Python on Ubuntu 18.04.6 LTS

[Michael Shiloh]

Interesting discussion, but the subject seems quite wrong.

‪On Tue, Jan 4, 2022 at 9:32 AM ‫אורי‬‎ <uri at speedy.net> wrote:‬

> 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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