Number Theory

1712 Submissions

[15] viXra:1712.0441 [pdf] submitted on 2017-12-13 11:00:55

Natural Squarefree Numbers: Statistical Properties.

Authors: Helmut Preininger
Comments: 42 Pages.

n this paper we calculate for various sets X (some subsets of the natural numbers) the probability of an element a of X is also squarefree. Furthermore we calculate the probability of c is squarefree, where c=a+b, a is an element of the set X and b is an element of the set Y.
Category: Number Theory

[14] viXra:1712.0434 [pdf] submitted on 2017-12-13 15:27:41

About the Conjecture of Syracuse

Authors: Antoine Balan
Comments: 2 pages, written in french

We show that the problem of Syracuse is a problem of complex analysis (Analytical Number Theory).
Category: Number Theory

[13] viXra:1712.0421 [pdf] submitted on 2017-12-12 09:31:48

3400 Pin Oak Rd

Authors: Ricardo Gil
Comments: 2 Pages. Don't worry folks I have been there on foot and in a car. Remain Calm.Have fun with it.

The purpose of this paper is to explain a Stargate or Temporal anomaly on Pin Oak Road
Category: Number Theory

[12] viXra:1712.0397 [pdf] submitted on 2017-12-10 06:30:48

Pie in Python_Piethon

Authors: Ricardo Gil
Comments: 2 Pages. If your computer can handle it the sky's the limit with regards to digits.

The objective of this paper is to provide everyone with a program in Piethon to be able to print 250,000 digits and if your computer allow to be able to print > 299792458 digits.
Category: Number Theory

[11] viXra:1712.0396 [pdf] submitted on 2017-12-10 10:16:41

Frequency Topology of Encryption

Authors: Ricardo Gil
Comments: 3 Pages. Mosses equals 500 in the Torah.

The objective of this paper is simplify frequency topology of encryption and lininear Graphs that can be represent in dimension 2 or greater.
Category: Number Theory

[10] viXra:1712.0384 [pdf] submitted on 2017-12-10 12:27:40

Discovering and Proving that Pi is Irrational, 2nd Edition

Authors: Timothy W. Jones
Comments: 11 Pages. This fixes a number of typos and adds two appendices to the 2010 article published by the MAA's Monthly.

Ivan Niven's proof of the irrationality of pi is often cited because it is brief and uses only calculus. However it is not well motivated. Using the concept that a quadratic function with the same symmetric properties as sine should when multiplied by sine and integrated obey upper and lower bounds for the integral, a contradiction is generated for rational candidate values of pi. This simplifying concept yields a more motivated proof of the irrationality of pi and pi squared.
Category: Number Theory

[9] viXra:1712.0366 [pdf] submitted on 2017-12-10 01:30:48

The Goldbach Conjecture

Authors: Barry Foster
Comments: 1 Page.

This treatment uses two simple facts and seems to confirm the Conjecture without providing an obvious method for discovering GP primes.
Category: Number Theory

[8] viXra:1712.0359 [pdf] replaced on 2017-12-12 02:10:44

千古奇冤,素数有限

Authors: Liu Ran
Comments: 6 Pages.

素数个数有限,并且找出欧几里德证明的瑕疵,并举出证据
Category: Number Theory

[7] viXra:1712.0353 [pdf] submitted on 2017-12-09 04:18:48

Goldbach Conjecture Proof

Authors: Bado idriss olivier
Comments: 6 Pages.

In this paper, we are going to give the proof of the Goldbach conjecture by introducing the lemma which implies Goldbach conjecture. first of all we are going to prove that the lemma implies Goldbach conjecture and in the following we are going to prove the validity of the lemma by using Chébotarev-Artin theorem's, Mertens formula and the Principle of inclusion - exclusion of Moivre
Category: Number Theory

[6] viXra:1712.0352 [pdf] submitted on 2017-12-09 04:21:53

Legendre Conjecture

Authors: Bado idriss olivier
Comments: 5 Pages.

In this paper, we are going to give the proof of legendre conjecture by using the Chebotarev -Artin 's theorem ,Dirichlet arithmetic theorem and the principle inclusion-exclusion of Moivre
Category: Number Theory

[5] viXra:1712.0342 [pdf] submitted on 2017-12-07 19:37:22

Disjunctive Sequence are Rare

Authors: F.L.B.Périat
Comments: 2 Pages.

Voici la démonstration que les nombres univers sont infiniment rare.
Category: Number Theory

[4] viXra:1712.0202 [pdf] submitted on 2017-12-06 19:30:08

Conjecture de Brocard et Nouvelle Conjecture

Authors: Réjean Labrie
Comments: 1 Page.

542 Place Macquet
Category: Number Theory

[3] viXra:1712.0135 [pdf] replaced on 2017-12-12 13:11:08

Proof of Beal’s Conjecture and Related Examples

Authors: Kamal Barghout
Comments: 18 Pages. The material in this article is copyrighted. Please obtain authorization from the author before use of any part of the manuscript

In this article we prove Beal’s conjecture by deductive reasoning by means of elementary algebraic methods. The main assertion in the proof stands upon that the LHS of Beal’s equation represents the sum of two monomial functions with common indeterminate. The monomial function on the RHS of Beal’s equation can be built from the sum of the two monomials on the LHS. The Greatest Common Factor (GCF) of the two terms on the LHS of the equation is a number in exponential form whose base is the common indeterminate of the two monomials. Upon factorization of the GCF, it must be combined with the sum of the two coefficients of the terms to yield the monomial on the RHS of the equation.
Category: Number Theory

[2] viXra:1712.0098 [pdf] submitted on 2017-12-05 06:02:16

Proof of Goldbach's Conjecture and Twin Prime Conjecture

Authors: Choe Ryujin
Comments: 6 Pages.

Proof of Goldbach's conjecture and twin prime conjecture
Category: Number Theory

[1] viXra:1712.0073 [pdf] submitted on 2017-12-03 17:31:02

The Goldbach's Theorem

Authors: Leszek W. Guła
Comments: 1 Page.

The Goldbach's Theorem
Category: Number Theory