Date: Mar 22, 2000 10:10 PM
Author: Dan Hoey
Subject: Re: unitary (Egyptian) fractions

milogardner@juno.com (Milo Gardner) wrote:

> Dear David, Joe, and others:

> I can agree that with the first partitions 1/2, 1/3, 1/7 that four

> additional partitions are needed to solve the 732/733 problem....

> That is, I will now go onto the 1/2, 1/4, 1/8 first terms....

There are 1456 solutions starting 1/2 + 1/3 + 1/7,

597 solutions starting 1/2 + 1/3 + 1/8,

129 solutions starting 1/2 + 1/3 + 1/9,

111 solutions starting 1/2 + 1/3 + 1/10,

38 solutions starting 1/2 + 1/3 + 1/11,

21 solutions starting 1/2 + 1/3 + 1/12,

4 solutions starting 1/2 + 1/3 + 1/13,

1 solution starting 1/2 + 1/3 + 1/15,

1 solution starting 1/2 + 1/3 + 1/16,

302 solutions starting 1/2 + 1/4 + 1/5,

21 solutions starting 1/2 + 1/4 + 1/6,

9 solutions starting 1/2 + 1/4 + 1/7,

20 solutions starting 1/2 + 1/4 + 1/8,

1 solution starting 1/2 + 1/4 + 1/9,

1 solution starting 1/2 + 1/4 + 1/10,

38 solutions starting 1/2 + 1/5 + 1/6, and

17 solutions starting 1/2 + 1/5 + 1/8.

for a total of 2767. My previous report of 2771 was due to a clerical

error.

Dan Hoey <haoyuep@aol.com>