[seqfan] Re: m-Infinitary Amicable Pair

[Ami Eldar]

I found 59 pairs below 10^6 (including yours):
{220,284}, {240,408}, {1184,1210}, {2620,2924}, {3312,5112}, {3852,5976},
{5020,5564}, {8280,8568}, {9520,13808}, {11502,12690}, {23760,30672},
{32130,40446}, {41360,51952}, {51480,66456}, {56430,64530}, {63020,76084},
{69615,87633}, {73360,97712}, {92180,119500}, {100485,124155},
{122265,139815}, {142310,168730}, {154656,162864}, {169904,174832},
{190944,253584}, {196224,322368}, {196724,202444}, {196992,293568},
{241110,242730}, {241560,280728}, {245040,417216}, {280540,365084},
{282960,315792}, {292992,477888}, {308620,389924}, {319550,430402},
{331008,552000}, {340272,544248}, {385560,485352}, {415264,446576},
{434000,436912}, {439264,594944}, {469028,486178}, {522405,525915},
{542160,600912}, {542430,664146}, {548964,636444}, {591030,618570},
{613080,684216}, {627440,865552}, {663964,723044}, {667964,783556},
{674960,958000}, {677160,774360}, {747504,1147896}, {802725,863835},
{840000,926016}, {894960,1986048}, {933732,1493784},


On Mon, Nov 19, 2018 at 3:27 AM <zbi74583_boat at yahoo.co.jp> wrote:

>     Hi  Seqfans    Once  I generalized InfinitarySigma(n) to
> m-InfinitarySigma(n)  For example  m=3, 4, 5
>     http://oeis.org/A049418
>     http://oeis.org/A074847
>     http://oeis.org/A097863
>     I have computed Perfect Number  for these m-I-Sigma function. But  I
> haven't computed m-Infinitary Amicable Pair. So  I computed some term  of
> {x(n), y(n)}  for m=3    {x(n), y(n)} : 3-Infinitary Amicable Pair
> 3-I-Sigma(x) = 3-I-Sigma(y) = x+y
>     {x(n), y(n)  :  {2^2*5*11, 2^2*71},  {2^3*3^2*13*5*11,
> 2^3*3^2*13*71},  {2^4*3^3*5*11, 2^4*3^3*71},  {2*3^3*7*5*17,2*3^3*7*107},
> {3^2*7*13*5*17, 3^2*7*13*107},  {2*3^3*5*11*19, 2*3^3*5*239},
> {3^2*5*13*11*19, 3^2*5*13*239},  ....
>     Could anyone confirm them and compute more terms?
>
>
>     Yasutoshi
>
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