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Pierre de Fermat Trivia Questions

How much do you really know about Pierre de Fermat? Below are 8 true or false statements. Click each one to reveal the answer and explanation.

1.

Fermat's so-called 'little theorem' is actually a complex calculus result he never fully understood.

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Easy
✗ FALSE

Fermat's Little Theorem is a number theory result: if p is prime, then a^p ≡ a (mod p). It's elegant, not complex calculus, and he understood it well.

2.

Fermat was a professional mathematician who made his living teaching at a university.

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Easy
✗ FALSE

Fermat was a lawyer and a government official in Toulouse. Mathematics was his hobby, not his job—he never published formally under his name.

3.

Fermat was the first mathematician to discover prime numbers and name them 'primes'.

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Easy
✗ FALSE

Prime numbers were studied by ancient Greeks like Euclid. Fermat did work on primes (like Fermat primes), but he didn't discover or name them.

4.

Fermat's principle of least time in optics states that light always takes the fastest path between two points.

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Medium
✓ TRUE

This principle explains refraction and reflection, showing light 'chooses' the path of least time, not shortest distance—a key idea in physics.

5.

Fermat's Last Theorem was actually a marginal note he claimed to have a proof for, but no proof was found for centuries.

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Medium
✓ TRUE

He scribbled it in his copy of Arithmetica, stating he had a 'marvelous proof' but the margin was too small. It took Andrew Wiles 358 years to finally prove it.

6.

Fermat famously bet Pascal that he could solve any math problem faster, leading to the birth of probability theory.

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Medium
✗ FALSE

Fermat and Pascal corresponded about a gambling problem (the 'problem of points'), which founded probability theory—but it wasn't a race or bet between them.

7.

Fermat discovered the method of infinite descent, a powerful proof technique used in number theory.

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Hard
✓ TRUE

He invented this method to prove that no right triangle with integer sides can have an area equal to a perfect square, and later applied it to other problems.

8.

Fermat co-invented analytic geometry independently of Descartes, publishing his work earlier.

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Hard
✓ TRUE

Fermat developed his own method for finding tangents and maxima using coordinates before Descartes published La Géométrie, though Descartes got more credit.

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