Number Theory

1007 Submissions

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

Goldbach' Conjecture (6): The Chinese Remainder Theorem And Goldbach' Primes

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

Goldbach' Conjecture (5): When I=1~r, the P and N Are Incongruent Modulo Pi, the P is Goldbach' Primes

Authors: Tong Xin Ping
Comments: 2 pages. In Chinese

When i=1~r, the p and N are incongruent modulo pi, The p is Goldbach' Primes
Category: Number Theory

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

Goldbach' Conjecture (4): the Expression of the Number of Goldbach' Primes

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

Goldbach' Conjecture (3): Goldbach' Primes and Eratosthenes' Sieve Method

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

Goldbach' Conjecture (2): When the P is Congruent to N Modulo Pi, the P is not Goldbach' Primes

Authors: Tong Xin Ping
Comments: 2 pages.

When the p is congruent to N modulo pi, the p is not Goldbach' Primes.
Category: Number Theory

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

Goldbach' Conjecture (1): Goldbach' Primes are Symmetric Primes

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

The New Prime Theorem (341)-(390)

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

The New Prime Theorem (191)-(240)

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

A Class of Stationary Sequences

Authors: Florentin Smarandache
Comments: 3 pages

We define a class of sequences {an} by a1 = a and an+1 = P(an), 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

The New Prime Theorem (291)-(340)

Authors: Chun-Xuan Jiang
Comments: 61 pages

Using Jiang function J2(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

The New Prime Theorem (241)-(290)

Authors: Chun-Xuan Jiang
Comments: 61 pages

Using Jiang function J2(ω) we prove that the new prime theorems (241)-(290) contain infinitely many prime solutions and no prime solutions.
Category: Number Theory