# Number Theory

## 1601 Submissions

 viXra:1601.0299 [pdf] submitted on 2016-01-28 03:19:09

### Proof of Syracuse-Collatz-3n+1-Conjecture

Authors: Mr Romdhane DHIFAOUI

Proof of Syracuse-Collatz-3n+1-conjecture
Category: Number Theory

 viXra:1601.0296 [pdf] submitted on 2016-01-27 04:19:27

### Riemann Expected Certification Challenge。

Authors: Terubumi Honjou

Currently, according to the common feeling of first class mathematician who, Lehman estimates prove key to unravel ultramicroscopic structure of vacuum space trying to complete the ultimate physical theory. Pulsation principle of particle physics is the physics of dark energy, aiming for the ultimate physical theory.
Category: Number Theory

 viXra:1601.0281 [pdf] replaced on 2016-02-06 18:03:20

### Riemann Hypothesis is Incorrect (Second Proof)

Authors: JinHua Fei

A few years ago, I wrote my paper . In the paper , I use Nevanlinna's Second Main Theorem of the value distribution theory, denied the Riemann Hypothesis. In this paper, I use the analytic methods, I once again denied the Riemann Hypothesis
Category: Number Theory

 viXra:1601.0219 [pdf] submitted on 2016-01-20 15:05:30

### Conjecture on an Infinity of Triplets of Primes Generated by Each 3-Poulet Number

Authors: Marius Coman

In this paper I present the following conjecture: for any 3-Poulet number (Fermat pseudoprime to base two with three prime factors) P = x*y*z is true that there exist an infinity of triplets of primes [a, b, c] such that x*a + a – x = y*b + b – y = z*c + c – z.
Category: Number Theory

 viXra:1601.0214 [pdf] replaced on 2016-01-22 17:56:52

### Two Proofs for the Existence of Integral Solutions (A1, A2,……,an) of the Equation a1 (P1^m) + a2 (P2^m)+……+ an (Pn^m) = 0 , for Sequence of Primes P1,p2,…,pn , and Where M is a Positive Integer

Authors: Prashanth R. Rao
Comments: 2 Pages. Pls keep both versions. Thank you.

We prove using Bezout’s identity that a1p1m + a2p2m+……+ anpnm =0 has integral solutions for a1, a2,……,an, where p1,p2,…,pn is a sequence of distinct prime and m is any positive integer.
Category: Number Theory

 viXra:1601.0207 [pdf] replaced on 2016-01-29 12:44:49

### Interpreting the Summation Notation When the Lower Limit is Greater Than the Upper Limit

Comments: 6 Pages. added examples, corrected typos

In interpreting the sigma notation for finite summation, it is generally assumed that the lower limit of summation is less than or equal to the upper limit. This presumption has led to certain misconceptions, especially concerning what constitutes an empty sum. This paper addresses how to construe the sigma notation when the lower limit is greater than the upper limit
Category: Number Theory

 viXra:1601.0161 [pdf] submitted on 2016-01-15 03:20:47

### Three Conjectures on the Numbers of the Form P(p+4n)-60n Where P and P+4n Primes

Authors: Marius Coman

In this paper I present three conjectures on the numbers of the form p*(p + 4*n) – 60*n, where p and p + 4*n are primes, more accurate a general conjecture and two particular ones, on the numbers of the form p*(p + 4) – 60 respectively p*(p + 20) - 300.
Category: Number Theory

 viXra:1601.0156 [pdf] submitted on 2016-01-14 12:39:01

### Two Conjectures on the Numbers of the Form 4p^4-800p^2+5 Where P is Prime

Authors: Marius Coman

In this paper I state two conjectures on the numbers of the form 4*p^4 – 800*p^2 + 5, where p is prime, i.e. that there exist an infinity of primes of such form respectively that there exist an infinity of sempiprimes q*r of such form, where r = q + 40*n, where n positive integer.
Category: Number Theory

 viXra:1601.0155 [pdf] submitted on 2016-01-14 12:41:06

### Conjecture on the Primes of the Form (Q+n)2^n+1 Where Q Odd Prime

Authors: Marius Coman

In this paper I first conjecture that for any non-null positive integer n there exist an infinity of primes p such that the number q = (p – 1)/2^n – n is also prime and than I conjecture that for any odd prime q there exist an infinity of positive integers n such that the number p = (q + n)*2^n + 1 is prime.
Category: Number Theory

 viXra:1601.0114 [pdf] submitted on 2016-01-11 07:25:32

### Fermat Last Theorem Original Proof for N>2 by a Srilankan

Authors: G.L.W.A Jayathilaka
Comments: 1 Page. This is very important to the world because This proof may be Fermat original proof because brief and easy to understand. So it matches to Fermat time.

Fermat last theorem original proof when n>2, proved by me. My name is G.L.W.A Jayathilaka. Address--Guruwattha walawwa, Meetiyagoda, Srilanka
Category: Number Theory

 viXra:1601.0109 [pdf] replaced on 2016-01-18 21:00:12

### Goldbach's Conjecture Proof

Authors: Angel Isaac Cruz Escalante

A proof of Goldbach's conjecture
Category: Number Theory

 viXra:1601.0053 [pdf] submitted on 2016-01-06 13:59:31

### Fermat Last Theorem Original Proof by a Srilankan

Authors: G.L.W.A Jayathilaka
Comments: 1 Page. all journals are invited by the Author to consider this great proof

This proof may be the original proof of Fermat last theorem that Fermat had. Because It is not difficult and easy to understand. So this proof is very useful to the world.
Category: Number Theory

 viXra:1601.0043 [pdf] submitted on 2016-01-05 18:05:23

### Divide the Beal’s Conjecture into Several Parts to Prove the Beal’s Conjecture

Authors: Zhang Tianshu