[seqfan] Re: Fwd: 34155

[Jens Voß]

Hello,

out of curiosity I wrote a Java program yesterday and let it run 
overnight. It took it a little less than six hours to scan the range 
between 1 and 10^9, and found no other exceptions to the two 
construction rules I put down earlier; in particular, no odd number 
except 34155 with the required property.

I also found out that the topic is not quite new: There was a discussion 
nine years ago about the issue in 
http://mathforum.org/kb/message.jspa?messageID=1785682.

Best regards,
Jens

Am 17.04.2012 08:57, schrieb Juan Arias de Reyna:
> I send a message were Jan van de Lune informs that 34155 is the only odd number n
> less than or equal 616 000 001 such that
>
> sum_{sqrt(n)<= d<  n,  d|n} d = n.
>
>
>
> Begin forwarded message:
>
>> From: "J. van de Lune"<j.lune at chello.nl>
>> Date: 16 de abril de 2012 23:31:07 GMT+02:00
>> To: "Juan Arias de Reyna"<arias at us.es>
>> Subject: 34155
>>
>> Dear Juan,
>>
>> Today I covered the range  [ 80 000 001 , 616 000 001 ]  in about  12  hours.
>> I found no new " peculiar "  n.
>> I will try to reach ( tomorrow )  n = 1 000 000 001.
>>
>> Good luck and best regards,
>>
>> Jan
>
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