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A287026 List of pairs of amicable numbers (m, n) with record value of m/n. 3

%I #46 Apr 05 2019 12:22:18

%S 220,284,1184,1210,6232,6368,10744,10856,66928,66992,16137628,

%T 16150628,28118032,28128368,766292835,766512285,1930301618,1930741582,

%U 4000783984,4001351168,44303273584,44307987968,85617896265,85625175735,161899964416,161905117184

%N List of pairs of amicable numbers (m, n) with record value 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 21 pairs with lesser member < 10^18.

%H Amiram Eldar, <a href="/A287026/b287026.txt">Table of n, a(n) for n = 1..44</a>

%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 = 0.7746...

%e 1184/1210 = 0.9785...

%e 6232/6368 = 0.9786...

%e 10744/10856 = 0.9896...

%e 66928/66992 = 0.9990...

%e 16137628/16150628 = 0.9991...

%e 28118032/28128368 = 0.9996...

%e 766292835/766512285 = 0.99971...

%e 1930301618/1930741582 = 0.99977...

%e 4000783984/4001351168 = 0.99985...

%e 44303273584/44307987968 = 0.99989...

%e 85617896265/85625175735 = 0.99991...

%e 161899964416/161905117184 = 0.99996...

%e 456280713808/456281771312 = 0.999997...

%e 52326552030976/52326637800704 = 0.999998...

%e 1132213192149585/1132213862340015 = 0.9999994...

%e 27117998061385216/27118008762013184 = 0.99999960...

%e 226615161368838645/226615243086790155 = 0.99999963...

%e 286707053950093312/286707152546674688 = 0.99999965...

%e 692760387785689984/692760539319737216 = 0.99999978...

%e 794879833279366144/794879862664408064 = 0.99999996...

%e 5462337996254147968/5462338103823900032 = 0.99999998...

%Y Cf. A063990, A287011.

%Y Cf. A259180 (amicable pairs).

%K nonn,tabf

%O 1,1

%A _Amiram Eldar_, Aug 31 2017

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Last modified March 28 12:59 EDT 2024. Contains 371254 sequences. (Running on oeis4.)