On Tue, Jan 4, 2022 at 10:20 AM אורי <u...@speedy.net> wrote:
> I apologize about the subject. Feel free to change it. The main post was > about almost crashing my computer with the command _py -c > "print(2**64**3)". > אורי > u...@speedy.net > > > On Tue, Jan 4, 2022 at 8:01 AM Michael Shiloh <michaelshiloh1...@gmail.com> > wrote: > >> 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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