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JBMO TST - Turkey
2014 JBMO TST - Turkey
2
(a^3+b)(b^3+a)=2^c
(a^3+b)(b^3+a)=2^c
Source: Turkey JBMO TST 2014 P6
June 21, 2014
modular arithmetic
number theory proposed
number theory
Problem Statement
Find all triples of positive integers
(
a
,
b
,
c
)
(a, b, c)
(
a
,
b
,
c
)
satisfying
(
a
3
+
b
)
(
b
3
+
a
)
=
2
c
(a^3+b)(b^3+a)=2^c
(
a
3
+
b
)
(
b
3
+
a
)
=
2
c
.
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