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Amicable numbers (m, n) with record low values of m/n.
2

%I #12 Sep 03 2017 21:52:40

%S 220,284,280540,365084,319550,430402,4532710,6135962,938304290,

%T 1344480478,14840132450,21445545118,35049418250,54192685558,

%U 20568863440125,32021343142659,92371445691525,154378742017851

%N Amicable numbers (m, n) with record low values of m/n.

%C The 2 members in each pair are adjacent to each other in the sequence.

%C The pairs were found using Sergei Chernykh's Amicable pair list. There are no other pairs with lesser member < 10^18.

%H Sergei Chernykh, <a href="http://sech.me/ap/index.html">Amicable pairs list</a>.

%H Shyam Sunder Gupta, <a href="http://www.shyamsundergupta.com/amicable.htm">Amicable Numbers</a>.

%e The ratios m/n are

%e 220/284 = 0.774...

%e 280540/365084 = 0.768...

%e 319550/430402 = 0.742...

%e 4532710/6135962 = 0.738...

%e 938304290/1344480478 = 0.697...

%e 14840132450/21445545118 = 0.691...

%e 35049418250/54192685558 = 0.646...

%e 20568863440125/32021343142659 = 0.642...

%e 92371445691525/154378742017851 = 0.598...

%Y Cf. A063990, A287026.

%K nonn

%O 1,1

%A _Amiram Eldar_, Aug 31 2017