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Kvant 2021
M2681
M2681
Part of
Kvant 2021
Problems
(1)
Numbers raised to themselves
Source: Kvant Magazine No. 11-12 2021 M2681
3/9/2023
Find all pairs of distinct rational numbers
(
a
,
b
)
(a,b)
(
a
,
b
)
such that
a
a
=
b
b
a^a=b^b
a
a
=
b
b
.Proposed by I. Dorofeev
algebra
number theory
Kvant