Python on Ubuntu 18.04.6 LTS

[אורי]

>From checking also powers of 3, I can't find more than c==5 (for 3**20 and
3**124).

אורי
uri at speedy.net


‪On Tue, Jan 4, 2022 at 7:24 AM ‫אורי‬‎ <uri at speedy.net> wrote:‬

> Thank you, that's interesting. So all such numbers are divisible by 9. I
> didn't think about it.
>
> You might be interested in my related question:
>
> https://math.stackexchange.com/questions/4348279/what-is-the-highest-number-of-digits-so-that-this-number-of-digits-in-a-specific
>
> From checking about the first 50,000 powers of 2, I didn't find c more
> than 5, who actually appears only twice (c is the number of digits who
> appear exactly 10% of the time in the decimal form of a specific power of
> 2).
>
> אורי
> uri at speedy.net
>
>
> On Tue, Jan 4, 2022 at 6:53 AM Daniel Shahaf <d.s at daniel.shahaf.name>
> wrote:
>
>> אורי wrote on Tue, 04 Jan 2022 04:07 +00:00:
>> > Are there powers of 2 which give exactly 10% of each of the digits 0 to
>> 9 (in
>> > decimal form)?
>>
>> No, because then the sum of the digits would be a multiple of nine, so the
>> number wouldn't be a power of two.
>>
>
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