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%I #18 Jan 02 2023 12:30:52
%S 294821130240,350100092160,368526412800,457350727680,457350727680,
%T 466800122880,466800122880,466800122880,522686545920
%N Amicable 5-tuples: (x1,...,x5) such that sigma(x1)=...=sigma(x5)=x1+...+x5, x1<x2<x3<x4<x5. Sequence gives sigma numbers.
%C The 5-tuple starting with 53542288800 was given by Donovan Johnson. The common value of sigma(x) is 294821130240.
%C A larger 5-tuple, (55766707476480, 56992185169920, 57515254917120, 57754372515840, 57829096765440), was found by Michel Marcus on Dec 09 2013. The common value of sigma(x) is 285857616844800.
%C A still larger example (227491164588441600, 228507506351308800, 229862628701798400, 230878970464665600, 243752632794316800), probably the first one to be published, had been found by Yasutoshi Kohmoto in 2008, cf. link to SeqFan post.
%C Other terms from John Cerkan.
%C There are different definitions for amicable k-tuples, cf. link to MathWorld.
%H John Cerkan, <a href="/A273936/a273936.txt">More terms, with gaps.</a>
%H Yasutoshi Kohmoto, <a href="http://list.seqfan.eu/oldermail/seqfan/2008-November/000217.html">Sigma(x)=Sigma(y)=Sigma(z)=Sigma(u)=Sigma(v)=x+y+z+u+v</a>, SeqFan list, Nov 23 2008
%H Yasutoshi Kohmoto, <a href="http://list.seqfan.eu/oldermail/seqfan/2013-December/012089.html">Sigma(x)=Sigma(y)=Sigma(z)=Sigma(u)=Sigma(v)=x+y+z+u+v</a>, SeqFan list, Dec 09 2013
%H Eric W. Weisstein, <a href="http://mathworld.wolfram.com/AmicableTriple.html">Amicable Triple</a>. From MathWorld--A Wolfram Web Resource.
%Y Cf. A233553, A273928, A273930, A273931, A273933, A273934 (5-tuples).
%Y Cf. A036471 - A036474 and A116148 (quadruples).
%Y Cf. A125490 - A125492 and A137231 (triples).
%K nonn,more
%O 1,1
%A _John Cerkan_, Jun 04 2016
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