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Jaap Scherphuis
Jaap Scherphuis
  • 54k
  • 7
  • 124
  • 216

Here is my solution:

All 16 cells are primes: 

 Moves          Result
 117 51 50 30   173 223 179 101
 5   5  48 21   127 139 131 103
 0   30 7  4    59  79  107 83
 24  37 18 51   61  109 113 73

How I found this:

First I used light chasing to fill the top 3 rows with primes. That is to say, I did some nice large number of moves on the top row cells, and then on each subsequent row I did some mostly arbitrary moves to make the row above show distinct primes. The last row then contains numbers that are not necessarily prime or distinct.

 Moves          Result
 90 70 50 30    173 223 179 101
 13 13 29 21    127 139 131 103
 11 14 18 23    59  79  107 83
 21 23 23 21    55  81  85  67

To turn the bottom row into primes I added on the following patterns (the first pattern was added 3 times, the second pattern was added 14 times):

 Moves             Result
 -5  3  0  0    0  0  0  0
  2  2 -3  0    0  0  0  0
  1 -4  1  3    0  0  0  0
  1  0  3 -4    2  0  0  2

  3 -2    0  0    0  0  0  0
 -1 -1  2   0    0  0  0  0
 -1  2 -1 -2    0  0  0  0
   0  1 -1  3    0  2  2  0

These two patterns were found by pressing one button on the top row, and then using light chasing (allowing negative moves) to make the top three rows zero and see what the effect is on the bottom row. Linear combinations of these were then constructed to make them change only two of the bottom row numbers.

No doubt smaller solutions are possible. I started out using too few moves on the top row, and kept running into problems of duplicate primes, or negative numbers of moves. I then used a fairly large number of top row moves and hit upon this solution.

Here is my solution:

All 16 cells are primes: 

 Moves          Result
 117 51 50 30   173 223 179 101
 5   5  48 21   127 139 131 103
 0   30 7  4    59  79  107 83
 24  37 18 51   61  109 113 73

How I found this:

First I used light chasing to fill the top 3 rows with primes. That is to say, I did some nice large number of moves on the top row cells, and then on each subsequent row I did some mostly arbitrary moves to make the row above show distinct primes. The last row then contains numbers that are not necessarily prime or distinct.

 Moves          Result
 90 70 50 30    173 223 179 101
 13 13 29 21    127 139 131 103
 11 14 18 23    59  79  107 83
 21 23 23 21    55  81  85  67

To turn the bottom row into primes I added on the following patterns (the first pattern was added 3 times, the second pattern was added 14 times):

 Moves             Result
 -5  3  0  0    0  0  0  0
  2  2 -3  0    0  0  0  0
  1 -4  1  3    0  0  0  0
  1  0  3 -4    2  0  0  2

  3 -2          0  0  0  0
 -1 -1  2       0  0  0  0
 -1  2 -1 -2    0  0  0  0
     1 -1  3    0  2  2  0

These two patterns were found by pressing one button on the top row, and then using light chasing (allowing negative moves) to make the top three rows zero and see what the effect is on the bottom row. Linear combinations of these were then constructed to make them change only two of the bottom row numbers.

No doubt smaller solutions are possible. I started out using too few moves on the top row, and kept running into problems of duplicate primes, or negative numbers of moves. I then used a fairly large number of top row moves and hit upon this solution.

Here is my solution:

All 16 cells are primes: 

 Moves          Result
 117 51 50 30   173 223 179 101
 5   5  48 21   127 139 131 103
 0   30 7  4    59  79  107 83
 24  37 18 51   61  109 113 73

How I found this:

First I used light chasing to fill the top 3 rows with primes. That is to say, I did some nice large number of moves on the top row cells, and then on each subsequent row I did some mostly arbitrary moves to make the row above show distinct primes. The last row then contains numbers that are not necessarily prime or distinct.

 Moves          Result
 90 70 50 30    173 223 179 101
 13 13 29 21    127 139 131 103
 11 14 18 23    59  79  107 83
 21 23 23 21    55  81  85  67

To turn the bottom row into primes I added on the following patterns (the first pattern was added 3 times, the second pattern was added 14 times):

 Moves             Result
 -5  3  0  0    0  0  0  0
  2  2 -3  0    0  0  0  0
  1 -4  1  3    0  0  0  0
  1  0  3 -4    2  0  0  2

  3 -2  0  0    0  0  0  0
 -1 -1  2  0    0  0  0  0
 -1  2 -1 -2    0  0  0  0
  0  1 -1  3    0  2  2  0

These two patterns were found by pressing one button on the top row, and then using light chasing (allowing negative moves) to make the top three rows zero and see what the effect is on the bottom row. Linear combinations of these were then constructed to make them change only two of the bottom row numbers.

