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Letter of Challenge to Americans by Li Mingbo
Dear President of America,
I am an architectural engineer and mathematician from Anshan, Liaoning Province of China. In Jul. 1997, I was so honored to get a prize because of my essay Number Theory Conjecture with Image Thinking and Inspiration Thinking. The prize is given by the Mathematical Society of Liaoning Province. It has been ten years since these questions were posted on the Internet. My friend Yu Bin and I would offer a reward if someone could give an answer to the conjecture since 2014. But there has been no one who could answer it so far. Now I would like to challenge USA, in order to promote the development of science in China and cultural communication between USA and China.
The even number 4,6,12,18,30... in the middle of the twin prime numbers (3,5)(5,7)(11,13)(17,19)(29,31)... is defined as “P”. Here are the two conjectures.
Conjecture I by Li Mingbo:
A: Each P which is no less than 12 could be the sum of two P. ( reward:200,000 RMB)
B: Each P which is no less than 6 could be the difference of two P.( reward:200,000 RMB)
Conjecture II by Li Mingbo:
The indeterminate equation x^x +y^y=z^z no positive algebraic number solution. ( reward:200,000 RMB)
As time passes by, we could give more money as rewards if there is still no one answering these.
Li Mingbo
December, 2015
(translated by Shen Yuting) |
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