A Fun Number Theory Problem
We solve the following problem: Starting at 2, with 2 litres of fuel, travel along the number line, using 1 litre of fuel per unit travelled. As you pass each prime p, collect p litres of fuel. How far can you go? 00:00 Stating the problem 01:12 Hint 01:49 Restating the problem more precisely 05:18 Solving the problem
We solve the following problem: Starting at 2, with 2 litres of fuel, travel along the number line, using 1 litre of fuel per unit travelled. As you pass each prime p, collect p litres of fuel. How far can you go? 00:00 Stating the problem 01:12 Hint 01:49 Restating the problem more precisely 05:18 Solving the problem