How are the APs sorted?

Message boards : Number crunching : How are the APs sorted?

To post messages, you must log in.

AuthorMessage
Henrik Nilsson

Send message
Joined: 27 Apr 17
Posts: 9
Credit: 16,243,969
RAC: 0
   
Message 618 - Posted: 11 Sep 2017, 10:51:10 UTC

Out of curiosity:
How are the APs in the list of APs I have found sorted? Not date, that much I can tell.

And what does the second number (65) mean here:

2 65 "BOINC: ...

?

(Not the most pressing questions around, I agree.)
ID: 618 · Rating: 0 · rate: Rate + / Rate - Report as offensive    Reply Quote
Sergei Chernykh
Project administrator
Project developer

Send message
Joined: 5 Jan 17
Posts: 455
Credit: 72,451,573
RAC: 0
   
Message 619 - Posted: 11 Sep 2017, 10:58:21 UTC - in response to Message 618.  

They're sorted by the smaller member in a pair. The number "65" is type of amicable pair. In short, first digit is how many prime factors are there in the smaller member that don't divide the larger member, second digit is how many prime factors are there in the larger member that don't divide the smaller member. You can find strict definition here: http://mathworld.wolfram.com/AmicablePair.html
ID: 619 · Rating: 0 · rate: Rate + / Rate - Report as offensive    Reply Quote
Henrik Nilsson

Send message
Joined: 27 Apr 17
Posts: 9
Credit: 16,243,969
RAC: 0
   
Message 620 - Posted: 11 Sep 2017, 12:11:37 UTC - in response to Message 619.  

Thanks for the link - interesting reading!

Has the present search recovered any unusual/remarkable/record-breaking APs yet?
ID: 620 · Rating: 0 · rate: Rate + / Rate - Report as offensive    Reply Quote
Sergei Chernykh
Project administrator
Project developer

Send message
Joined: 5 Jan 17
Posts: 455
Credit: 72,451,573
RAC: 0
   
Message 621 - Posted: 11 Sep 2017, 15:42:30 UTC - in response to Message 620.  

The project discovered a first example of type (10,4) amicable pair:
10,4 "BOINC: Cautilus, Hooker63" 2017
60839375973463962290=2*5*13*17*41*59*73*83*109*127*241*563
75707483892585778510=2*5*503*77549*261071*743423

Finding new types of amicable pairs is a rare event.

It was also close to beat the lowest m/n ratio for known amicable pairs, but didn't break the record yet.
ID: 621 · Rating: 0 · rate: Rate + / Rate - Report as offensive    Reply Quote

Message boards : Number crunching : How are the APs sorted?


©2021 Sergei Chernykh