[19] **viXra:1807.0533 [pdf]**
*submitted on 2018-07-31 08:23:22*

**Authors:** Andrey B. Skrypnik

**Comments:** 2 Pages.

This is the third result of applying Formula of Disjoint Sets of Odd Numbers

**Category:** Number Theory

[18] **viXra:1807.0512 [pdf]**
*submitted on 2018-07-30 22:07:40*

**Authors:** Andrey B. Skrypnik

**Comments:** 2 Pages.

This is the second result of applying Formula of Disjoint Sets of Odd Numbers

**Category:** Number Theory

[17] **viXra:1807.0510 [pdf]**
*replaced on 2018-08-25 05:18:13*

**Authors:** Elhadj Zeraoulia

**Comments:** 13 Pages.

The main objective of this short note is prove that some statements
concerning the representation of even integers by the sum of prime
numbers are equivalent to some true trivial case. This implies that
these statements are also true. The analysis is based on a new prime
formula and some trigonometric expressions.

**Category:** Number Theory

[16] **viXra:1807.0494 [pdf]**
*submitted on 2018-07-30 04:59:52*

**Authors:** Andrey B. Skrypnik

**Comments:** 4 Pages.

This is the first result of applying Formula of Disjoint Sets of Odd Numbers

**Category:** Number Theory

[15] **viXra:1807.0484 [pdf]**
*submitted on 2018-07-28 07:29:36*

**Authors:** Andrey B. Skrypnik

**Comments:** 4 Pages.

Destroyed another fortress of unproven tasks

**Category:** Number Theory

[14] **viXra:1807.0397 [pdf]**
*submitted on 2018-07-24 08:45:37*

**Authors:** Edgar Valdebenito

**Comments:** 2 Pages.

This note presents some trigonometric integrals.

**Category:** Number Theory

[13] **viXra:1807.0396 [pdf]**
*submitted on 2018-07-24 08:49:06*

**Authors:** Edgar Valdebenito

**Comments:** 2 Pages.

This note presents a definite integral related with the Euler-Mascheroni constant.

**Category:** Number Theory

[12] **viXra:1807.0374 [pdf]**
*submitted on 2018-07-22 12:50:11*

**Authors:** Abhijit Bhattacharjee

**Comments:** 4 Pages.

Finiteness of a nonlinear diphantine equation is proved.

**Category:** Number Theory

[11] **viXra:1807.0283 [pdf]**
*submitted on 2018-07-15 09:39:24*

**Authors:** Andrey B. Skrypnik

**Comments:** 2 Pages.

This is the third result of applying Formula of Disjoint Sets of Odd Numbers

**Category:** Number Theory

[10] **viXra:1807.0266 [pdf]**
*submitted on 2018-07-14 05:44:43*

**Authors:** Victor Sorokine

**Comments:** 2 Pages.

The study of digits of numbers related to the Fermat's equation shows Fermat's equality is impossible, for n>2.

**Category:** Number Theory

[9] **viXra:1807.0265 [pdf]**
*submitted on 2018-07-14 05:47:47*

**Authors:** Victor Sorokine

**Comments:** 1 Page. Russian version

Изучение цифр чисел, зависящих от уравнения Теоремы Ферма, показывает, что уравнение невозможно для n>2.
The study of digits of numbers related to the Fermat's equation shows Fermat's equality is impossible, for n>2.

**Category:** Number Theory

[8] **viXra:1807.0256 [pdf]**
*submitted on 2018-07-13 06:32:07*

**Authors:** Andrey B. Skrypnik

**Comments:** 2 Pages.

This is the second result of applying Formula of Disjoint Sets of Odd Numbers

**Category:** Number Theory

[7] **viXra:1807.0182 [pdf]**
*submitted on 2018-07-10 06:58:50*

**Authors:** Andrey B. Skrypnik

**Comments:** 4 Pages.

This is the first result of applying Formula of Disjoint Sets of Odd Numbers

**Category:** Number Theory

[6] **viXra:1807.0116 [pdf]**
*replaced on 2018-07-08 02:27:39*

**Authors:** Andrey B. Skrypnik

**Comments:** 4 Pages.

Destroyed another fortress of unproven tasks

**Category:** Number Theory

[5] **viXra:1807.0100 [pdf]**
*replaced on 2018-07-14 00:12:41*

**Authors:** Robert Spoljaric

**Comments:** 2 Pages.

In this note we show which rows in Pascal’s Triangle sum to Perfect Numbers. We end this note with an algorithm allowing us to trivially calculate all the proper divisors for any Perfect Number greater than 6.

**Category:** Number Theory

[4] **viXra:1807.0099 [pdf]**
*submitted on 2018-07-05 04:35:17*

**Authors:** Mihir Kumar Jha

**Comments:** 2 Pages.

The motive of this paper is to put forward a new approach to find the value of infinite sum series, given by S = (1+2+3+4+5+6-----) and to show that, the series converges at the value equal to zero.

**Category:** Number Theory

[3] **viXra:1807.0055 [pdf]**
*submitted on 2018-07-02 12:18:14*

**Authors:** Zeolla Gabriel Martín

**Comments:** 8 Pages.

This paper develops the divisibility of the so-called Simple Primes numbers (1 to 9), this paper is the continuation of the Golden Pattern. In this summary I will show that the inverted sum ordered by columns maintains amazing equivalences and proportions

**Category:** Number Theory

[2] **viXra:1807.0053 [pdf]**
*submitted on 2018-07-02 16:18:53*

**Authors:** Alfredo Olmos hHernández

**Comments:** 3 Pages.

In this article, we proceed to study and apply the properties of the Gamma function to obtain a formula that allows us to calculate the sum of the first n factorial numbers.

**Category:** Number Theory

[1] **viXra:1807.0048 [pdf]**
*submitted on 2018-07-03 02:58:32*

**Authors:** Simon Plouffe

**Comments:** 48 Pages.

These are scans of my pages of the inverter in 1988, they were done on a Mac 512 with diskettes and paper (about 1 foot thick). The main catalog was on Hypercard. The format at the time was 41 digits in scientific notation and some acronyms for constants
ND = golden ratio
sqr = sqrt
EG = exp(gamma)
s = sin
c = cos

**Category:** Number Theory