Become a member of the channel and get a Pre-Calculus course with 22 video lessons: / @matsimplificada In this video we try to explain to you, in simple terms, what the Riemann Hypothesis is and what would happen if it were solved. This is one of the most famous open problems in mathematics, from the moment it was conceived until the most recent controversy, and this problem is possibly the next in line to be solved. SUBSCRIBE to our CHANNEL and get FREE classes on mathematics, from basic to advanced. The Riemann Hypothesis involves a mathematical object common to the basic years of education: prime numbers, those that can only be divided by 1 and by themselves. The sequence of prime numbers {2,3,5,7,11,13,17,19,23...} has always intrigued mathematicians, as there seems to be no logic capable of determining the first prime number after a specific digit. Determining whether a number is prime has been a problem since ancient Greece, and the best-known method for solving it is the so-called Sieve of Eratosthenes, created in 240 BC. However, the larger the prime number, the more computationally unfeasible this old method becomes. If someone could establish a formula that said how many prime numbers there are up to a certain digit, it would revolutionize cryptography, impacting everything from the security of computer systems to even some theories about the origin of the universe. The German mathematician Georg Bernhard Riemann (1826-1866) proposed a formula that described the distribution of prime numbers. This formula became known as the Riemann Hypothesis and has already been correctly tested for the first one billion and five hundred thousand prime numbers. But as we know, in the world of mathematics, a rigorous demonstration is needed for this hypothesis to be proven for all prime numbers. The chaotic behavior of prime numbers has been associated with physical systems governed by chaos theory, and this is one of the many attempts to prove the Riemann Hypothesis. In August 2002, three Indian researchers from the Kanpur Institute achieved a result that may help solve this problem: they discovered a simple and direct method to tell whether a number is prime, without saying what the divisors are if the number is not prime. A method that generated an even simpler computer program, written at the time with only thirteen lines of code. Fast forward to 2018, and we see Michael Atiyah announcing that he had managed to find the formula that predicts the next prime number within a series of digits. This problem seems to be the next in line to be solved. _______________________________ BOOKS SUGGESTED IN THE VIDEO: The Music of Prime Numbers, by Marcus du Sautoy BOOK LINK: https://amzn.to/3cyVtnv ____________________________________ LINK TO THE ARTICLE ON THE SITE: Millennium Problems The 7 Math Problems for the 21st Century - https://matematicasimplificada.com/pr... ___________________________________ WATCH THE FULL VIDEO: Millennium Problems The 7 Math Problems for the 21st Century that are worth $1,000,000.00 each! • Millennium Problems The 7 Problems... ___________________________ SUPPORT US BY MAKING A PIX OF ANY AMOUNT: Pix Key: 06713646697 _________________________________________ PROFESSIONAL CONTACT / PARTNERSHIPS Do you want to see your exercise solved here? Leave a comment or contact us using the methods available below: Website Contact Area: https://matematicasimplificada.com/co... If you prefer, contact me by email: [email protected] _________________________________________ Visit our WEBSITE: https://matematicasimplificada.com/ Follow Our INSTAGRAM: / mat_simplificada FACEBOOK Page: / sitematematicasimplificada FACEBOOK Group: / 985027172334223 _________________________________________ PROFESSOR'S PRESENTATION: Marcelo Lopes Vieira is from Minas Gerais and has a degree in Mathematics (2008) and a master's degree in Mathematics (2011) from the Federal University of Uberlândia. He is currently an assistant professor at the Faculty of Mathematics of the Federal University of Uberlândia. With an interest in Applied and Computational Mathematics, especially in topics related to nonlinear phenomena. He served as a supervising professor for the Junior Scientific Initiation Program of OBMEP from 2013 to 2016. He also taught the Minicourse “Financial Mathematics and the use of HP-12C”, Grupo Ativa, Uberlândia (2008); Professor in the Improvement Program for High School Mathematics Teachers, within the FNDCT/FINEP-PAPMEM Project in July 2009 and January 2010.