Number Theory 3 Solutions of 3 Open Problems

NextCard Internet Visa

Site owner: Li Ke Xiong
Link to Primary Proof paper
Current discussing topic: A New Interesting Way In Mathematics the supplement of The development of the concept of congruence Site owner's paper manuscript in details What's New---A Letter To Mr. Clifford J Earle Please leave your comments

The Extreme Solution to Catalan's Conjecture

Catalan Conjecture Solution

ABC Solution II      I

 3X+1 Solution

A New Interesting Way in Mathematics ---"Relative congruence"

From the basic facts:

1. integer a,b,s. prime the solution always exists and unique (except ). We can use the fractions to express congruence value, directly ,
that is to say the fractions have congruence meaning.

2. So we can make the definition:
(2) Never can p be denomination divisor in any finite expression, otherwise meaningless.

3. Thus the basic operation can be used on the both sides of without any doubt, it is easy to be proved.

4. Furthermore, we extend the above concept to real number, based on and controlled by power expansion series, that is to say we have discovered the concept of Relative Congruence.

5. Thus we get the necessary condition mod p
for , then we proved mod p never can be satisfied with the same p. .

6. And we have discussed Euler constant c, the conclusion is that c is not rational.   BACK

Index Of Paper Manuscript In Details        Back To Top

Manuscript page No.1
Manuscript page No.2BACK
Manuscript page No.3BACK
Manuscript page No.4
Manuscript page No.5
Manuscript page No.6BACK
Manuscript page No.7
Manuscript page No.8
Manuscript page No.9
Manuscript page No.10BACK
Manuscript page No.11BACK
Manuscript page No.12BACK
Manuscript page No.13
Manuscript page No.14BACK
Manuscript page No.15
Manuscript page No.16
Manuscript page No.17
Manuscript page No.18
Manuscript page No.19BACK
Manuscript page No.20
Manuscript page No.21
Manuscript page No.22
Manuscript page No.23BACK
Manuscript page No.24
Manuscript page No.25                                        BACK

NextCard Internet Visa

Site Owner: Li Ke Xiong       Site Update Time: 06 /02/11

email logo gif     ALL RIGHTS RESERVED