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Dutch Mathematical Olympiad
2008 Dutch Mathematical Olympiad
2
scent of a classic, diophantine 3 \cdot 2^n + 1 = m^2.
scent of a classic, diophantine 3 \cdot 2^n + 1 = m^2.
Source: Dutch MO 2008 p2
September 1, 2019
number theory
Diophantine equation
diophantine
Problem Statement
Find all positive integers
(
m
,
n
)
(m, n)
(
m
,
n
)
such that
3
ā
2
n
+
1
=
m
2
3 \cdot 2^n + 1 = m^2
3
ā
2
n
+
1
=
m
2
.
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