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A273259 Twin amicable numbers (m,n) where there is not any part of another amicable pair between m and n. 1


%S 220,284,1184,1210,2620,2924,5020,5564,6232,6368,10744,10856,12285,

%T 14595,17296,18416,66928,66992,122368,123152,196724,202444,437456,

%U 455344,469028,486178,503056,514736,522405,525915,643336,652664,802725,863835,998104,1043096,1077890,1099390

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

%C 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.

%C First differs from A259933 at a(19). - _Omar E. Pol_, May 19 2016

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

%H Zoltan Galantai, <a href="/A273259/b273259.txt">Table of n, a(n) for n = 1..150</a>

%H Bela Galantai, <a href="http://mono.eik.bme.hu/%7Egalantai/number-theory/twin-amicable-nubers.prg">Software source code written in Clipper</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/AmicablePair.html">Amicable Pair</a>

%e The (63020, 76084) amicable pair does not qualify since it overlaps with the (66928, 66992) pair.

%e On the other hand, 66928 and 66992 are contiguous, thus the (66928, 66992) amicable pair belongs to the sequence.

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

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

%K nonn

%O 1,1

%A _Zoltan Galantai_, May 18 2016

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Last modified June 19 03:34 EDT 2018. Contains 305572 sequences. (Running on oeis4.)