Sunday Times Teaser 3041 – The Best Game Played In 1966
by Stephen Hogg
Published Sunday January 03 2021 (link)
For Christmas 1966 I got 200 Montini building blocks; a World Cup Subbuteo set; and a Johnny Seven multi-gun. I built a battleship on the “Wembley pitch” using every block, then launched seven missiles at it from the gun. The best game ever!
Each missile blasted a different prime number of blocks off the “pitch” (fewer than remained). After each shot, in order, the number of blocks left on the “pitch” was: a prime; a square; a cube; a square greater than 1 times a prime; a cube greater than 1 times a prime; none of the aforementioned; and a prime.
The above would still be valid if the numbers blasted off by the sixth and seventh shots were swapped.
How many blocks remained on the “pitch” after the seventh shot?