[2] viXra:0904.0003 [pdf] submitted on 7 Apr 2009
Authors: Chun-Xuan Jiang
Comments: recovered from sciprint.org
By using the Jiang's function J2(ω) we prove that there exist infinitely many integers n such
that n = 2P1, n+1 = 3P2, ..., n+k-1 = (k+1)Pk are all composites for arbitrarily
long k, where P1, P2, ..., Pk are all
primes. This result has no prior occurrence in the history of number theory.
Category: Number Theory
[1] viXra:0904.0001 [pdf] submitted on 6 Apr 2009
Authors: Chun-Xuan Jiang
Comments: recovered from sciprint.org
Using Jiang function we prove the foundamental theorem in arithmetic progression of primes.
The primes contain only k < Pg+1 long arithmetic progressions, but the primes have no k > Pg+1 long
arithmetic progressions. Terence Tao is recipient of 2006 Fields medal. Green and Tao proved
that the primes contain arbitrarily long arithmetic progressions which is absolutely false.
They do not understand the arithmetic progression of primes.
Category: Number Theory