Golf Tournament Math Puzzle

Four friends, Annie, Bonnie, Connie and Donnie, just played four rounds of a golf tournament. Their scores were all tied, even though the individual scores for the 16 rounds were all different.

The 16 scores were all in the 60s and 70s.

All four of Annie's scores were a prime.

All four of Bonnie's scores were semiprimes (the product of two primes).

None of Connie's or Donnie's scores was either prime or semiprime.

Connie's lowest round was better (lower) Donnie's lowest round. Connie's worst round was better than Donnie's worst round.

What was the score of each of the golfers for the four rounds?

Adapted from Richard England in New Scientist

Click to find the answer to this math puzzle.