Top 08 most un-solved math problems

By -

Several famous unsolved math problems have puzzled mathematicians for many years. Some of the most well-known unsolved math problems include:

  1. The Riemann Hypothesis: Proposed by Bernhard Riemann in 1859, this conjecture relates to the distribution of prime numbers and suggests that all non-trivial zeros of the Riemann zeta function have a real part of 1/2. Despite extensive computational evidence supporting the conjecture, it remains unproven.

  2. The Birch and Swinnerton-Dyer Conjecture: Proposed in 1965, this conjecture relates to elliptic curves and their associated L-functions. It suggests that there is a deep connection between the number of rational points on an elliptic curve and the behavior of its L-function at a certain point. This conjecture remains open, and its resolution would have significant implications for number theory.

  3. The Navier-Stokes Existence and Smoothness: This problem involves the mathematical description of the motion of fluid flows and asks whether smooth solutions to the Navier-Stokes equations, which govern the behavior of fluids, exist for all time. This problem remains unsolved in the general case, and the existence of smooth solutions for all time is a major open question in partial differential equations.

  4. The Collatz Conjecture: Proposed in 1937, this conjecture states that for any positive integer, repeatedly applying two simple arithmetic operations (dividing by 2 if even, or multiplying by 3 and adding 1 if odd) will eventually lead to the number 1. Despite extensive computational evidence, this conjecture remains unproven.

  5. The Goldbach Conjecture: Proposed by Christian Goldbach in 1742, this conjecture suggests that every even integer greater than 2 can be expressed as the sum of two prime numbers. Although it has been verified for many numbers, a general proof has not been found.

  6. The P vs NP Problem: This problem is one of the most famous open problems in computer science and mathematics. It asks whether certain computational problems that can be quickly verified (in polynomial time) can also be quickly solved (in polynomial time). This problem has important implications for fields such as cryptography and complexity theory, and its resolution remains unknown.

  7. The Twin Prime Conjecture: Proposed in ancient times and popularized by mathematician Alphonse de Polignac in the 19th century, this conjecture suggests that there are infinitely many pairs of twin primes (i.e., primes that differ by 2, such as 3 and 5, or 11 and 13). Despite extensive computational evidence, this conjecture remains unproven.

  8. The Yang-Mills Existence and Mass Gap: This problem is related to quantum field theory and asks whether there exist quantum field theories that describe the behavior of fundamental particles, such as quarks and gluons, with certain properties. In particular, it asks whether these theories exhibit a phenomenon called the "mass gap." This problem remains unsolved, and its resolution would have significant implications for our understanding of the fundamental forces of nature.

These are just a few examples of unsolved math problems, and there are many other fascinating and challenging problems that mathematicians continue to work on today.

Comments

Post a Comment

Popular Posts

World’s Largest Single Rooftop solar power plant in India

By -
Image
Solar panels installed on the roof with a capacity of 11.5 MW in Punjab state in India India’s solar mission which has kept at a target of 175 GW and the government is trying to keep its word to generate power from all kinds of Renewable Energy Resources. As it is focused on Solar, Wind and Biomass power generation technologies. We all know that a roof is the zero cost of land and uses the space for solar panel installation. There is no requirement of a special setup is installing the solar roof. Depending upon the roof size and shading and direction of the sunlight is considered for setting up the solar panels. But, most of them have small or medium roofs that can generate in kiloWatts (kW) or Megawatt (MW) scale. In Amritsar, there is an installation od 11.5 MW capacity of a solar power plant which is completely covered with solar roof which will benefit 8000 households was built by Radha Saomi Satsang Beas (RSSB), a religious organization in Punjab. Badal along with New and Re
Read more

Recycle Marts development in urban and rural areas

By -
Image
In most of the western countries and developing countries are launching the new concept called the “ Recycling Malls ” in major cities and towns across their countries. The main objective of the recycle mart is to sell the used products (ex: used plastic, glass, paper, etc.). This is an innovative way of making things and helping in reducing environmental pollution in the surroundings across the globe.   There are different kinds of pollutions that are generated effecting Air, Water, Land, Food, Sea, Ocean pollutions. It is damaging the EARTH gradually and impacting directly and indirectly that are highly toxic and increase the scope of new harmful viruses etc.   Issue: Wastes are different types that are generated in the world which is mostly produced by man. Anything that is produced excess and unable to control is added into pollutant list. The recycling plants are getting adopted across the globe with different techniques, methodologies and Strategic ways in collection
Read more

Honda can be the Indian EV Market giant comparing to OEMs

By -
Image
Honda is one of the popular brands in the Indian automobile industry. with the Activa petrol scooter with multiple versions, the company is come up with an electric version which Indian consumers are awaiting for the same. Apart from their plans to launch the electric vehicle in the Indian market, some of the key points are strong enough for Honda can capture a great EV market share in the country. Kinetic Honda is the predecessor for Honda Activa which was a big hit in 90s.  Year wise Activa Models released by Honda:  2001,  2002,  2007,  2008,  2009,  2018,  2019,  2020,  2021 Some of the key advantages for Honda can be a great EV market giant compared with startups and OEMs due to the following: Charging facilities in service stations: As Honda has 334+ service stations [1] across various states in India, the majority of them are bigger compared to other two-wheeler service stations. So a large charging infrastructure network and facility can be developed which can provide easy ac
Read more

Solar Cell efficiency with new polymer devices

By -
Image
India is witnessing a new chapter in the growth of the renewable sector, mainly in the solar sector. Hence, any new breakthrough in the field of solar cells and solar power generation is beneficial for India. New technology is being developed in the University of Chicago within the confines of its chemistry laboratory by Professor “Luping Yu”. A new kind of solar panel was designed and manufactured which has a higher efficiency when compared with the currently running modules used for power generation. The given polymer solar cell consists of a new polymer, called "PID2". The new polymer improves the efficiency of electrical power generation by 15 per cent when added to a standard polymer-fullerene mixture. New light has been shed on solar power generation using devices made with polymers. Researchers identified a new polymer a type of large molecule that forms plastics and other familiar materials which improved the efficiency of solar cells. The group also determined th
Read more

Achieving 175 GW RE Target by INDIA With Extended 450 GW BY 2030 Ambitious Target

By -
Image
The Indian government has kept a target of 175 GW installed capacity using different renewable energy technologies in the country. Currently, the total installed capacity of the country is 367.3 GW of which thermal is 230.72 GW , Nuclear is 6.78 GW , Hydro is 45.4 GW and RE is 84.4 GW as on 31.12.2019. For the month of December 2019 the electricity generated in different power segments is 86.1 BU in thermal, 3.6 BU in Nuclear, 8.9 BU in Hydro and 9.3 BU in RE [1] . Currently, the total renewable installed capacity is 57.472 GW ( 12.5 GW of solar i.e., 21.8% and 32.3 GW of wind i.e., 56.2% ).  Depending upon the current installation frequency, we can forecast whether we can reach the target by 2022 or 2030 . MNRE is exploring with new innovative approach for increasing the capacity of renewable energy in the country and promoting them for the same. [2] Benefits with 175 GW RE target   Reduces the carbon footprints in the country and promotes renewable energy technologies;
Read more