2018 Team #8
Source:
January 18, 2023
2018 Team
Problem Statement
A marathon runner has a very peculiar way of training for a marathon. On the first day of week , the runner runs a distance equivalent to the first prime number. On the second day, the runner runs a distance equal to the second prime number, continuing this pattern until the th day of the week. Each successive week, the runner runs one more mile per day than they did on the same day of the previous week. The runner continues this process until the average distance run each week exceeds the distance of a marathon ( miles). How many weeks does the marathoner train?