24. In this year of 2017, my family is in its prime: I am 7, my brother is 5, my mother is 29 and my father is 31. All of our ages are prime numbers.
What is my father’s age the next year that my family is in its prime, when all of our ages are again prime?
1 8 22 22 43 43 43
What is the smallest n for which 2017 is in the sequence of centred n-gon numbers?
29. A friend and I play a game. We each start with two coins. We take it in turns to toss a coin; if it comes down heads, we keep it, if tails, we give it to the other. I always go first, and the game ends when one of us wins by having all four coins.