perplexus.info :: Games : Final Scores at the PrimeBowl

Final Scores at the PrimeBowl (Posted on 2007-11-28)

1. What is the highest score you can obtain in a standard game of bowling if your cumulative score in each of the ten frames is required to be a prime number?

2. What is the lowest score you can obtain in a standard game of bowling if your cumulative score in each of the ten frames is required to be a prime number and for each throw you knock down a prime number of pins?

The next two questions refer to 3-6-9 bowling. The difference in 3-6-9 bowling and the standard game is the 3rd, 6th and 9th frame already have strikes recorded.

3. What is the highest score you can obtain in a game of 3-6-9 bowling if your cumulative score in each of the ten frames is required to be a prime number?

4. What is the lowest score you can obtain if your cumulative score in each of the ten frames is required to be a prime number and for each throw (excluding the pre-recorded throws) you knock down a prime number of pins?

The first score sheet represents Games #1 and #2.
The second is for use with Games #3 and #4.

1	2	3	4	5	6	7	8	9	10



1	2	3	4	5	6	7	8	9	10
		X			X			X

One Scoring reference is here should you need one.

See The Solution Submitted by Dej Mar

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re: and just part 3 (and part 4). -- same scores, different ways, other alternates

| Comment 6 of 10 |

(In reply to and just part 3 (and part 4). by Leming)

There are various ways of getting either of these. Here are some more:

Part 3. 211:
  
9 1  1 9  x    x    2 8  x    x    2 8  x    x    x x  
 11   31   53   71   91  113  131  151  181  211

But with the benefit of those strikes, the low score is higher than 2:

Alternate of part 3 -- trying for lowest:

0 2  4 1  x    0 0  2 0  x    0 0  2 0  x    0 0
  2    7   17   17   19   29   29   31   41   41
  
Finally:  
  
Part 4. 97:

5 2  2 2  x    5 3  2 2  x    5 3  2 2  x    5 3
  7   11   29   37   41   59   67   71   89   97
  
Alternate of part 4 -- trying for highest:

3 2  3 7  x    3 3  3 3  x    2 2  3 7  x    3 3   
  5   25   41   47   53   67   71   91  107  113

Posted by Charlie on 2007-11-28 15:57:49

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