[3] **viXra:0703.0031 [pdf]**
*submitted on 25 Mar 2007*

**Authors:** Chun-Xuan Jiang

**Comments:** recovered from sciprint.org

In this paper using the arithmetic function J2 (w) we prove that there exist infinitely
many integers n such that each of consecutive integers n, n +1,L, n +14 is
exactly k prime factors

**Category:** Number Theory

[2] **viXra:0703.0030 [pdf]**
*submitted on 25 Mar 2007*

**Authors:** Chun-Xuan Jiang

**Comments:** recovered from sciprint.org

There cannot be number theory of the twentieth century, the Shimura-Taniyama-Weil conjecture (STWC) and the Langlands program (LP) without the Riemann hypothesis (RH). By using RH it is possible to prove five hundred theorems or more including Wiles’ theorem of Fermat’s last theorem (FLT) which is false, because RH is disproved.

**Category:** Number Theory

[1] **viXra:0703.0029 [pdf]**
*submitted on 25 Mar 2007*

**Authors:** Roger Ellman

**Comments:** recovered from sciprint.org

There can be no non-zero integer solution for n>2 to the equation

**Category:** Number Theory