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JOM 2015 Shortlist
N4
N4
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JOM 2015 Shortlist
Problems
(1)
Diophantine Equation
Source: Junior Olympiad of Malaysia Shortlist 2015 N4
7/17/2015
Determine all triplet of non-negative integers
(
x
,
y
,
z
)
(x,y,z)
(
x
,
y
,
z
)
satisfy
2
x
3
y
+
1
=
7
z
2^x3^y+1=7^z
2
x
3
y
+
1
=
7
z
number theory
Diophantine equation