[seqfan] Re: Two-and-five conjecture

Charles Greathouse charles.greathouse at case.edu
Wed Dec 17 04:22:29 CET 2014


I imagine A000265.

Charles Greathouse
Analyst/Programmer
Case Western Reserve University

On Tue, Dec 16, 2014 at 6:43 PM, <israel at math.ubc.ca> wrote:
>
> What do you mean by the "odd part" here?
>
> Cheers,
> Robert
>
>
> On Dec 16 2014, Vladimir Shevelev wrote:
>
>  Dear Seqfans,
>>
>> For a prime p, denote by s(p,k) the odd part of the digital sum of p^k.
>> Let k_n be the smallest k such that s(p,k) is divisible by prime(n), n>=3.
>> I and Peter Moses conjecture that, for every n>=3, k_n=k_n(p) exists for
>> every p, and, moreover, the equality s(p,k_n) = prime(n) holds for
>> every such n, if and only if p=2 or 5.
>> For connected sequences, see A251964 and A252280-A252283.
>>
>> Best regards,
>> Vladimir
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>>
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>>
>>
>>
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