MathDB
Problems
Contests
National and Regional Contests
Germany Contests
Germany Team Selection Test
2010 Germany Team Selection Test
3
3^m-7^n=2
3^m-7^n=2
Source: VAIMO 3, German Pre-TST 2010
July 16, 2011
induction
Diophantine equation
number theory unsolved
number theory
Problem Statement
Determine all
(
m
,
n
)
∈
Z
+
×
Z
+
(m,n) \in \mathbb{Z}^+ \times \mathbb{Z}^+
(
m
,
n
)
∈
Z
+
×
Z
+
which satisfy
3
m
−
7
n
=
2.
3^m-7^n=2.
3
m
−
7
n
=
2.
Back to Problems
View on AoPS