Interesting discussion, but the subject seems quite wrong. On Tue, Jan 4, 2022 at 9:32 AM אורי <u...@speedy.net> wrote:
> From checking also powers of 3, I can't find more than c==5 (for 3**20 and > 3**124). > > אורי > u...@speedy.net > > > On Tue, Jan 4, 2022 at 7:24 AM אורי <u...@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 >> u...@speedy.net >> >> >> On Tue, Jan 4, 2022 at 6:53 AM Daniel Shahaf <d...@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. >>> >> _______________________________________________ > Linux-il mailing list > Linux-il@cs.huji.ac.il > http://mailman.cs.huji.ac.il/mailman/listinfo/linux-il >
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