Is the Cantor set uncountable but still a null set under Lebesgue measure?The standard ternary Cantor set $\mathcal{C}$ is defined as $$\mathcal{C} = \bigcap_{n=0}^{\infty} C_n,$$1343Measure Theory
For which primes p does x³ + y³ = p z³ admit non-trivial integer solutions?Consider the Diophantine equation $$x^3 + y^3 = p z^3,$$1411Number Theory