Known Exponential Amicable Pairs

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

The table below contains the number of exponential 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 4×10¹¹.

Digits	0	1	2	3	4	5	6	7	8	9

0-9		0	0	0	0	1	1	1	2	3

10-19	0	4	3	4	13	15	14	22	39	56

20-29	74	97	151	226	288	367	530	680	815	907

30-39	1057	1228	1380	1669	1983	2284	2625	2904	3239	3603

40-49	4039	4460	4511	4511	4212	4010	3444	2199	1823	1671

50-59	1433	1343	1226	1028	932	913	832	849	820	673

60-69	729	703	740	852	947	960	1032	1076	1224	1127

70-79	1147	1002	1041	1125	1208	1276	1411	1506	1329	1329

80-89	1202	1302	1271	1345	1321	1406	1427	1441	1476	1386

90-99	1442	1477	1552	1574	1507	1471	1639	1815	1779	1590

100-109	1809	1717	1727	1669	1572	1567	1680	1473	1431	1482

110-119	1455	1452	1621	1600	1846	1707	1719	1774	1639	1569

120-129	1538	1410	1421	1530	1597	1486	1362	1301	1545	1504

130-139	1578	1852	1687	1784	1641	1729	2181	1898	1909	2052

140-149	2203	2346	2369	2386	4351	3236	2984	3102	2985	2899

150-159	3140	2955	2990	2946	3840	3313	4160	3905	3672	3526

160-169	3763	3732	3862	4515	4427	4436	4492	4217	6251	5453

170-179	4974	4739	4722	4391	4119	4180	7155	6262	7780	6488

180-189	5997	5667	5559	6626	6954	6638	6206	6190	5624	9447

190-199	12566	13725	16392	13111	13043	13471	11979	11563	12314	13507

200-209	11958	12732	12676	11694	10860	10313	10086	9682	9016	8394

210-219	8352	7757	7340	7347	7738	7051	6589	6657	6786	7678

220-229	7244	6491	6661	6094	5666	5446	7173	6372	6048	5944

230-239	5775	5641	5199	5056	4921	4652	4383	4720	4461	4675

240-249	4186	4993	4829	4403	4192	4084	3807	4642	4180	3787

250-259	3555	3422	3426	3165	3001	2803	2885	2752	2505	3066

260-269	3414	2755	2955	2909	2760	2555	2406	2272	2234	2152

270-279	1995	2092	2019	2076	2346	2103	1960	1891	1821	2289

280-289	2010	1909	1872	1759	1838	1916	1815	1726	1734	1630

290-299	1586	1501	1517	1605	1441	1377	1426	1264	1326	1218

300-309	1261	1252	1179	1154	1089	1233	1381	1755	2027	1930

310-319	1853	53292	37636	31314	28833	63181	68337	57277	53306	51603

320-329	49620	49172	47654	46803	45652	44579	43573	41964	41362	40426

330-339	39525	37745	37273	35935	35203	33570	32873	31560	30954	29634

340-349	29032	27537	26561	26243	24839	23937	22925	21840	20935	20331

350-359	19530	18488	17804	17134	16229	15138	14716	14030	13337	12641

360-369	12089	11483	10957	10156	9829	9210	8767	8172	7937	7302

370-379	6895	6646	6085	5647	5275	5080	4644	4282	4093	3818

380-389	3504	3345	2994	2919	2644	2422	2253	2137	1970	1823

390-399	1643	1616	1831	1472	1339	1316	1181	1213	1106	1131

400-409	1704	1341	1218	1136	1333	1226	1213	1244	1281	1502

410-419	2307	2018	2076	1873	1906	1795	1885	1828	1876	1867

420-429	1995	2568	2245	2278	2186	2062	2142	2133	2049	2125

430-439	2032	2099	1943	1901	1930	1930	1808	1790	1814	1668

440-449	1691	1652	1658	1573	1583	1564	1520	1440	1542	1423

450-459	1470	1410	1417	1379	1351	1356	1338	1324	1510	1543

460-469	1374	1306	1395	1572	1421	1449	1375	1591	1511	1503

470-479	1456	1556	1881	1917	1721	1976	1835	1782	1972	1832

480-489	1884	1893	1888	1801	2008	1893	1820	1910	1895	1746

490-499	1796	1786	1745	1691	1697	1575	1682	1576	1535	1456

500-509	1469	1421	1437	1378	1307	1316	1544	1394	1307	1230

510-519	1188	1217	1228	1158	1168	1123	1122	1207	1143	1052

520-529	1072	1048	952	992	948	885	947	855	845	830

530-539	790	737	731	711	674	682	641	618	613	650

540-549	618	627	548	537	522	527	557	507	494	481

550-559	479	447	443	366	425	431	402	395	351	379

560-569	330	328	336	334	298	326	314	298	291	281

570-579	304	246	293	250	284	246	246	271	221	222

580-589	222	203	209	213	202	202	184	185	194	198

590-599	178	188	172	164	188	157	146	174	172	160

600-609	174	152	146	164	132	143	150	141	130	132

610-619	132	137	124	189	166	152	146	154	247	187

620-629	175	191	171	177	148	190	167	157	184	145

630-639	155	137	147	152	165	143	141	139	138	142

640-649	140	154	149	117	138	144	140	132	113	114

650-659	109	113	109	88	99	102	86	109	112	88

660-669	90	96	86	96	80	102	82	86	83	75

670-679	80	98	75	61	72	88	76	72	81	63

680-689	60	57	69	55	45	49	59	69	41	50

690-699	56	42	56	40	52	51	62	56	79	76

700-709	76	54	61	38	54	46	62	56	67	52

710-719	44	52	67	60	66	52	54	58	49	50

720-729	69	76	61	45	51	57	56	51	53	53

730-739	43	54	41	55	52	56	57	51	53	48

740-749	49	42	47	44	38	38	41	44	46	36

2250 pairs with 750-957 digits
total 3089296 pairs

<!-- end inserted table>

Update History:

28-Sep-2007: Now 3,089,296 pairs.
20-Nov-2006: Now 3,025,530 pairs.
29-dec-2005: 18685 new pairs, mostly from Derek Ball. New record size exponential amicable pair with 957 digits in each member found by Derek Ball.
04-Oct-2005: Major update -- now 1,820,071 pairs.

Thanks to:

David Moews, Yasutoshi Kohmoto, Derek Ball

Last update: 28-Sep-2007

Jan Munch Pedersen, amicable@post.cybercity.dk