# Number Theory

## 1402 Submissions

 viXra:1402.0165 [pdf] submitted on 2014-02-26 19:24:20

### The Void of the Critical Line

Authors: Ihsan Raja Muda Nasution

We just use a certain algorithmic procedure to eliminate the critical line from the complex plane. As the result, we obtain a disproof of the Riemann hypothesis in a simple manner.
Category: Number Theory

 viXra:1402.0159 [pdf] submitted on 2014-02-25 20:02:48

### Prove Beal’s Conjecture by Fermat’s Last Theorem (After Modification)

Authors: Zhang Tianshu

In this article, we will prove the Beal’s conjecture by certain usual mathematical fundamentals with the aid of proven Fermat’s last theorem, and finally reach a conclusion that the Beal’s conjecture is tenable.
Category: Number Theory

 viXra:1402.0128 [pdf] submitted on 2014-02-19 09:37:38

### A Very Simple Formula Which Conducts to Large Primes and Products of Very Few Primes

Authors: Marius Coman

Obviously, like everyone fond of arithmetic, I always dreamed to discover formulas to generate only primes; unfortunately, during the time, I dropped somewhat to find this Holy Grail. I found out that there are formulas that generate only primes, like Rowland’s formula, but often these formulas haven’t the desired impact, because, for instance, the value of the numbers used as “input” is larger than the one of the primes obtained as “output” and so on. In this paper I present a very simple formula based on Smarandache function, which, using primes of a certain form, conducts often to larger primes and products of very few primes and I also make four conjectures.
Category: Number Theory

 viXra:1402.0122 [pdf] submitted on 2014-02-18 07:32:10

### The Prove Goldbach Conjecture Method, Equations of Inference

Authors: Ren Yongxue1 ; Ren Yi 2

the paper methods of proof goldbach conjecture equations of （a+b）=2√A1， in quadrant I n d space coordinate system, demonstrate the sum of any two real Numbers (a + b) is equal to the NTH power by the sum of the two real Numbers (a + b) for a quarter of a square of side area of the square root of 2 times the NTH power. N scope is: n p 0 n ∈ n (positive integer infinite set)
Category: Number Theory

 viXra:1402.0119 [pdf] submitted on 2014-02-18 11:52:11

### Few Interesting Sequences Obtained by Recurrence and Based on Smarandache Function

Authors: Marius Coman

In one of my previous papers, “An ordered set of certain seven numbers that results constantly from a recurrence formula based on Smarandache function”, combining two of my favorite topics of study, the recurrence relations and the Smarandache function, I discovered that the formula f(n) = S(f(n – 2)) + S(f(n – 1)), where S is the Smarandache function and f(1), f(2) are any given different non-null positive integers, seems to lead every time to a set of seven values (i.e. 11, 17, 28, 24, 11, 15, 16) which is then repeating infinitely. In this paper I show few other interesting patterns based on recurrence and Smarandache function and I define the Smarandache-Coman constants.
Category: Number Theory

 viXra:1402.0088 [pdf] submitted on 2014-02-13 14:08:04

### Two Conjectures on Primes and a Conjecture on Fermat Pseudoprimes to Base Two

Authors: Marius Coman

I treated the 2-Poulet numbers in many papers already but they continue to be a source of inspiration for me; in this paper I make two conjectures on primes inspired by the relation between the prime factors of a 2-Poulet number and I also make a conjecture on Fermat pseudoprimes to base two.
Category: Number Theory

 viXra:1402.0073 [pdf] submitted on 2014-02-10 07:00:37

### The Smarandache-Korselt Criterion, a Variant of Korselt’s Criterion

Authors: Marius Coman

Combining two of my favourite objects of study, the Fermat pseudoprimes and the Smarandache function, I was able to formulate a criterion, inspired by Korselt’s criterion for Carmichael numbers and by Smarandache function, which seems to be necessary (though not sufficient as the Korselt’s criterion for absolute Fermat pseudoprimes) for a composite number (without a set of probably definable exceptions) to be a Fermat pseudoprime to base two.
Category: Number Theory

 viXra:1402.0030 [pdf] submitted on 2014-02-04 05:51:32

### Phi and Euler Numbers Guide Universal Growth

Authors: John Frederick Sweeney
Comments: 12 Pages. includes graphics

The Euler e is a natural logarithm from which matter begins. Now, in Vedic Physics, it would appear that matter develops along the range of Phi, or the Golden Section, which forms the border between the 8 x 8 and 9 x 9 states of matter. Therefore, Phi would form the exterior of any object formed completely of one state of matter, and the border between the two states of any object formed of two states of matter. The third state of matter is invisible to us, and known generally in world cultures by the concept of “hell,” which is a misnomer and which represents a serious misunderstanding of Vedic science. We can know its general proportions by reflecting from positive Phi values into the Thaasic zone from the 8 x 8 Satwa or 9 x 9 Raja zones. This paper presents values for all of these zones, and shows how the euler logarithm is built into the Great Pyramid at Giza.
Category: Number Theory

 viXra:1402.0029 [pdf] submitted on 2014-02-04 06:04:17

### Zeller's Congruence Theorem

Authors: Wenceslao Segura González
Comments: 8 Pages. Spanish

We formulate and prove a theorem that allows us to establish the analytical function of an application between integer numbers that is closely linear. The theorem is widely used in Calendarists calculations, especially in converting dates from one calendar to another. In the second part of this research we apply the theorem to several specific cases that appear in the theory of the calendars.
Category: Number Theory

 viXra:1402.0003 [pdf] replaced on 2014-02-03 01:35:50

### A Recurrent Formula Inspired by Rowland’s Formula and Based on Smarandache Function Which Might be a Criterion for Primality

Authors: Marius Coman