Number Theory

1606 Submissions

[16] viXra:1606.0345 [pdf] submitted on 2016-06-30 11:00:58

A Polynomial Recursion for Prime Constellations

Authors: Scott B. Guthery
Comments: 8 Pages.

An algorithm for recursively generating the sequence of solutions of a prime constellation is described. The algorithm is based on an polynomial equation formed from the first n elements of the constellation. A root of this equation is the next element of the sequence.
Category: Number Theory

[15] viXra:1606.0327 [pdf] submitted on 2016-06-29 07:46:25

The Logic of the Prime Numbers

Authors: Mohamed Ouiter
Comments: 7 Pages.

From the definition that a number is Prime if he admits that two dividers and any number not prime can it write as a product of prime factors, I was able to identify a simple law that governs the distribution of prime numbers.
Category: Number Theory

[14] viXra:1606.0310 [pdf] submitted on 2016-06-28 09:09:00

Do Prime Numbers Obey a Three Dimensional Double Helix?

Authors: Peter Bissonnet
Comments: 14 Pages.

When a subset of sequential integers is arranged in a specific way, there appears a paired set of slanted straight lines along which prime numbers seem to naturally arrange themselves in a repeated fashion. This arrangement can further be observed to be a two dimensional surface applicable to the cylinder. If this arrangement is on a piece of paper, then one can fold the paper in the form of a cylinder, and the paired set of slanted straight lines unite at the page edges to form a double helix winding down the cylinder. Paired primes are thus seen to be an association between primes residing on these two paired helixes, and further analysis shows that there appears to be two types of paired primes. Is the prime number double helix nature’s secret for jump starting life (DNA) and thereby defeating entropy (at least in the initial stage) by creating order from order instead of order from disorder? The prime number trends examined exhibit right handed chirality; left handed chirality is obtained by symmetry considerations.
Category: Number Theory

[13] viXra:1606.0306 [pdf] submitted on 2016-06-28 09:30:16

An Investigation into Reducing a Prime Product From Two Seemingly Independent Variables to Only One Independent Variable

Authors: Peter Bissonnet
Comments: 2 Pages. This is a Russian journal named "Almanac of Modern Science and Education" and can be found at the following link: http://www.gramota.net/eng/editions/5.html

This very short paper illustrates a mathematical method which illustrates the possibility of reducing a prime product (N = PQ) from two independent variables, namely the two original prime numbers P and Q, to only one independent variable which determines both prime numbers.
Category: Number Theory

[12] viXra:1606.0302 [pdf] replaced on 2016-07-21 20:07:29

The Reration of Recurring Decimal and Primitive Root

Authors: T.Nakashima
Comments: 2 Pages.

reration of recurring decimal and primitive root
Category: Number Theory

[11] viXra:1606.0250 [pdf] replaced on 2023-04-30 11:41:05

Mathematical Foundations of Unifying Gravitation and Electromagnetism

Authors: Sadegh Mousavi, Rahmatollah Eskandari
Comments: 9 Pages.

Effects of gravitational and electromagnetic fields on a space-time are each separately formulated and mathematically explained using tensors. In general relativity theory, the effect of gravitational field on a space-time has been explained by Albert Einstein using Ricci tensor while electromagnetic tensor satisfying Maxwell's equations explains the effect of electromagnetic field on a space-time. As both gravitational and electromagnetic fields co-exist and affect the space-time simultaneously, two second rank tensors should be used to simultaneously formulate both of their effects on a space-time in a unified field equation. To achieve such a goal, a five-dimensional space-time is proposed.
Category: Number Theory

[10] viXra:1606.0184 [pdf] submitted on 2016-06-17 22:38:57

1. Universal Relative Metric That Generates A Field Super-Set To The Fields Generated By Some Number Of Distinct Relative Metrics 2. Universal Function Generation (NT)

Authors: Ramesh Chandra Bagadi
Comments: 18 Pages.

In this research investigation, the author has presented a theory of ‘Universal Relative Metric That Generates A Field Super-Set To The Fields Generated By Various Distinct Relative Metrics’.
Category: Number Theory

[9] viXra:1606.0173 [pdf] submitted on 2016-06-17 08:50:55

1. Universal Holistic Beauty Primality Tree Of Any Set 2. Universal Growth Of Any Given Set (NT)

Authors: Ramesh Chandra Bagadi
Comments: 16 Pages.

In this research investigation, the author has presented a theory of ‘Universal Holistic Beauty Primality Tree Of Any Set, Universal Growth Of Any Given Set’.
Category: Number Theory

[8] viXra:1606.0154 [pdf] submitted on 2016-06-15 07:31:44

Universal Natural Memory Embedding - 2 (New)

Authors: Ramesh Chandra Bagadi
Comments: 14 Pages.

In this research investigation, the author has presented a theory of ‘The Universal Irreducible Any Field Generating Metric’.
Category: Number Theory

[7] viXra:1606.0144 [pdf] replaced on 2016-06-24 21:17:25

On The Exponential Mangoldt Function

Authors: Anthony J. Browne
Comments: 5 Pages.

A form of the exponential Mangoldt function is derived using indicator functions. The function's relationship to other important number theoretic functions are derived and discussed.
Category: Number Theory

[6] viXra:1606.0136 [pdf] submitted on 2016-06-14 00:55:44

The Universal Any Field Generating Irreducible Metric

Authors: Ramesh Chandra Bagadi
Comments: 13 Pages.

In this research investigation, the author has presented a theory of ‘The Universal Irreducible Any Field Generating Metric’.
Category: Number Theory

[5] viXra:1606.0135 [pdf] submitted on 2016-06-14 00:58:08

The Universal Any Field Generating Metric

Authors: Ramesh Chandra Bagadi
Comments: 13 Pages.

In this research investigation, the author has presented a theory of ‘The Universal Irreducible Any Field Generating Metric’.
Category: Number Theory

[4] viXra:1606.0118 [pdf] replaced on 2016-06-13 05:09:24

The Invariant Identity and Proof of the FLT and Beal Conjecture. (Elementary Aspect)

Authors: Reuven Tint
Comments: 12 Pages. Original written Russian

Let us prove that invariant identity is used for the proof of the FLT and Beal conjecture.
Category: Number Theory

[3] viXra:1606.0109 [pdf] replaced on 2021-05-18 18:55:16

Using Periodic Functions to Determine Primes Composites and Factors

Authors: William Blickos
Comments: 22 Pages.

This paper discusses connections between periodic functions and primes, composites, and factors. Specifically, it shows how to use periodic functions to construct formulas for the following: the number of factors of a number, the specific factors of a number, the exact prime counting function and distribution, the nth prime, primes of any size, ”product polynomials” as periodic functions, primality and composite tests, prime gap finders, and ”anti-pulses.”
Category: Number Theory

[2] viXra:1606.0088 [pdf] submitted on 2016-06-09 13:43:39

Necessary Conditions for Any Number to be Expressed as Difference of 4th Powers of 2 Natural Numbers

Authors: Hitesh Jain
Comments: 4 Pages.

To find out necessary conditions for any number to be expressed as difference of 4th powers of 2 natural numbers and maximum number of ways.
Category: Number Theory

[1] viXra:1606.0065 [pdf] replaced on 2019-01-14 13:58:46

The Real Parts of the Nontrivial Riemann Zeta Function Zeros

Authors: Igor Turkanov
Comments: 20 Pages.

This theorem is based on holomorphy of studied functions and the fact that near a singularity point the real part of some rational function can take an arbitrary preassigned value.
Category: Number Theory