[seqfan] Re: Is it possible to find a 5-imperfect number for A127724

Peter Munn techsubs at pearceneptune.co.uk
Fri Jan 26 12:36:14 CET 2018


Please note, for "4.5" below, I intended "4.75".

On Fri, January 26, 2018 2:35 am, Peter Munn wrote:
> Hi Michel and seqfans,
>
> I have plotted (against x/rho(x)) the log(log(x)) of your least known
> values of x that give specific low-denominator (x/rho(x)). The latest two
> finds that you report appear on my graph to re-inforce a trend; and I note
> that discovery of a 130- to 180-digit 5-imperfect number would extend this
> apparent trend particularly neatly.
>
> The least x with x/rho(x) = 4.5 is a markedly low outlier, so a simple
> trend is clearly an over-simplification, but I find the trend nevertheless
> tantalising. Plotting values between 3 and 4 would add to the interest, I
> suspect, as would including the second least values.
>
> Best Regards, Peter
>
> On Sat, January 20, 2018 6:31 am, michel.marcus at free.fr wrote:
>>
>> Dear All,
>>
>> I managed to find 2 instances above 19/4 with denominator < 10.
>>
>>
>>
>> 43/9
>> 1678712142264442619841695604964279840811107376678203757456956025821219413179225584819784122368000000000000
>> 29/6
>> 1132154700596949673846724942882886404267956137759718813168644761600357278655756789762179989504000000000000
>>
>>
>> Michel
>>
>> --
>> Seqfan Mailing list - http://list.seqfan.eu/
>>
>
>
>
> --
> Seqfan Mailing list - http://list.seqfan.eu/
>




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