Amicable Numbers is an independent research project that uses Internet-connected computers to find new amicable pairs. You can contribute to our research by running a free program on your computer.

Current goal of the project is to find all amicable pairs with smallest member < 2^{64}.

All new findings are published regularly on the Amicable pairs list page.

Why participate in it?

Though mathematics is not an experimental science, mathematicians often look for examples to test conjectures (which they then hope to prove). As the number of examples increases, so does (in a sense) their understanding of the distribution.

The goal is to collect**all** amicable numbers up to a **very** large limit. This data will facilitate theoretical research in the field: 1, 2, 3 to name a few examples. It will also help to improve understanding of the properties of Divisor function.

Join Amicable Numbers

The goal is to collect

Credit badges for 100, 200 and 500 thousand total credit

There are new entry level badges on the project: white hollow stars for 100, 200, 500 thousand total credit.

14 Apr 2017, 13:07:16 UTC
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Credit badges

I've added credit badges. The first badge is given for 1,000,000 total credit, the last badge is given for 1,000,000,000 total credit. I chose 1 million as an entry level because there are already 258 users above that value and their contribution is 97.2% of project's total credit. So if you've been active on the project, you should already have one of these badges.

Bronze stars: 1, 2, 5 million total credit

Silver stars: 10, 20, 50 million total credit

Gold stars: 100, 200, 500 million total credit

Big gold star: 1 billion total credit

8 Apr 2017, 10:59:54 UTC
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MacOS X 64-bit application released

It's in beta test now. Discussion is here: https://sech.me/boinc/Amicable/forum_thread.php?id=58

2 Apr 2017, 15:32:20 UTC
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Credit per WU is doubled temporarily

It appears that current work units are 2 times slower on average, so I've set credit per WU to 3236.07 temporarily (2 times more than usual). This is until the project reaches 50%, when a whole new type of WU will start, so I'll revise credit per WU once again then.

28 Mar 2017, 5:14:01 UTC
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GPU version 1.12 bug

This version had a bug, so I had to cancel all work which was in progress for this version and then reissue all work units which were processed with this version only, i.e. all work units that have two results with GPU version 1.12 in "completed and validated" state. 16433 work units have been reissued, it's approximately 1 day of calculations.

The project is back to using version 1.11 for now. I'll release a proper fixed version later today.

22 Mar 2017, 10:53:19 UTC
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©2017 Sergei Chernykh