[13] **viXra:1903.0353 [pdf]**
*submitted on 2019-03-19 14:19:09*

**Authors:** Sally Myers Moite

**Comments:** 9 Pages.

Numbers of form 6N – 1 and 6N + 1 factor into numbers of the same form. This observation provides elimination sieves for numbers N that lead to primes and prime pairs. The sieves do not explicitly reference primes.

**Category:** Number Theory

[12] **viXra:1903.0333 [pdf]**
*submitted on 2019-03-18 18:07:39*

**Authors:** Toshiro Takami

**Comments:** 180 Pages.

I also found a zero point which seems to deviate from 0.5.
I thought that the zero point outside 0.5 can not be found very easily in the area
which can not be shown in the figure, but this area can not be represented in the
figure but can be found one after another.
It is completely unknown whether this axis is distorted in the 0.5 axis or just by
coincidence.
The number of zero points in the area that can not be shown in the figure is now 43.
No matter how you looked it was not found in other areas.
It seemed that there is no other way to interpret this axis as 0.5 axis is distorted in
this area.
Somewhere on the net there is a memory that reads the mathematician's view that
"there are countless zero points in the vicinity of 0.5 on high area".
We are reporting that the zero point search of the high-value area of the imaginary
part which was giving up as it is no longer possible with the supercomputer is no
longer possible, is reported.
43 zero-point searches in the high-value area of the imaginary part are thus
successful.
This means that the zero point search in the high-value area of the imaginary part
has succeeded in the 43.
We will also write 43 zero point searches of the successful high-value area of the
imaginary part.
There are many counterexamples far beyond 0.5, which is far beyond the limit, but
the computer can not calculate it.
Moreover, I believe that it can only be confirmed on supercomputer whether this is
really counterexample. In addition, it is necessary to make corrections in the
supercomputer.

**Category:** Number Theory

[11] **viXra:1903.0296 [pdf]**
*submitted on 2019-03-15 19:04:45*

**Authors:** Masashi Furuta

**Comments:** 21 Pages.

We define the "Div sequence" that sets up the number of times divided by 2 in the Collatz operation.
Using this and the "infinite descent", we prove the Collatz conjecture.

**Category:** Number Theory

[10] **viXra:1903.0295 [pdf]**
*submitted on 2019-03-15 22:14:20*

**Authors:** Aaron Chau

**Comments:** 2 Pages.

也因为多与少，即填得满与填不满的视觉凭证是零点空格，所以，零点空格证明黎猜不成立。

**Category:** Number Theory

[9] **viXra:1903.0209 [pdf]**
*submitted on 2019-03-11 18:46:22*

**Authors:** Bambore Dawit Geinamo

**Comments:** 2 Pages. For more improvement comments and corrections are expected

This paper magically shows very interesting and simple proof of Fermata Last Theorem. The proof describes sufficient conditions of that the equation holds and contradictions on them to satisfy the theorem. If Fermat had proof most probably his proof may be similar with this one.

**Category:** Number Theory

[8] **viXra:1903.0200 [pdf]**
*replaced on 2019-03-13 09:22:44*

**Authors:** Maik Becker-Sievert

**Comments:** 1 Page.

Two cubes are a sum of nine cubes

**Category:** Number Theory

[7] **viXra:1903.0167 [pdf]**
*submitted on 2019-03-09 10:51:21*

**Authors:** Zeolla Gabriel Martín

**Comments:** 11 Pages. Idioma Español

Este documento desarrolla y demuestra el descubrimiento de un nuevo algoritmo de multiplicación que funciona absolutamente con todos los números.

