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France Team Selection Test
2000 France Team Selection Test
3
France TST 2000 D2Q3
France TST 2000 D2Q3
Source:
March 2, 2013
number theory
greatest common divisor
number theory unsolved
Zsigmondy
Problem Statement
Find all nonnegative integers
x
,
y
,
z
x,y,z
x
,
y
,
z
such that
(
x
+
1
)
y
+
1
+
1
=
(
x
+
2
)
z
+
1
(x+1)^{y+1} + 1= (x+2)^{z+1}
(
x
+
1
)
y
+
1
+
1
=
(
x
+
2
)
z
+
1
.
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