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Smaller member of friendly pairs ordered by smallest maximal element.
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%I #23 Oct 10 2015 16:31:25

%S 6,30,80,40,12,84,66,78,102,6,28,114,240,138,120,150,174,135,186,864,

%T 222,246,60,258,282,560,318,84,270,330,84,270,1488,354,366,720,390,

%U 402,426,360,438,880,474,498,510,440,30,140,534,132,1040,570,582,606

%N Smaller member of friendly pairs ordered by smallest maximal element.

%C Conjecture: If a(n) is in A005153, then A050973(n) is in A005153. It is natural to ask if there exists a generalization of the indicator function for A005153, call it m(n), such that m(n) = 1 for n in A005153, 0 < m(n) < 1 otherwise, and m(a(n)) <= m(A050973(n)) for all n. See also A017666. - _Jaycob Coleman_, Sep 27 2014

%H Donovan Johnson, <a href="/A050972/b050972.txt">Table of n, a(n) for n = 1..10000</a>

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

%Y Cf. A050973 (larger member of pair), A074902 (friendly numbers).

%K nonn

%O 1,1

%A _Eric W. Weisstein_