[3] viXra:1104.0057 [pdf] submitted on 19 Apr 2011
Authors: Chun-Xuan Jiang
Comments: 21 pages.
In 1994 we discovered the new arithmetic function
J2(ω). Using it we proved
the binary Goldbach�s theorem [1]. In this chapter
we yield the more detailed proofs of the binary
Goldbach�s theorem using only partial primes.
Category: Number Theory
[2] viXra:1104.0011 [pdf] replaced on 8 Apr 2011
Authors: Chun-Xuan Jiang
Comments: 4 pages.
In this paper we prove
Rn = y15
− y25 has no
nonzero integer solutions for n ≥ 2. In 1978 using
this method we had proved Fermat�s last theorem [1].
But on the afternoon of July 19, 1978 this proof was
disproved by Chinese mathematics institute of Academia
Sinica. How tragic!
Category: Number Theory
[1] viXra:1104.0010 [pdf] submitted on 5 Apr 2011
Authors: Chun-Xuan Jiang
Comments: 4 pages.
In this paper we prove that Fermat-Catalan equations
d2 = a3 + c5 and
d2 = a3 + c7 have
infinitely many coprime integer solutions.
Category: Number Theory