[seqfan] Re: Two-and-five conjecture
israel at math.ubc.ca
israel at math.ubc.ca
Wed Dec 17 00:43:41 CET 2014
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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