Diophantine Equations: Fermat

The video discusses Pierre de Fermat, a mathematician known for his work in abstract mathematics. Fermat famously claimed to have a proof for a theorem that could not fit in the margin of a book. This theorem, known as Fermat's Last Theorem, states that no three positive integers a, b, and c can satisfy the equation a^n + b^n = c^n for any integer value of n greater than 2. Despite being a simple equation, it remained unproven for over 350 years. In 1995, Andrew Wiles successfully proved the theorem, marking a significant achievement in mathematics.

What was Pierre de Fermat's hobby?

• Astronomy

• Music composition

• Painting

• Abstract mathematics

What does Fermat's Last Theorem state about whole number solutions?

• They exist for all powers greater than two.

• They exist only for powers of two.

• They exist for powers less than two.

• They do not exist for powers greater than two.

Which equation is an example of a whole number solution for squared numbers?

• 2^2 + 3^2 = 4^2

• 3^2 + 4^2 = 5^2

• 4^2 + 5^2 = 6^2

• 5^2 + 6^2 = 7^2

In what year was Fermat's Last Theorem finally proven?

• 2000

• 1995

• 1990

• 1985

Who successfully proved Fermat's Last Theorem?

• Andrew Wiles

• Carl Gauss

• Leonhard Euler

• Isaac Newton