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Final Scores at the PrimeBowl (Posted on 2007-11-28) Difficulty: 3 of 5
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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Comments: ( Back to comment list | You must be logged in to post comments.)
re(3): and just part 3 (and part 4). -- same scores, different ways, other alternates | Comment 8 of 10 |
(In reply to re(2): and just part 3 (and part 4). -- same scores, different ways, other alternates by Dej Mar)

I'll have to look for the bug that caused the wrong calculation of the spare's contribution to the second of the two strikes.  I can't find it now on a cursory examination. I'll see if I can debug.

But for part 2 I had posted:

Part 2. 192:

5 2  3 3  3 3  2 2  5 3  3 3  3 3  2 2  3 3  3 3
  7   13   19   23   31   37   43   47   53   59


 
Alternate of part 2 -- trying for highest score:

5 2  3 7  2 2  5 3  3 7  2 2  3 3  5 3  3 3  3 7  2
  7   19   23   31   43   47   53   61   67   79

I don't see anywhere I treated 0 as prime.


  Posted by Charlie on 2007-11-28 22:21:10
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