Note for the Millennium Prize Problems

EasyChair Preprint 11927, version history

VersionDatePagesVersion notes
1
January 31, 2024
11
2
February 1, 2024
11

We use the 1-in-3 3sat problem

3
February 2, 2024
11

We created a Github repository with the software solution in Python

4
February 3, 2024
11

We show that the Monotone Weighted Xor 2-satisfiability problem ($MWX2SAT$) is $NP$-complete and $P$ at the same time.

5
February 6, 2024
11

We improved the Lemma 3

6
March 10, 2024
11

We changed the abstract and content

7
March 14, 2024
12

We improved the content.

8
March 15, 2024
11

In the previous version, we create two ways to prove that MWX2SAT is in P. In this version, we remove the one that is flawed and we keep the correct and single one.

9
March 28, 2024
13

Added the Discussion section

10
April 8, 2024
13

We replaced in the definition of the K-CLOSURE the content "($u \in V'$ or $v \in V'$) or ($u \notin V'$ or $v \notin V'$)" by "($u \in V'$ and $v \in V'$) or ($u \notin V'$ and $v \notin V'$)"

Keyphrases: Riemann hypothesis, complexity classes, computational complexity, elementary number theory, polynomial time, prime numbers

BibTeX entry
BibTeX does not have the right entry for preprints. This is a hack for producing the correct reference:
@booklet{EasyChair:11927,
  author    = {Frank Vega},
  title     = {Note for the Millennium Prize Problems},
  howpublished = {EasyChair Preprint 11927},
  year      = {EasyChair, 2024}}