[11] **viXra:1007.0049 [pdf]**
*submitted on 28 Jul 2010*

**Authors:** Tong Xin Ping

**Comments:** 4 pages. In Chinese

By the Chinese Remainder Theorem, we can obtain Goldbach' Primes

**Category:** Number Theory

[10] **viXra:1007.0048 [pdf]**
*submitted on 28 Jul 2010*

**Authors:** Tong Xin Ping

**Comments:** 2 pages. In Chinese

When i=1~r, the p and N are incongruent modulo p_{i}, The p is Goldbach' Primes

**Category:** Number Theory

[9] **viXra:1007.0046 [pdf]**
*submitted on 27 Jul 2010*

**Authors:** Tong Xin Ping

**Comments:** 3 pages. In Chinese

Use the inclusion-exclusion to show that the expression of the number of Goldbach' Primes.

**Category:** Number Theory

[8] **viXra:1007.0045 [pdf]**
*submitted on 27 Jul 2010*

**Authors:** Tong Xin Ping

**Comments:** 1 pages. In Chinese

By Eratosthenes' sieve method, we can obtain Goldbach' Primes.

**Category:** Number Theory

[7] **viXra:1007.0037 [pdf]**
*submitted on 24 Jul 2010*

**Authors:** Tong Xin Ping

**Comments:** 2 pages.

When the p is congruent to N modulo p_{i}, the p is not Goldbach' Primes.

**Category:** Number Theory

[6] **viXra:1007.0036 [pdf]**
*submitted on 24 Jul 2010*

**Authors:** Tong Xin Ping

**Comments:** 2 pages.

When n/2 + x and n/2 - x or y and y + (N-y) are primes, they are Goldbach'
Primes. Put it another way, The Goldbach' Primes are symmetric primes.

**Category:** Number Theory

[5] **viXra:1007.0025 [pdf]**
*submitted on 17 Jul 2010*

**Authors:** Chun-Xuan Jiang

**Comments:** 61 pages

Using Jiang function we prove that the new prime theorems (341)-(390) contain infinitely many
prime solutions and no prime solutions.

**Category:** Number Theory

[4] **viXra:1007.0021 [pdf]**
*submitted on 10 Jul 2010*

**Authors:** Chun-Xuan Jiang

**Comments:** 61 pages

Using Jiang function we prove that the new prime theorems (191)-(240) contain infinitely many
prime solutions and no prime solutions.

**Category:** Number Theory

[3] **viXra:1007.0015 [pdf]**
*submitted on 13 Mar 2010*

**Authors:** Florentin Smarandache

**Comments:** 3 pages

We define a class of sequences {a_{n}} by a_{1} = a and a_{n+1} = P(a_{n}), where P is
a polynomial with real coefficients. For which a values, and for which polynomials P
will these sequences be constant after a certain rank? Then we generalize it from
polynomials P to real functions f.
In this note, the author answers this question using as reference F. Lazebnik & Y.
Pilipenko's E 3036 problem from A. M. M., Vol. 91, No. 2/1984, p. 140.
An interesting property of functions admitting fixed points is obtained.

**Category:** Number Theory

[2] **viXra:1007.0013 [pdf]**
*submitted on 10 Jul 2010*

**Authors:** Chun-Xuan Jiang

**Comments:** 61 pages

Using Jiang function J_{2}(ω) we prove that the new prime theorems (291)-(340) contain infinitely many
prime solutions and no prime solutions.

**Category:** Number Theory

[1] **viXra:1007.0002 [pdf]**
*submitted on 2 Jul 2010*

**Authors:** Chun-Xuan Jiang

**Comments:** 61 pages

Using Jiang function J_{2}(ω) we prove that the new prime theorems (241)-(290) contain infinitely many
prime solutions and no prime solutions.

**Category:** Number Theory