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.

Digits 0 1 2 3 4 5 6 7 8 9
0-9001482966128350
10-19841191343029877218554611122683418036513611
20-293992409640274359438548825284596265647979
30-399462108341223913004152961737020516244982660928669
40-4936469415364400848724524816231865450691037561981247
50-5999652105491107529118824115849120678122168125429129477138834
60-69134358141131140027150944143818153421190337189090188468172716
70-79165953163410204440185021179306177017172201164876163368153477
80-89154514154793153470223210207297197260190911180412174669171479
90-99169986155605145594139309141079129162120830110832108549106957
100-10910483196901879338417279777192876148193148224137842128678
110-119122126123054115759106374972048929683107778606981064940
120-12959103539564858547168522244933746381433444015537733
130-13936063329493196630122278032633224491228892092720073
140-14919573181931706215831150031404213206130401237512189
150-1591176111245103399490926391798655794573987073
160-1697071753974927457717873306852677963586081
170-1796443630561905651538551344691472143814362
180-1894163399439603718356137523558373535593369
190-1993232307231752876285327012601233323222256
200-2092241214020601964180318221980183316381673
210-219153615051399123311971190123410601043980
220-229921964846883847861799789777710
230-239700717636600604578485508487451
240-249458546513496486420452441477434
250-259382403406387359325303300264288
260-269300259275309269258249244224213
270-279226244200206169179169170149162
280-289151145132147141130109154149162
290-299115133133185161155125123121114
300-309911137285707170586551
310-31936365351644962364155
320-32954312729524127242732
330-33928221922201212112411
340-34912141211171516121217
350-35919302628335841282960
360-36974885551484034213631
370-37935262317203124252121
380-3892220152010131615146
390-3997121217813815815
400-409613182171036332334
410-41931293826313025313835
420-429423161554840667410177
430-43965735943394453423225
440-44925372527232819331922
450-4591620211212281014811
460-4692317161513151018147
470-4798911118118151324
480-4891291516141636212521
490-49944353022415559454238
500-50926222615101214141310
510-519131097137851112
520-52910510811121131111
530-539104896461234
540-54981582655894
550-5597812691116151915
560-56934332630423937241817
570-57912679465135
580-5893365448443
590-59974138514747
600-60926611451014612
610-61975758944510
620-629813131881923301222
630-639213932261619181389
640-6499753944697
650-6592247748745
660-6695643358157
670-67913985578496
680-68943325335126
690-69966169121111132714
700-70916177611111388
710-71951647146118
720-7294263511990
730-7392245518333
740-7492571259724
750-7596838111051069
760-7691316121214141618119
770-77910646738675
780-7892864544721
790-7994743322612
800-8091222441238
810-8198521312021
820-82913355528127
830-83966141914139567
840-8499814522673
850-8593497145321
860-8690211141314
870-8799914114714
880-8893711353433
890-89905606773711
900-90911111012967764
910-9193342543017
920-9292204120421
930-9390531051312
940-9493114420100
950-9591042223114
960-96902182245813
970-9796264564261
980-9891575102001
990-9990001572301
2436 pairs with 1000-24073 digits
total 11994387 pairs

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

Jan Munch Pedersen, amicable@post.cybercity.dk