A273259 - OEIS

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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

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

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

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

EXAMPLE

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.

CROSSREFS

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