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Baltic Way
2023 Baltic Way
19
19
Part of
2023 Baltic Way
Problems
(1)
Sum of digits NT part 2
Source: Baltic Way 2023/19
11/11/2023
Show that
S
(
2
2
2
ā
2023
)
>
2023
S(2^{2^{2 \cdot 2023}})>2023
S
(
2
2
2
ā
2023
)
>
2023
, where
S
(
m
)
S(m)
S
(
m
)
denotes the digit sum of
m
m
m
.
number theory