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Problems
Contests
National and Regional Contests
Netherlands Contests
Dutch Mathematical Olympiad
1964 Dutch Mathematical Olympiad
3
3
Part of
1964 Dutch Mathematical Olympiad
Problems
(1)
(n + 1)(n +10) = q^2 for maxinum n
Source: Netherlands - Dutch NMO 1964 p3
1/31/2023
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
.
number theory
diophantine
Diophantine equation
Perfect Square