**Category:** Number Theory

[6] **viXra:1903.0157 [pdf]**
*replaced on 2019-03-11 16:26:03*

**Authors:** Toshiro Takami

**Comments:** 10 Pages.

I also found a zero point which seems to deviate from 0.5.
I thought that the zero point outside 0.5 can not be found very easily in the area which can not be shown in the figure, but this area can not be represented in the figure but can be found one after another.
It is completely unknown whether this axis is distorted in the 0.5 axis or just by coincidence.
The number of zero points in the area that can not be shown in the figure is now 43.
No matter how you looked it was not found in other areas.
It seemed that there is no other way to interpret this axis as 0.5 axis is distorted in this area.
Somewhere on the net there is a memory that reads the mathematician's view that "there are countless zero points in the vicinity of 0.5 on high area".
We are reporting that the zero point search of the high-value area of the imaginary part which was giving up as it is no longer possible with the supercomputer is no longer possible, is reported.
43 zero-point searches in the high-value area of the imaginary part are thus successful.
This means that the zero point search in the high-value area of the imaginary part has succeeded in the 43.
We will also write 43 zero point searches of the successful high-value area of the imaginary part.
There are many counterexamples far beyond 0.5, which is far beyond the limit, but the computer can not calculate it.
Moreover, I believe that it can only be confirmed on supercomputer whether this is really counterexample. In addition, it is necessary to make corrections in the supercomputer.

**Category:** Number Theory

[5] **viXra:1903.0144 [pdf]**
*submitted on 2019-03-08 12:57:37*

**Authors:** Emmanuil Manousos

**Comments:** 10 Pages.

In this article, we define a pair of sequences (α, β). By using the properties of the pair (α, β), we establish a method for determining large prime numbers.

**Category:** Number Theory

[4] **viXra:1903.0104 [pdf]**
*replaced on 2019-03-19 10:13:33*

**Authors:** Kouji Takaki

**Comments:** 23 Pages.

We have obtained the conclusion that there are no odd perfect numbers.

**Category:** Number Theory

[3] **viXra:1903.0059 [pdf]**
*submitted on 2019-03-05 05:22:37*

**Authors:** Espen Gaarder Haug

**Comments:** 4 Pages.

In this paper, we point out an interesting asymmetry in the rules of fundamental mathematics between positive and negative numbers. Further, we show that there exists an alternative numerical system that is basically identical to today’s system, but where positive numbers dominate over negative numbers. This is like a mirror symmetry of the existing number system. The asymmetry in both of these systems leads to imaginary and complex numbers.
We suggest an alternative number system with perfectly symmetric rules – that is, where there is no dominance of negative numbers over positive numbers, or vice versa, and where imaginary and complex numbers are no longer needed. This number system seems to be superior to other number systems, as it brings simplicity and logic back to areas that have been dominated by complex rules for much of the history of mathematics. We also briefly discuss how the Riemann hypothesis may be linked to the asymmetry in the current number system.

**Category:** Number Theory

[2] **viXra:1903.0031 [pdf]**
*submitted on 2019-03-02 16:28:58*

**Authors:** Ahmad Telfah

**Comments:** 10 pages

this paper carrying a method to introduce the distribution of the densities of the prime numbers and the composite numbers along in natural numbers, the method basically depends on the direct deduction of the composite numbers in a specified intervals that also with using some corrections and modifications to reach maximum and minimum values of the composites and primes densities, this allowed us to detect some special conjectures related to the primes density.

**Category:** Number Theory

[1] **viXra:1903.0030 [pdf]**
*submitted on 2019-03-02 16:40:03*

**Authors:** Ahmad Telfah

**Comments:** 5 pages

this paper carrying a method to calculate an approximation to the number of the prime numbers in the natural numbers interval I={1,2,3,4,……,P_n,P_n+1,P_n+2,……,P_n^2 } by using the primes (2,3,5,…,P_n ) to specify the primes density in the sub intervals I(P_n ) as
I(P_n )={P_n^2 〖,P〗_n^2+1,P_n^2+2,P_n^2+3,……,P_(n+1)^2-1} has primes density of (d(P_n ))= ( ∏_(i=1)^(i=n)▒〖( 1- 1/P_i 〗 ).

**Category:** Number Theory