Part 3 of the 10^21 search has started

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Hayden Chesnut

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Message 2255 - Posted: 5 Mar 2026, 18:33:03 UTC

So I know the search is ending in about a month due to the goal being reached. But it not like that means it the end for finding amicable numbers there are several subset as part of Wiethaus's rules that haven't been searched at all that can results in finding hundreds of thousands of amicable pairs of type XN,2 and N,2. Like that what I did to find the like 170k pairs I found last year.
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Aurum

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Message 2256 - Posted: 5 Mar 2026, 20:20:16 UTC - in response to Message 2255.  

So I know the search is ending in about a month due to the goal being reached. But it not like that means it the end for finding amicable numbers there are several subset as part of Wiethaus's rules that haven't been searched at all that can results in finding hundreds of thousands of amicable pairs of type XN,2 and N,2. Like that what I did to find the like 170k pairs I found last year.

Says you found 2 pairs.
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Hayden Chesnut

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Message 2257 - Posted: 5 Mar 2026, 22:04:47 UTC - in response to Message 2256.  

With Boinc, without Boinc which is listed on the discovers page I'm listed as having found 176208 pairs. Which I found through by processing the around 6k breeders I generated with the Wiethaus's rule. I think some of these were already checked by other because around like a 1/3 of the pairs they made were already found but most of them weren't so I'm not sure. Overall I'm just trying to get people not to quit looking for amicable numbers just because of the end of this project. And even if you don't want to look for N,2 Pairs because of how the sites treat them I'm pretty certain there's also methods listed online of how to mass find N,1 pairs.
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Sergei Chernykh
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Message 2258 - Posted: 6 Mar 2026, 7:33:52 UTC - in response to Message 2257.  
Last modified: 6 Mar 2026, 7:34:02 UTC

I'm pretty certain there's also methods listed online of how to mass find N,1 pairs.

Yes, there are :) https://sech.me/ap/articles.html
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Profile Tigers_Dave
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Message 2259 - Posted: 6 Mar 2026, 18:57:32 UTC - in response to Message 2256.  

So I know the search is ending in about a month due to the goal being reached. But it not like that means it the end for finding amicable numbers there are several subset as part of Wiethaus's rules that haven't been searched at all that can results in finding hundreds of thousands of amicable pairs of type XN,2 and N,2. Like that what I did to find the like 170k pairs I found last year.

Says you found 2 pairs.


176208 - https://sech.me/ap/discoverers.html
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pututu

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Message 2260 - Posted: 6 Mar 2026, 20:22:51 UTC

With BOINC, I only found 7214 pairs beginning 2017 and none so far in 2026 after processing several thousands of WUs recently. Did anyone find one recently? I remember in 2017, it was relatively easy to find the amicable pairs as there were many then.

In the amicable discoverers webpage, the first 1,000,000,000 pairs was already found on Apr 11 2016 before this search program was included as a BOINC project, so likely to reduce the chances of finding one as time progresses.

Was trying to confirm if any pairs was found this year, I first tried to look at the top contributor, Science United but encounter this error "Fatal error: Allowed memory size of 134217728 bytes exhausted (tried to allocate 4096 bytes) in /home/boincadm/boinc/amicable/html/inc/db_conn.inc on line 69". Seems like there is a 128MB limitation either due to a memory leak or memory limit in the PHP code, at least according to google.

If anyone manage to find a pair this year, you must be super lucky and congratz! BTW, please post your finding before this search ends.
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Message boards : News : Part 3 of the 10^21 search has started


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