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2018 Puerto Rico Team Selection Test
1
diophantine a^2 - 3 x 2^b = 1 Puerto Rico OMCC TST 2018.1
diophantine a^2 - 3 x 2^b = 1 Puerto Rico OMCC TST 2018.1
Source:
September 16, 2021
number theory
diophantine
Diophantine equation
Problem Statement
Find all pairs
(
a
,
b
)
(a, b)
(
a
,
b
)
of positive integers that satisfy the equation
a
2
−
3
⋅
2
b
=
1
a^2 -3 \cdot 2^b = 1
a
2
−
3
⋅
2
b
=
1
.
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