How are the APs sorted?

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

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Henrik Nilsson

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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.)
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Sergei Chernykh
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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
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Henrik Nilsson

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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?
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Sergei Chernykh
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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.
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Message boards : Number crunching : How are the APs sorted?


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