# Pedro Hugo García PeláezUniversidad Internacional de La Rioja | UNIR · UNIR Research

Pedro Hugo García Peláez

Bachelor of Science

## About

57

Publications

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## Publications

Publications (57)

Formula that returns prime numbers of the form (m)*(n)+1
how many prime numbers between 1 and 1000000
I used a polynomyal that it´s roots are the golden ratio squared and the golden ratio conjugate.
When I aply fractional exponents to the x the polinomyal it´s roots returns lucas and fibonacci numbers exactly. And when I derivate this function I...

Analityc and algebraical properties of Fibonacci numbers.

A small advance in the proof of infinite twin primes

The idea is simple we add 1 unit or subtract 1 unit to the Fibonacci number with a prime index, depending if the index number of the prime is odd or even. And this number have as factor the index of the Fibonacci number.

The idea is simple we substract 1 unit to the Lucas number with a prime index and this number have as factor the number of the index.

It´s not proved but the evidence seems that the division between
(Lucas(x) – 1 )/x It´s only an integer when (x) is prime.

These sequences could explain the order of prime number

An easy way to find a divisor of Fibonacci numbers. And maybe other numbers in the golden ratio proportion.

More accurate prime counting function than Li

Resonancia y mecánica de fluidos en el cuerpo humano Pedro Hugo García Peláez Reservados todos los derechos. No se permite la reproducción total o parcial de esta obra, ni su incorporación a un sistema informático, ni su transmisión en cualquier forma o por cualquier medio (electrónico, mecánico, fotocopia, grabación u otros) sin autorización previ...

The weighting of Prime(2x) respect to Prime(x) and prime(4x) is not totally random and follows trends similar to the stocks of the stock markets.

Formula for the sum of all primes between two numbers

High precision formula to find the number of primes in an interval.

Efficient formula to find the primorial in an interval of the form [a,2a] also it can be used as primality test.

Función que nos devuelve el enésimo numero de Fibonacci y Lucas

Formula for the next prime that is more precise for higher numbers.

We can find the primorial in an interval (approximately), if we know the number of primes in that interval, for bigger numbers the precision is more accurate.

Amazing relation between prime numbers and natural numbers. Finding the number of primes in an interval.

El padre de Morad, lleva a su hijo a un centro de desintoxicación para curarle de sus adicciones.

We can obtain prime numbers finished with the digits that we want. And also we can use the formula as primality test

Demonstration of the primality test and the easy factorization with factorials

Formula that returns a number whose prime factors are all prime numbers bounded between two numbers and obviously it can be used as primality test

Spanish radio interview
https://www.youtube.com/watch?v=VaBio7fF2TM

The gaps of prime numbers in the infinity have an easy relation

Tratando de comprender el comportamiento de los números primos.

Algorithm to solve non linear congruence equations.

:This is the faster method I know to solve this type of congruences.

I think it´s an easy and not complicated form to test if a number is prime.

The formula transform prime numbers and not prime numbers with repeated digits in prime numbers with the same structure.
Prime numbers are like the women taking care of their aesthetics.

The circumferences let us know if one number is prime or not..

Algorithm that find the two largest primes whose sum is the number we are checking.

Algorithm that could help to factorize composite numbers.

El Dr. Marco quiere crear un método infalible para la bolsa. Esta es su historia.

We can find primes of the form prime(a)+prime(b)+1=prime(c) and prime(b)-prime(a)-1=prime (c) With the help of the Sophie Germain primes.

We can determinate if one number is prime with the modulo operation.

We can find infinite prime numbers of the form (p) mod (m) = (n)
Where (p) is a prime number and (m) and (n) are natural numbers.

For every even number (m) we can express (m) as the subtraction of two prime numbers or as the sum of two prime numbers.

We can express all even numbers as sum of two prime numbers with this algorithm.

Conclusions
25th of September of 2020
We can find two primes with any difference in units between them just under of a number given. Because that number given depends of the order of the derivative and the separation between both primes. ((Order of the derivative*separation between the prime numbers)/2)-1
Better with an example
If we want to se...

This is an algorithm that test if one number is prime and if the number it´s not prime returns the biggest factor of that number.------------------
PHGP - could you explain in your formula why the exponent (4/4) is not just 1? and why you write (4/2347...) later on? the notation is not well explained
also, why the 8th derivative some places and th...

We cand find all prime numbers in steps of any length.

We can find infinite prime numbers with the separation we want and we can express every even number as the sum of two prime numbers.

Function whose roots are a combination of Fibonacci and Lucas numbers.

Un changement étiat nécessaire... et il est arrivé.
Omar réalise qu'il faut passer outre les années quatre-vingt.
Noah inspire une idée à Omar afin de régénrer la société.
Ce qui suit, est une autre histoire.

Things needed to change...and they did.
Omar realizes that the 80s have to be left behind.
Noah gives Omar the idea of how to regenerate society.
What follows is another story.

Times change, love stories are not forever. A romantic crime novel in which love and drama intertwine.

Adelgaza desde el primer instante día nadando de diez a veinte minutos. Un método innovador para adelgazar sin dietas y sin mucho esfuerzo. Conseguirás eliminar la grasa del abdomen para siempre. Al principio deberás hacer el ejercicio dos o tres veces por semana. Luego con un abdomen recto sólo tendrás que preocuparte de estar en forma.

The best book for losing weight without dieting. Do not let them fool you. 90% of weight loss books are a con or are based on pointless diets. This is a scientific method that works perfectly, that has been calibrated over years and approved by different committees of doctors in physics. This is the only book that applies the laws of physics to wei...

## Questions

Questions (19)

We can find the natural numbers in a line, but prime numbers live in a function in the plane. They have the same properties of natural numbers like distances or congruences but to find that properties we must use the derivative of certain funcions in the plane to find it. The curvature of that function show us the properties of prime numbers. But also prime numbers have a intimate relation with natural numbers, in my latest investigations I saw that you can build a prime number from a composite number inserting that composite number in the function in the plane and converting that composite into, a prime increasing the order of the derivative. And also there a relation between the product of prime numbers and the line of natural numbers that result in the number of prime numbers that exist in an interval of natural numbers.

I want to share this conjecture with you.

The product of the prime numbers in an interval (a,b) where a/b<=2 is the combination of all integers under (a) taken b at a time without repetition divided by the permutation of all integers under b

Here is the prepint

And here it´s the endorse code

Thank you very much.

Hugo

## Projects

Projects (29)

Congratulations⚘Project followers reached 389💯💯💯
BIOSCIENCES AND BIOTECHNOLOGY PROJECT allows various researches share and exchange technology, knowledge, and information in the fields of biology. Some of the few areas includes Cell biology, Developmental biology, Structural biology, Microbiology, Molecular biology, Biochemistry, Biotechnology, Food Science, Medicinal Plants, Ethnobotany, Marine biology, Virology, Bioinformatics, Evolutionary biology, Plant Sciences, Plant breeding, Nematology, Agriculture Science and Agronomy.