Number Theory

1204 Submissions

[8] viXra:1204.0063 [pdf] submitted on 2012-04-15 20:09:07

Santilli-Jiang Isonumber Theory

Authors: Chun-Xuan Jiang
Comments: 15 Pages.

We establish Santilli-Jiang isonumber theory based on the generalization of unit and zero.
Category: Number Theory

[7] viXra:1204.0053 [pdf] replaced on 2012-05-03 19:23:08

A Quantitative Proof of Goldbach's Conjecture

Authors: Carlos Giraldo Ospina
Comments: 7 Pages.

Goldbach's Conjecture states that every even integer greater than 2 can be expressed as the sum of two prime numbers. This paper provides a quantitative proof of this famous conjecture.
Category: Number Theory

[6] viXra:1204.0046 [pdf] submitted on 2012-04-12 21:15:39

Generalized Pythagorean Triples:$(a1)^2+(b1)^2+...+(bn)^2=(cn)^2$

Authors: Chun-Xuan Jiang
Comments: 4 Pages.

In $ a^2+b^2=c^2$ there are infinitely many primes a and c solutions.The generalized Pythagoren triples:$(a1)^2+(b1)^2+...+(bn)^2=(cn)^2 $ has infinitely many integer solutions.There are infinitely many primes a1=p such that c1,... cn are all prime.
Category: Number Theory

[5] viXra:1204.0044 [pdf] replaced on 2012-04-12 10:43:16

Solution for Polignac's Conjecture

Authors: Wilber Valgusbitkevyt
Comments: 2 Pages. Finished solving it.

The proof for Goldbach's Conjecture is applicable here.
Category: Number Theory

[4] viXra:1204.0040 [pdf] submitted on 2012-04-10 16:12:48

Fermat's Last Theorem-a One Page Proof

Authors: Shekman Arieh
Comments: 6 Pages.

Abstract. This article presents the shortest possible proof of Fermat's Last Theorem of any that have ever been published. It might be the one that Fermat had hinted about in his copy of Diophanti's Arithmetic Book.
Category: Number Theory

[3] viXra:1204.0021 [pdf] replaced on 2012-04-12 09:03:04

Solution for Goldbach Conjecture

Authors: Wilber Valgusbitkevyt
Comments: 2 Pages. Rewrote after Latex tutorials

For all even numbers 2X >= 4, if X >= 4, there exists a prime number X - A always such that X + A is also a prime number. For X = 2 and 3, 2X is 2 + 2 and 3 + 3. Hence, Goldbach Conjecture is true.
Category: Number Theory

[2] viXra:1204.0010 [pdf] submitted on 2012-04-03 20:05:28

Solution of Erdős Conjecture on Arithmetic Progressions

Authors: Wilber Valgusbitkevyt
Comments: 3 Pages.

I used reverse modus ponens. The rest is just a regular 3rd year undergraduate mathematics.
Category: Number Theory

[1] viXra:1204.0007 [pdf] submitted on 2012-04-03 18:28:40

A Qualitative Proof of Goldbach's Conjecture

Authors: Carlos Giraldo Ospina
Comments: 4 Pages.

Goldbach's Conjecture states that every even integer greater than 2 can be expressed as the sum of two prime numbers. This paper provides a qualitative proof of this famous conjecture.
Category: Number Theory