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Topic: professors of Cambridge Univ endorse proof of No Odd Perfect to arxiv
Replies: 20   Last Post: Aug 25, 2014 1:52 AM

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 plutonium.archimedes@gmail.com Posts: 18,572 Registered: 3/31/08
more clear summary Re: professors of Cambridge Univ endorse proof of
No Odd Perfect to arxiv

Posted: Aug 12, 2014 3:07 AM

Now in the proof, there needs to be an intersection of the two odd number camps. If I just say the 1/3 camp with 2/3 camp for 3 as perfect odd, I can get away with it because we have only the numbers 1, 2, and 3 to make 3 odd perfect. But for the odd number say 15, I need a 1/3 camp with a 14/15 camp and to get the 1/3 camp I just pull in the number 5 but to get the 14/15 camp, I can pull in an assortment of numbers that add to 14.

So the trick in the proof was for me to triangulate that 14/15 by juxtaposing two different sets of camps. For 15 to be Odd Perfect, I juxtaposed 1/3 camp with 10/15 camp, and then I threw into the fray the 1/15 camp with the 14/15 camp. So in the 1/3 camp is the number 5 and in the 1/15 camp is the number 1, but what makes the proof work, that 15 is impossible to be odd perfect is that we triangulated the remaining factors of the odd number 15 to add up to either 10 or add up to 14. So, what odd numbers can add up to both 10 and 14 simultaneously? An 11 and 3 can add to 14, but not 10. A 3 and 7 can add to 10 but not 14. The only factors that works since we already have a 1, 3, 5 factors of 15 that we need a factor of 6 so that we have 1+3+5+6 = 15, and then for 14 we have 3+5+6= 14.

So that we take every odd number starting with 3 and juxtapose two sets of camps and triangulate what number would fit that triangulation in order for the odd to be perfect. In every case, we have the end result that the number is a even number.

I think I need to alter the proof to this more clear explanation given above, for in my proof, it is not as clear as what I have given tonight.

AP