# Number Theory

## 1308 Submissions

 viXra:1308.0122 [pdf] replaced on 2013-08-28 08:48:38

### Symmetry Distribution Law of Prime Numbers on Positive Integers and Related Results

Authors: Yibing Qiu

Abstract This article puts forward a new theorem concerns the distribution of prime numbers: Let integer n≥4, there exist two distinct odd primes p and q such that n﹣p＝q﹣n. Proves the theorem establish applied the Congruence theory and the Fermat's method of infinite descent. With the application of the theorem, reaches several results.
Category: Number Theory

 viXra:1308.0109 [pdf] submitted on 2013-08-20 12:15:04

### A Conjecture that Must be as Hard as Fermat's Last Theorem

Authors: Julien Laurendeau
Comments: 2 Pages. If you read this paper,pay a particularly strong attention on the end.

I will here state a conjecture of my own that will normally be so hard to prove as the Beal conjecture and Fermat’s last theorem.
Category: Number Theory

 viXra:1308.0084 [pdf] submitted on 2013-08-17 07:27:14

### Elliptic Curve Formula and Work on Dimensions

Authors: Julien Laurendeau

I will here conjecture and prove using formulas.
Category: Number Theory

 viXra:1308.0077 [pdf] submitted on 2013-08-15 10:34:17

### Proof for the 9 to 1 Twin Primes

Authors: Lenient T Tavengwa

The twin primes conjecture asserts that there are infinitely many primes p such that p + 2 is also prime. The present paper proves that.
Category: Number Theory

 viXra:1308.0074 [pdf] submitted on 2013-08-14 13:04:58

### Proof of the Infinite of the Twinprimes (New Called Primeangels)

Authors: Th. Guyer

Euklid's Theorem (of the infinite of the PrimeNumbers) is given; where p=prim and the TwinPrime(s) are called PrimeAngels. So P(rime)=P(rime) / P(rime)=N(o)P(rime); P/=NP is no longer available and the problem was hard for more than 2000 years!
Category: Number Theory

 viXra:1308.0071 [pdf] submitted on 2013-08-14 00:20:19

### Zeros Distribution of the Riemann Zeta-Function

Authors: Kairbek Kazbekov

Horizontal and vertical distributions of complex zeros of the Riemann zeta-function in the critical region are being found in general form in the paper on the basis of standard methods of function theory of complex variable.
Category: Number Theory

 viXra:1308.0055 [pdf] replaced on 2013-09-06 02:23:31

### There Are Infinitely Many Primes of the Form αβn+χ ,αnβ+χ and αβ1nmβ2+χ

Authors: Zhen Liu

Using the method for equation reconstruction of prime sequence, this paper gives the proof that there are infinitely many primes of the form αβn+χ ,αnβ+χ and αβ1nmβ2+χ.
Category: Number Theory

 viXra:1308.0045 [pdf] submitted on 2013-08-08 21:01:21

### An Elegant Proof that the Catalan’s Constant is Irrational

Authors: Edigles Guedes

We use the contradiction method for prove that the Catalan’s constant is irrational.
Category: Number Theory

 viXra:1308.0032 [pdf] submitted on 2013-08-05 18:39:33

### Using Probabilities of Prime Number Theorem to Prove Goldbach's Conjecture

Authors: Dmitri Abramov

This article will define the range in which there is at least one pair of odd primes that when added produce specific even number. It will prove that every even number in that range can be written as a sum of at least one pair of odd primes. Additionally, this paper will prove trivial soft versions of Goldbach's conjecture that follow from the hard version.
Category: Number Theory

 viXra:1308.0026 [pdf] replaced on 2013-09-20 09:07:16

### The Structurization of a Set of Positive Integers and Its Application to the Solution of the Twin Primes Problem

Authors: Alexander Fedorov