Known Amicable Pairs

This is an attempt to collect all known amicable pairs. I would appreciate receiving any kind of updates and corrections. Comments are welcome too. Please visit my pages with various AP lists and statistics; and tables of other kinds of aliquot cycles.

The table below contains the number of amicable pairs arranged according to the number of digits in the smallest member. Click on the number of cycles to see the full list of cycles. Use your browsers back function to get back here. The lists contains all pairs with the smallest member below 10¹⁴.

Update History:

28-Sep-2007

Now 11,994,387 pairs. First examples of APs of irregular types (1,4), (1,5), and (2,6) found by Anatoly Gubanov. First examples of APs of irregular types (9,2) found by Jan Munch Pedersen.

20-Nov-2006

Now 11,446,960 pairs.

05-Jun-2006

Now 11,222,079 pairs. First examples of APs of types (2,6), (3,7), (4,7), (4,8), and irregular type (5,1) found by Anatoly Gubanov.

29-Dec-2005

Now 10,410,218 pairs.

04-Oct-2005

Major update -- now 10,306,909 pairs. New record size pair (24073 digits) from Jobling and Walker.

Thanks to:

Herman te Riele, David Moews, Mariano Garcia, David Einstein, Derek Ball, Frank Zweers, Yasutoshi Kohmoto, Patrick Costello, Stefan Battiato, Anatoly Gubanov, Andrew Walker, Walter Borho, Axel vom Stein, Sergey Chernych, Harvey Dubner, Paul Jobling, Sally Knight, Michel Marcus, Ren Yuanhua.

Parts of the database software is/has been based on the Numbers library created by Ivo Düntsch, and the MIRACL library created by Shamus Software Ltd.

Last update: 28-Sep-2007