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Bolivian scientist might have found the solution to the world's greatest problem in mathematics!



A glimpse of the Riemann Hypothesis. Courtesy of Quanta Magazine

His name is Beimar Wilfredo López Subia (27 years old), a Civil Engineering student at the San Francisco Xavier de Chuquisaca University. He managed to solve a famous hypothesis that has made thousands of mathematicians in the world sleepless. He worked for three years on the formula. His work consists of a mechanism to find the prime numbers in a simple way, according to an interview of the Journal of Latin American Sciences and Culture.


The formula is sought worldwide, since the distribution of prime numbers is linked to the Riemann hypothesis, one of the 7 problems of the millennium. His challenge was related to confirming the famous Riemann hypothesis, the world's greatest problem in contemporary mathematics. Riemann was a German mathematician who made very important contributions to analytic and differential geometry, Riemann mentioned this hypothesis in 1859 as part of his doctoral thesis on prime numbers less than a given magnitude. In this framework he developed an explicit formula to calculate the number of prime numbers less than x. However, as it was not essential to the central purpose of his article, therefore he did not attempt to prove the formula. Thus, the problem remained open for more than 150 years.


Explanation of Beimar's findings:


After three years of research, Beimar realized that using the Eit(x) function he could get exact results; it was then that the study of him was facilitated. “The Eit (x) function is the key to formula accuracy and it is ease to use. This function is new and important”, he emphasizes and says that “in mathematics everything is possible”.


It was precisely that constancy and his blind faith in mathematics that led him to decipher prime numbers in an orderly way on an inclined plane in 3D, until he finally found the formula in 2017. As his endorsement, he assures that important mathematicians from Bolivia verified the veracity of his formula. Among them Humberto Mamani, a graduate in Mathematics, who was his teacher; and Rimer Zurita, doctor in Mathematics and professor at the Universidad Mayor de San Simón (UMSS).


Added to this as a merit of his achievement, the Universidad Mayor de San Francisco Xavier (UMSFX) of Chuquisaca awarded him an honor diploma for the development of the research project; and the scientific article was published in 2020, being the only one in the area of mathematics.


The contribution of the formula


As detailed by Beimar, the formula finds the quantity of prime numbers smaller than a given number, in a totally exact way; being the only formula in the world that can find this quantity exactly, using simple mathematics. In the words of the mathematicians, “the formula does not use factorials and large numbers, it only uses the function Eit(x), which is unpublished, but simple. And that's not all, the discovered formula can verify if a number is prime or composite, being able to find the sequence of prime numbers without skipping any prime number ”.


With this formula, a large number can be factored easily, which was previously impossible. This can facilitate mathematics in its entirety, it can guarantee more security in cryptography and as a result of it it would be possible to discover new mathematics.


The formula can find the quantity of prime numbers smaller than a number x, knowing only the number or it can find that quantity between two numbers exactly; the scope is infinite, that means it has no limit.


According to Beimar, it has been verified up to 10 raised to 25 (10,000,000,000,000,000,000,000,000) however, it has been shown to work for any number; and best of all, it is accurate.


Stay tuned to read more about this important discovery for mathematical community!


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