[7] **viXra:1203.0082 [pdf]**
*submitted on 2012-03-21 23:21:01*

**Authors:** Choe Ryong Gil

**Comments:** 37 pages

In this paper we obtain a certain estimate for the difference between the consecutive prime numbers. For this purpose, we consider an opimization problem of an exponential function including the prime numbers. The estimate obtained from this paper is a new result for the distribution of the prime numbers.

**Category:** Number Theory

[6] **viXra:1203.0075 [pdf]**
*submitted on 2012-03-19 10:44:15*

**Authors:** Louis D. Grey

**Comments:** 3 Pages.

It is a well known result that for a prime of the form 4k+3, there are more quadratic residues than non-residues in the interval (1,(p-1)/2). Using elementary methods,we provide an asymptotic estimate for the number of residues in the interval.

**Category:** Number Theory

[5] **viXra:1203.0073 [pdf]**
*submitted on 2012-03-19 11:47:19*

**Authors:** Louis D. Grey

**Comments:** Pages. Remove word "louis" after title of paper

We prove a special case of C.L. Siegel's theorem regarding the class number of binary quadratic forms with fundamental discriminant -D<0.

**Category:** Number Theory

[4] **viXra:1203.0064 [pdf]**
*replaced on 2012-04-05 08:25:08*

**Authors:** Ricardo G. Barca

**Comments:** 23 Pages.

Let a (a greater equal than 5042) be an even number such that a is not twice
a prime. Let { p_1, p_2, p_3, ..., p_k } be the ordered set of k primes
less than the square root of a. Every natural number n < a can be
associated with a k-tuple, the elements of which are the remainders of
dividing n by p_1, p_2, p_3, ..., p_k. These k-tuples are classified in
two types: prohibited or permitted, according to the type of the
remainders that form the k-tuple. We prove that if p is a prime number less
than a, therefore if p is not congruent with p_h, for every p_h in { p_1, p_2,
p_3, ..., p_k }, then a-p is a prime or a-p=1. In that case, a permitted
k-tuple is associated with p. We use this fact to prove that every even
number a > 5042 is the sum of two odd primes.

**Category:** Number Theory

[3] **viXra:1203.0060 [pdf]**
*submitted on 2012-03-16 02:45:52*

**Authors:** Chun-Xuan Jiang

**Comments:** 90 Pages. It is the very important paper for number theory

Using Jiang function we prove the new prime theorems(1441)-(1480).

**Category:** Number Theory

[2] **viXra:1203.0050 [pdf]**
*submitted on 2012-03-14 19:21:00*

**Authors:** Chun-Xuan Jiang

**Comments:** 90 Pages.

using Jiang function we prove the new prime theorems(1491)-��1540��

**Category:** Number Theory

[1] **viXra:1203.0019 [pdf]**
*replaced on 2012-03-06 19:53:44*

**Authors:** Chun-Xuan Jiang

**Comments:** 5 Pages.

All eyes are on the Riemann hypothesis,zeta and L-functions ,which are false ,please read this paper.

**Category:** Number Theory