Hanging the million prize 'dollars' for the decade problem

A banker in the US will give a million dollars to the successful winner of a problem that mathematicians have not found an answer since the 1980s.

On June 4, the American Mathematical Association (AMS) announced it would award a million dollars for the solution of the Beal Hypothesis (a problem of number theory), reported by Business Standards.

Artwork: blogspot.com.

D. Andrew Beal - a banker in Texas, USA - made the first Beal Prize in 1997. The initial number was $ 5,000 and it increased over time.

AMS spokesman Michael Breen said that the solution would be more complicated than a similar problem - the big Fermat Theorem problem. Mathematicians have been "hand in hand" with it for several hundred years.

Both the Beal Hypothesis and the Fermat Theorem are great examples of many statements in number theory: it's easy to say, but extremely difficult to prove.

Beal is the bank director and also a self-taught mathematician and the founder of the Beal Prize. With the publication of the award, he wanted to inspire young people in pursuing mathematics and science.

A committee appointed by AMS will award the person who finds the solution of the Beal Hypothesis or refutes it. AMS keeps the bonus until they find the person who solved it.

The Beal hypothesis is as follows:

For a, b, c, x, y, z are positive integers and x, y, z are greater than 2, the only solution of the equation:

A ^x + B ^y = C ^z

is the set of numbers a, b, c having other common divisors 1. For example: 3 ^{3 +} 6 ³ = 3 ⁵ , the base numbers have a common divisor of 3.

The more general Beal hypothesis than the big Fermat Theorem:

It is impossible to find 3 positive integers a, b, c which satisfy the equation A ^x + B ^x = C ^x with x being a positive integer greater than 2.