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

220, 284, 1184, 1210, 6232, 6368, 10744, 10856, 66928, 66992, 16137628, 16150628, 28118032, 28128368, 766292835, 766512285, 1930301618, 1930741582, 4000783984, 4001351168, 44303273584, 44307987968, 85617896265, 85625175735, 161899964416, 161905117184

Offset

1,1

Comments

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

The pairs were found using Sergei Chernykh's Amicable pair list. There are 21 pairs with lesser member < 10^18.

Links

Amiram Eldar, Table of n, a(n) for n = 1..44

Sergei Chernykh, Amicable pairs list.

Shyam Sunder Gupta, Amicable Numbers.

Example

The ratios m/n are
                   220/284                 = 0.7746...
                  1184/1210                = 0.9785...
                  6232/6368                = 0.9786...
                 10744/10856               = 0.9896...
                 66928/66992               = 0.9990...
              16137628/16150628            = 0.9991...
              28118032/28128368            = 0.9996...
             766292835/766512285           = 0.99971...
            1930301618/1930741582          = 0.99977...
            4000783984/4001351168          = 0.99985...
           44303273584/44307987968         = 0.99989...
           85617896265/85625175735         = 0.99991...
          161899964416/161905117184        = 0.99996...
          456280713808/456281771312        = 0.999997...
        52326552030976/52326637800704      = 0.999998...
      1132213192149585/1132213862340015    = 0.9999994...
     27117998061385216/27118008762013184   = 0.99999960...
    226615161368838645/226615243086790155  = 0.99999963...
    286707053950093312/286707152546674688  = 0.99999965...
    692760387785689984/692760539319737216  = 0.99999978...
    794879833279366144/794879862664408064  = 0.99999996...
   5462337996254147968/5462338103823900032 = 0.99999998...

Crossrefs

Cf. A063990, A287011.

Cf. A259180 (amicable pairs).

Sequence in context: A273259 A262624 A262622 * A233538 A328063 A328065

Adjacent sequences: A287023 A287024 A287025 * A287027 A287028 A287029

Keyword

nonn,tabf

Author

Amiram Eldar, Aug 31 2017

Status

approved