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4
number theory
number theory
Source: Austrian Mathematical Olympiad 2017 p4
May 2, 2018
number theory
Problem Statement
Find all pairs
(
a
,
b
)
(a,b)
(
a
,
b
)
of non-negative integers such that:
201
7
a
=
b
6
ā
32
b
+
1
2017^a=b^6-32b+1
201
7
a
=
b
6
ā
32
b
+
1
proposed by Walther Janous
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