
Re: unitary (Egyptian) fractions
Posted:
Mar 22, 2000 10:10 PM


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>

