Number Theory

1902 Submissions

 viXra:1902.0406 [pdf] submitted on 2019-02-25 03:49:20

Distribution od Prime Numbers.

Authors: Dariusz Gołofit

If we elimate an ordered subset from the ordered set, we will receive a subset od orderly character.
Category: Number Theory

 viXra:1902.0405 [pdf] submitted on 2019-02-25 03:54:25

Power od the Set of Prime Numbers.

Authors: Dariusz Gołofit

If we elimate an ordered subset from the ordered set, we will receive a subset od orderly character.
Category: Number Theory

 viXra:1902.0395 [pdf] submitted on 2019-02-23 20:22:29

On the ABC Conjecture: The Iron Law of Sines, or Using Collatz Conjecture to solve the ABC Conjecture

Authors: Nicholas R. Wright

This proof identifies the three solutions to the three ABC-conjecture formulations. Given that the ABC-conjecture’s relevance to a slew of unsolved problems, other equations will be proven by inspection. Aside from the ABC conjecture, this proof will solve for a hypothetical Moore graph of diameter 2, girth 5, degree 57 and order 3250 (degree-diameter problem); the Collatz conjecture; and the Beal conjecture. Discussion and conclusion will review a unifying solution by spectral graph theory.
Category: Number Theory

 viXra:1902.0390 [pdf] replaced on 2019-03-16 21:21:15

Twin Prime Conjecture Proof

Authors: ZhangAik, Leet_Noob

The elementary proof to the twin conjecture.
Category: Number Theory

 viXra:1902.0235 [pdf] submitted on 2019-02-13 05:23:19

The Proof of The ABC Conjecture - Part I: The Case c=a+1

In this paper, we consider the abc conjecture in the case c=a+1. Firstly, we give the proof of the first conjecture that c rad(ac). We choose the constant K(\epsilon) as K(\epsilon)=e^{\left(\frac{1}{\ep*2} \right)}. A numerical example is presented.
Category: Number Theory

 viXra:1902.0200 [pdf] submitted on 2019-02-11 06:24:07

A Theorem on Sum of Triple of Distinct Proper Fractions

Authors: Faisal Amin Yassein Abdelmohssin

I claim that the sum of following distinct proper fractions [(1/2),(1/3),(1/6)] is the only triple of distinct proper fraction that sum to 1 {i.e. [(1/2)+(1/3)+(1/6)]=1}.
Category: Number Theory

 viXra:1902.0147 [pdf] replaced on 2019-05-03 15:42:36

Definitive Proof of the Near-Square Prime Conjecture, Landau’s Fourth Problem

Authors: Kenneth A. Watanabe

The Near-Square Prime conjecture, states that there are an infinite number of prime numbers of the form x^2 + 1. In this paper, a function was derived that determines the number of prime numbers of the form x^2 + 1 that are less than n^2 + 1 for large values of n. Then by mathematical induction, it is proven that as the value of n goes to infinity, the function goes to infinity, thus proving the Near-Square Prime conjecture.
Category: Number Theory

 viXra:1902.0106 [pdf] replaced on 2019-02-10 10:53:42

Remark on Last Fermat's Theorem

Authors: Algirdas Antano Maknickas

This remark gives analytical solution of Last Fermat's Theorem
Category: Number Theory

 viXra:1902.0040 [pdf] submitted on 2019-02-02 16:34:38

A Complete Proof of the abc Conjecture: The End of The Mystery

Comments: 9 Pages. A Complete proof of the abc conjecture using elementary calculus with numerical examples. Submitted to the Ramanujan Journal. Your comments are welcome.

In this paper, we consider the abc conjecture. Firstly, we give a proof of a first conjecture that crad(abc). We choose the constant K(\ep) as K(\ep)=6*{1+\ep}e*{\left(\frac{1}{\ep*2}-\ep \right)}. Five numerical examples are presented.
Category: Number Theory

 viXra:1902.0036 [pdf] submitted on 2019-02-03 00:15:01

Une Formule Pour Les Nombres Premiers

Authors: Simon Plouffe