MathDB
Problems
Contests
National and Regional Contests
PEN Problems
PEN H Problems
63
63
Part of
PEN H Problems
Problems
(1)
H 63
Source:
5/25/2007
Show that
∣
1
2
m
−
5
n
∣
≥
7
\vert 12^m -5^n\vert \ge 7
∣1
2
m
−
5
n
∣
≥
7
for all
m
,
n
∈
N
m, n \in \mathbb{N}
m
,
n
∈
N
.
Diophantine Equations
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