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MathLinks Contest 5th
5.1
5.1
Part of
MathLinks Contest 5th
Problems
(1)
0551 number theory 5th edition Round 5 p1
Source:
5/6/2021
Find all real numbers
a
>
1
a > 1
a
>
1
such that there exists an integer
k
≥
1
k \ge 1
k
≥
1
such that the sequence
{
x
n
}
n
≥
1
\{x_n\}_{n\ge 1}
{
x
n
}
n
≥
1
formed with the first
k
k
k
digits of the number
⌊
a
n
⌋
\lfloor a^n\rfloor
⌊
a
n
⌋
is periodical.
number theory
5th edition