(n +10) = q^2 for maxinum n
(n + 1)(n +10) = q^2 for maxinum n
Source: Netherlands - Dutch NMO 1964 p3
January 31, 2023
number theory
diophantine
Diophantine equation
Perfect Square
Problem Statement
Solve
(
n
+
1
)
(
n
+
10
)
=
q
2
(n + 1)(n +10) = q^2
(
n
+
1
)
(
n
+
10
)
=
q
2
, for certain
q
q
q
and maximum
n
n
n
.
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