10. Diophantine Equations II

Selected Classical Problems — Quiz

Test your understanding of selected classical problems with 5 practice questions.

Practice Questions

Question 1

Which ordered triple is a Pythagorean triple?

Question 2

A right triangle has legs of length $6$ and $8$. What is the length of the hypotenuse?

Question 3

Which formula gives the standard parametrization of a primitive Pythagorean triple?

Question 4

Which prime can be written as a sum of two squares?

Question 5

Which prime cannot be written as a sum of two squares?