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Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: Reciprocals of integers summing to 1
Replies: 21   Last Post: Nov 23, 2012 8:44 PM

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Bill Taylor

Posts: 185
Registered: 11/17/10
Re: Reciprocals of integers summing to 1
Posted: Nov 22, 2012 6:15 AM
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On Nov 20, 5:16 am, Ludovicus <luir...@yahoo.com> wrote:

> The six first decompositions with different least denominators Xi are:
>
>    n           Xi
>    3       2,3,6
>    4       2,4,5,20
>    5       2,4,5,30,60
>    6,      2,3,18,115,414
>    7,      2,4,616,51,944,6018
>    8,      2,4,6,17,44,658,3828,648788
>
> Can someone continue this table ?

This list seems to be badly wrong.

> 4 2,4,5,20

There is also, as David Petry noted:

2 3 9 18
2 3 10 15
2 4 6 12

> 5 2,4,5,30,60

2 3 6 12 20
2 4 5 36 45
3 4 5 6 20 and many more.

One thus has little faith in the rest of the list.

-- Baffled Bill

** There is no moral right to not be offended.
** There is no moral right to not be offended.
** There is no moral right to not be offended.

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