A273259 Twin amicable numbers (m,n) where there is not any part of another amicable pair between m and n.

220, 284, 1184, 1210, 2620, 2924, 5020, 5564, 6232, 6368, 10744, 10856, 12285, 14595, 17296, 18416, 66928, 66992, 122368, 123152, 196724, 202444, 437456, 455344, 469028, 486178, 503056, 514736, 522405, 525915, 643336, 652664, 802725, 863835, 998104, 1043096, 1077890, 1099390

Offset: 1

Author

Zoltan Galantai, May 18 2016

Keywords

• nonn

Comments

The sequence lists the twin amicable number pairs in increasing order. So opposite to the list of the amicable numbers, the pairs (m, n) are necessarily adjacent to each other in this list.

First differs from A259933 at a(19). - Omar E. Pol, May 19 2016

Examples

			The (63020, 76084) amicable pair does not qualify since it overlaps with the (66928, 66992) pair.
On the other hand, 66928 and 66992 are contiguous, thus the (66928, 66992) amicable pair belongs to the sequence.
		

References

• Song Y. Yan, Perfect, Amicable and Sociable Numbers, World Scientific Pub Co Inc, 1996, pp. 113-121.

Links

• Zoltan Galantai, Table of n, a(n) for n = 1..150
• Bela Galantai, Software source code written in Clipper
• Eric Weisstein's World of Mathematics, Amicable Pair

Crossrefs

Cf. A002025 (smaller), A002046 (and larger of an amicable pair).

Cf. A063990 (amicable numbers), A259180 (amicable pairs), A259933.