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KoMaL A Problems 2023/2024
A. 876
Exponential Diaphantine
Exponential Diaphantine
Source: Komal A. 876
April 12, 2024
number theory
Problem Statement
Find all non negative integers
a
a{}
a
and
b
b{}
b
satisfying
5
a
+
6
=
3
1
b
5^a+6=31^b
5
a
+
6
=
3
1
b
Proposed by Erik Füredi, Budapest
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