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Amicable Numbers Logo

Independant: Sergei Chernykh

Amicable Numbers is an independent research project that uses Internet-connected computers to find new amicable pairs.

Current goal of the project is to find all amicable pairs with smallest member < 1020. All new findings are published regularly on the Amicable pairs list page.

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.


Page Icon Amicable Pair List

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Project Statistics

Project Total Credit Project Compute Speed (GFlops)
114284283164 0
Project Avg Daily Credit (7 Day) Project Avg Daily Credit (40 Day)
111105000 135916000
W.A.S (Work Availability Score) Z.C.D (Zero Credit Days)
0.82 1
Last Stats Update

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Project News Feed

Power outage

Thu, 24 May 2018 12:41:34 GMT

The server was down today between 11:04 and 14:20 (CEST) because of a major power outage in Hetzner datacenter. Everything should be up and running again now.

GPU version fix

Tue, 27 Mar 2018 17:45:25 GMT

There was a serious bug in GPU version:
Unfortunately, it skipped some numbers in an unpredictable way for "large primes" work units for the last 20 days 9 days. I'll have to reissue all such work units to cover everything missed. The GPU versions for all platforms are already updated.

Sorry for the mess, but it's good that the bug is fixed relatively early, because it was hard to notice.

MacOS GPU version released

Sat, 16 Sep 2017 08:24:36 GMT

GPU requirements are the same as for Windows and Linux versions: AMD (HD 5xxx or newer) or NVIDIA (GTX 4xx or newer) GPU with OpenCL support and at least 2 GB of video memory.

The MacOS GPU version has been confirmed to work on OS X El Capitan and MacOS Sierra. Older MacOS versions have poor OpenCL support and may fail to run the GPU version.