[seqfan] Re: A180248
Klaus Brockhaus
klaus-brockhaus at t-online.de
Sun Aug 22 09:07:41 CEST 2010
The original definition of A180248 can be transformed (also replacing
Sindelar's N, P, S with n, d, r) to
"Odd composite squarefree numbers n such that r = 2*(d-2+n/d)/(d-1) is
an integer for each prime divisor d of n".
Thereby the computation is speeded up considerably; the terms < 3800000
can be obtained in less than a minute.
Perhaps with this definition someone can prove the conjecture
"n is a Carmichael number if and only if n is a term of A180248 and all
r-values of n are even."
KB
Klaus Brockhaus:
> Hans Havermann:
>
>> Am I reading the definition incorrectly? Why isn't 25 (p=5, s=4
>> included?
>>
> W. F. Sindelar's definition is somewhat unclear to me; from the list of
> terms given I concluded that they have to be squarefree. Perhaps this
> follows from the definition, but I can't tell how. Rewording seems
> appropriate.
>
>
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