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KoMaL A Problems
KoMaL A Problems 2022/2023
A. 841
A. 841
Part of
KoMaL A Problems 2022/2023
Problems
(1)
Hard diophantine eq with n^{p-1}
Source: KoMaL A. 841
1/11/2023
Find all non-negative integer solutions of the equation
2
a
+
p
b
=
n
p
−
1
2^a+p^b=n^{p-1}
2
a
+
p
b
=
n
p
−
1
, where
p
p
p
is a prime number.Proposed by Máté Weisz, Cambridge
number theory
Diophantine equation
komal