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National and Regional Contests
Vietnam Contests
Vietnam Team Selection Test
2019 Vietnam TST
P4
P4
Part of
2019 Vietnam TST
Problems
(1)
Diophantine Equation
Source: Vietnam TST 2019 Day 2 P4
3/11/2020
Find all triplets of positive integers
(
x
,
y
,
z
)
(x, y, z)
(
x
,
y
,
z
)
such that
2
x
+
1
=
7
y
+
2
z
2^x+1=7^y+2^z
2
x
+
1
=
7
y
+
2
z
.
number theory
Diophantine equation