1. Embryonic Proposition:
For each n belong N, 1=<n<=9 , let S(n) be the subset of the set S={1,2,...,9}. Question: which is the minimum of "n", to make the each number of S(n) calculates the sum "24" surely all be in, just through "+" "-" "*" "/" the four arithmetic without the order of number position. (no method of exhaustion)
Like a classical "Sum 24 of Card Arithmetic Game" .... and apparently the "9" seems suitable number, but not minimum.
Example. For n=9 only 1 subset {1,2,3,4,5,6,7,8,9}, find (9+8+7+6+5-4-3-2)*1=24.
2. Expanding Proposition:
For each n&m belong N, n>=4 , 2=<m=<n , let S(m) be the subset of the set S={2,3,...,n}, and a arbitrary number X be the one of the set S={2,3,...,n}. Question: if m being right to make the each number of S(m) calculates the sum X surely all be in, just through "+" "-" "*" "/" the four arithmetic without the order of number position; then is ANY number M being, m=<M=<n, M belong N, to get the same result ?
3. T-Man Conjecture & T-Man Number:
Assume that the "Expanding Proposition" be established, apparently each natural number X between 2 to n can correspond with a minimum of m, and thinking generally those numbers of m will not be equal --- some will be bigger, and some smaller.
Here I conjecture that those X which maximum of m corresponding to are "Prime Number", and minimum of m corresponding to are "Composite Number". Further more, this kind "Prime Number" is different from usual "Prime Number" --- just filtered by "Multiplication" --- they all be filtered by "Four Arithmetic" within limit and necessity even limitless.
So this kind "Prime Number" can be called "Further Prime Number", same as "Further Composite Number". Those two kinds number also can be named "T-Man Number" according to this "T-Man Conjecture" me found.
(Why "T-Man" named ? see the attached words)
In essential nature "T-Man Conjecture" expanded the definition about "Prime Number" and "Composite Number" of classical mathematical theory. Original "Composite Number" definition: a integer can be factored as two positive integers other than itself or 1 by "Multiplication" (more factors can be seen as two factors). For the particularity of single "Multiplication", there is just one time assembling requested by two factors. So it is "Composite Number". Contrarily zero time assembling make "Prime Number".
Here this Number's Judging Differentiation is like "T-Man Conjecture" me found --- "a minimum of m" shows the most choices assembling, so the corresponding number X is the "Further Composite Number". Contrarily the least choices assembling make the "Further Prime Number". In this kind judgement the more(most) choices make "Composite Number", the less(least) choices make "Prime Number".
Also say the classical mathematical definition is "one-dimensional", and me given here the definition is "two-dimensional". Of course the "three-dimensional" or more dimensions is also being. I think that kind definition mode is similar to this.
4. (Further Conjecture) A good prospect of application:
Seen from another angle for understanding, "Goldbach Conjecture" also can be thought as "T-Man Conjecture" extending --- make 1 time "Addition" into original "Multiplication" of 2 numbers case about "Prime Number" and "Composite Number", with specific limit of that 2 numbers.
The best benefit from "T-Man Conjecture" is calculating not by data of figure, just by number of unit and the type of mathematics operations. Throught two or three even more equality or equation we can narrow the result area greatly using result intersections, then calculating result exactly faster by old mathematical way. I think it is better to used on rocket technology etc real-time processing, and other more fuzzy processing of sociological field.
Follow is the simple operation axiom from "T-Man Conjecture", further research let the professional to do.
if M(x,Sn) exist then M(x,Ss) exist, Ss be the subset of the set Sn={2,3,...,n}.
SPECIAL:
if M(x,2-n) exist then M(x,2-s) exist.
if M(x,2-n) exist then M(x,s-n) exist.
...... ......
Just know the number of unit, but the data of figure --- of course the experience data area better here --- the result area will be sure. I named this as "Macro-Mathematics", different with original "Micro-Mathematics".
A small step here, a big step there.
P.S.
Why "T-Man Conjecture" named ?
Just to disseminate widely of my Special Paranormal Phenomenon with own experience, as a warning to others and to the world.
"T-Man", the character "T" has three meaning: [1] "T" the first character of my last name. [2] "T" the first character of Chinese Spelling Forms of my Chinese code name "Tuo Mingrum". [3] "T" the first character of "Transparent Man".
It seems like "X-Man" --- from a movie <<X-Man>> --- another word for psychic man or magic man .... Few days ago I had watched the <<The X-Files>> of FOX. "X-Files" mean the files about unexplainable phenomenon, I think maybe the "X-Man" called from the "X-Files".
"The Truth Is Out There"
tanweekly
Apr 1, 2007 Guangzhou
T-Man Conjecture
maybe make a new field of math: "Macro-Mathematics"
- calculate not by data of figure, but by number of unit.
The post on my Google Blog ( NOT UPDATED FOR BEING LOST SO LONG TIME )
https://tanweekly.blogspot.com/2007/03/
Following is a picture of Chinese Version T-Man Conjecture, with more Details about Conjecture.
