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1991 Chile National Olympiad
1
2^x-2^y = 1 , where x,y >=0 integers (Chile NMO 1991 P1)
2^x-2^y = 1 , where x,y >=0 integers (Chile NMO 1991 P1)
Source:
November 20, 2021
diophantine
Diophantine equation
number theory
Problem Statement
Determine all nonnegative integer solutions of the equation
2
x
ā
2
y
=
1
2^x-2^y = 1
2
x
ā
2
y
=
1
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