Number Theory

1807 Submissions

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

Proof of the Fourth Landau's Problem

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

Fermat’s Theorem: А+В-С is not a Natural Number

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

Теорема Ферма: А+В-С не является натуральным числом

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

Proof of the Legendre's Conjecture

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

Proof of the Goldbach's Conjecture

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

Proof of the Second Landau's Problem

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

Which Rows in Pascal’s Triangle Sum to Perfect Numbers?

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

The Infinite Sum Series

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

Inverted Sum of the 7-Golden Pattern

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

Sum of the First N Factorial Numbers

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

First Tables of the Inverter, Oct. 1988

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