Bill's hypothesis has risen in price to $ 1 million

The American Mathematical Society on Tuesday announced a reward increase to $ 1 million for proving Beale's hypothesis or for finding a counterexample.

Hypothesis

If a

Where - natural and then have a common prime divider.

That is, if you pick up such numbers so that A, B, C does not have a common prime divider, then you will earn a million dollars.

American banker, billionaire and math lover Andrew Beal put forward his hypothesis in 1993. Everyone can hypothesize, but in 1997 the banker managed to stir up the interest of the mathematical community, announcing a reward for its proof or counterexample. The award was $ 5,000. Since then, Bill has increased his remuneration several times, and now it has grown to $ 1 million .
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The trick is that the proof of the Beal conjecture means that the Great Fermat theorem can be proved by contradiction. And over such an elegant proof of the Great Fermat theorem, mathematics have been fighting since 1637. The author himself said that it is. At the same time, the proof of 1995 on 107 pages cannot be called elegant, and in the 17th century it could not be formulated in principle.

You can concentrate on finding a counter-example for the Bill hypothesis. To date, the values ​​of all six variables up to 1000 are checked. That is, in a successful counter-example, at least one variable must exceed 1000.