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Sunday Times Teaser 3104 – Prime Football

by BRG on March 19, 2022

by Edmund Marshall

Published Sunday March 20 2022 (link)

There are more than 13 clubs in the Prime Football League, and each club plays each other twice during the football season, gaining three points for winning a match, and one point for a draw.

At the end of last season, it was observed that the final numbers of points gained by the clubs were all different double-digit prime numbers. During the season our local club, Wessex Wanderers, won just three times as many matches as they lost. If you knew how many clubs were in the league, you could work out the final points total of Wessex Wanderers.

How many clubs are in the league, and what was the final points total of Wessex Wanderers?

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2 Comments Leave one →
  1. Brian Gladman permalink

    This code produces the teaser’s requested answers but it doesn’t show that there is a complete set of games that can produce this result.

    Here is a version with such a check.

  2. John Z permalink

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