Number Theory

1808 Submissions

[8] viXra:1808.0284 [pdf] submitted on 2018-08-20 01:46:43

Discovery of the Prime Number Equation

Authors: Toshiro Takami
Comments: 9 Pages.

【Abstract】 I found a prime number equation. All prime numbers except 2 and 3 are expressed by the following formula. (a = positive integer, t = prime number) For other positive integers, t is an irrational number. As an exception, This generates all prime numbers except 2 and 3, but also generates a composite number of prime numbers. The composite number of the prime has regularity.
Category: Number Theory

[7] viXra:1808.0254 [pdf] submitted on 2018-08-18 07:57:07

New Discovery on Golbach Conjecture End Version

Authors: Bado Idriss Olivier
Comments: 7 Pages.

Goldbach's famous conjecture has always fascinated eminent mathematicians. In this paper we give a rigorous proof based on a new formulation, namely, that every even integer has a primo-raduis. Our proof is mainly based on the application of Chebotarev-Artin's theorem, Mertens' formula and the Principle exclusion-inclusion of Moivre
Category: Number Theory

[6] viXra:1808.0201 [pdf] replaced on 2018-08-18 00:13:24

The Distribution of Primes, II

Authors: Ihsan Raja Muda Nasution
Comments: 2 Pages.

In this paper, we find the axiomatic pattern of prime numbers.
Category: Number Theory

[5] viXra:1808.0193 [pdf] replaced on 2018-08-17 04:45:35

Proposal of Solution of the Riemann Hypothesis

Authors: Nicolò Rigamonti
Comments: Pages.

In these papers we will try to face the Riemann hypothesis, basing on the study of the functional equation of the Riemann zeta function.
Category: Number Theory

[4] viXra:1808.0190 [pdf] submitted on 2018-08-14 07:42:35

Gradshteyn and Ryzhik , Page 578 , Integral 4.371.1

Authors: Edgar Valdebenito
Comments: 5 Pages.

Some remarks on the integral 4.371.1 in G&R table of integrals.
Category: Number Theory

[3] viXra:1808.0187 [pdf] submitted on 2018-08-14 10:56:08

Sucesión de Series de Números Naturales Intercalados Entre Dos Números de Fibonacci. Y Aplicaciones.

Authors: Pedro Hugo García Peláez
Comments: 40 Pages.

La sucesión formada por la suma de los números naturales intercalados entre dos números de Fibonacci consecutivos tiene ciertas curiosas propiedades. No sé si la sucesión de Fibonacci tendra infinitos números primos, pero esta sucesión de tres números de Fibonacci genera números que no son primos. Incluso está formada por fracciones irreducibles lo que hace que se aproxime rápidamente a Phi cuadrado. Incluyo aplicaciones que sirven para el poker, el mercado de valores o la estadística.
Category: Number Theory

[2] viXra:1808.0180 [pdf] submitted on 2018-08-15 04:02:30

Equivalent of Brocard's Problem

Authors: Hajime Mashima
Comments: 2 Pages.

Brocard's problem was presented by Henri Brocard in 1876 and 1885. n! + 1 = m2. The number that satisfies this is called "Brown numbers" and three are known: (n;m) = (4; 5); (5; 11); (7:71).
Category: Number Theory

[1] viXra:1808.0074 [pdf] submitted on 2018-08-07 02:00:58

A Simple Proof of Fermat's Last Theorem

Authors: Angel Isaac Cruz Escalante
Comments: 3 Pages.

Fermat's last theorem states there are not solutions for a^x+b^x=c^x if (a,b,c,x) are positive integers and x>2, we can consider two possible cases for Fermat's last theorem, when x=4, and x=2n+1, n is natural numbers. case x=4 was proved by Fermat, here is a proof for case x=2n+1.
Category: Number Theory