Millennium prize is given to mathematicians who solve seven most difficult problems in mathematics listed by The Clay Mathematics Institute of Cambridge, Massachusetts (CMI). Mathematician who solves any of these 7 problems will get 1 million dollar prize. The seven Millennium Prize Problems were chosen by the founding Scientific Advisory Board of CMI and were announced at a meeting held in Paris in 2000.  Millenium prize once again attracted worldwide attention after Indian engineer Vinay Deolalikar came out with research paper on most difficult computer science problem, P and NP. Click here to read his research paper on P is not equal to NP.  Vinay Deolalikar is an Indian citizen born in New Delhi and is now a Principal Research Scientist at HP labs. He completed Masters in Electrical Engineering at the IIT, Mumbai and done Ph.D in USA.   7 unsolved Mathematical problems:   1. Yang-Mills and Mass Gap: On elementary particles and mass gap  2. Riemann Hypothesis: On prime numbers  3. Poincaré Conjecture (1904): On three dimensional spheres. This problem was solved by Grigory Perelman. But, he turned down the prize money (4.5 crore rupees).  4. P vs NP Problem: The speed at which a computer can accomplish a task. Indian mathematician Vinay Deolalikar (HP engineer) submitted his solution problem. It is waiting for approval. According to him, P is not equal to NP. Stephen Cook and Leonid Levin formulated the P (i.e., easy to find) versus NP (i.e., easy to check) problem independently in 1971.  5. Navier-Stokes Equation: Unsolved problem for more than 100 years.  6. Hodge Conjecture: On algebraic cycles  7. … [Read more...]