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Sweden Contests
Swedish Mathematical Competition
1976 Swedish Mathematical Competition
6
6
Part of
1976 Swedish Mathematical Competition
Problems
(1)
3^m - 1 = 2^n
Source: 1976 Swedish Mathematical Competition p6
3/26/2021
Show that there are only finitely many integral solutions to
3
m
ā
1
=
2
n
3^m - 1 = 2^n
3
m
ā
1
=
2
n
and find them.
diophantine
Diophantine equation
number theory