Modern complex mathematics is not a piece of cake unless you are the next Albert Einstein. Even though we have some of the most influential and intelligent mathematicians, there are plenty of problems that remain unsolved. One of the problems as highlighted by Scott Aaronson, a theoretical computer scientist, at a lecture at Los Alamos National Lab, New Mexico.
One of the major unsolved mathematical equations is called P vs NP problem where the P stands for the number of problems a computer can solve while the NP is called Nondeterministic Polynomial-time or the time it takes to solve any problem which increases in polynomial time. According to the problem, it is yet to be proved that is P=NP or if it is not equal and whomsoever could solve it, will be able to steak almost $200 billion stashed in bitcoin which is also one of the most expensive and popular cryptocurrencies around the globe.
The P vs NP problem is one of the seven Millennium Prize Problems where solving any of ‘em will land you a bounty of $1 million each and that is $7 million for all seven problems, however, note that if it was so easy to solve, it would have been solved way earlier.
Coming back to the problem, it states that a computer solves ‘P’ problem when it is running which includes any normal calculations too difficult, complex tasks such as rendering a game or browsing the web, etc. The problem states that as the difficulty of the problem increases, the time it takes to solve that problem increases in polynomial time which is denoted by an example i.e. n2.
To simply it, if the input is increased by two times, the output i.e. the time it takes to resolve the problems increases by four times i.e. n2 where n is 2 which gives us the answer ‘4’. Foss Bytes states that solving this problem could allow anyone to break into the vault consisting of $200 billion in bitcoin while also winning the bounties on Millenium Prize Problems awarded by the Clay Mathematics Institute in Cambridge.
Gizmodo further adds that the problem is unsolved and requires either approval or disapproval in order to solve it. The report also states that bitcoin mining that I mentioned above is hard-to-solve, easy-to-check NP problems which is why you could win the multibillion-dollar bounty in case if you crack it open.