No doubt smaller solutions are possible. I started out using too few moves on the top row, and kept running into problems of duplicate primes, or negative numbers of moves. I then used a fairly large number of top row moves and hit upon this solution.

Post Undeleted by Jaap Scherphuis
deleted 7 characters in body
Source Link
Jaap Scherphuis
Jaap Scherphuis
  • 54k
  • 7
  • 124
  • 216

Here is my solution:

All 16 cells are primes: 

 Moves          Result
 91117 6951 50 30    173 223 173179 101
 135 13 24 215  48 21   131127 139 127131 89103
 140 20 19 1430 7  4 61  79 59 97 79 73
 14107 1383
 2024 19 37 18 51 41  6761  71109 113 5373

How I found this:

First I used light chasing to fill the top 3 rows with primes. That is to say, I did some nice large number of moves on the top row cells, and then on each subsequent row I did some mostly arbitrary moves to make the row above show distinct primes. The last row then contains numbers that are not necessarily prime or distinct.

 Moves             Result
 90 70 50 30       173 223 173179 101
 13 13 2329 21       131127 139 127131 89103
 15 20 20 1511 14 18 23    6159  79  97 107 7383
 13 1121 1923 1723 21    55  3981  6385  67  51

To turn the bottom row into primes I added on the following patterns (the first pattern was added once3 times, the second pattern was added twice14 times):

 Moves             Result
 -5  3  0  0    0  0  0  0
  2  2 -3  0    0  0  0  0
  1 -4  1  3    0  0  0  0
  1  0  3 -4    2  0  0  2

  3 -2          0  0  0  0
 -1 -1  2       0  0  0  0
 -1  2 -1 -2    0  0  0  0
     1 -1  3    0  2  2  0

These two patterns were found by pressing one button on the top row, and then using light chasing (allowing negative moves) to make the top three rows zero and see what the effect is on the bottom row. Linear combinations of these were then constructed to make them change only two of the bottom row numbers.

No doubt smaller solutions are possible. I started out using too few moves on the top row, and kept running into problems of duplicate primes, or negative numbers of moves. I then used a fairly large number of top row moves and hit upon this solution.

Here is my solution:

All 16 cells are primes: 

 Moves          Result
 91 69 50 30    173 223 173 101
 13 13 24 21    131 139 127 89
 14 20 19 14    61  79  97  73
 14 13 20 19    41  67  71  53

How I found this:

First I used light chasing to fill the top 3 rows with primes. That is to say, I did some nice large number of moves on the top row cells, and then on each subsequent row I did some mostly arbitrary moves to make the row above show distinct primes. The last row then contains numbers that are not necessarily prime or distinct.

 Moves             Result
 90 70 50 30       173 223 173 101
 13 13 23 21       131 139 127 89
 15 20 20 15       61  79  97  73
 13 11 19 17       39  63  67  51

To turn the bottom row into primes I added on the following patterns (the first pattern was added once, the second pattern was added twice):

 Moves             Result
 -5  3  0  0    0  0  0  0
  2  2 -3  0    0  0  0  0
  1 -4  1  3    0  0  0  0
  1  0  3 -4    2  0  0  2

  3 -2          0  0  0  0
 -1 -1  2       0  0  0  0
 -1  2 -1 -2    0  0  0  0
     1 -1  3    0  2  2  0

These two patterns were found by pressing one button on the top row, and then using light chasing (allowing negative moves) to make the top three rows zero and see what the effect is on the bottom row. Linear combinations of these were then constructed to make them change only two of the bottom row numbers.

No doubt smaller solutions are possible. I started out using too few moves on the top row, and kept running into problems of duplicate primes, or negative numbers of moves. I then used a fairly large number of top row moves and hit upon this solution.

Here is my solution:

All 16 cells are primes: 

 Moves          Result
 117 51 50 30   173 223 179 101
 5   5  48 21   127 139 131 103
 0   30 7  4    59  79  107 83
 24  37 18 51   61  109 113 73

How I found this:

First I used light chasing to fill the top 3 rows with primes. That is to say, I did some nice large number of moves on the top row cells, and then on each subsequent row I did some mostly arbitrary moves to make the row above show distinct primes. The last row then contains numbers that are not necessarily prime or distinct.

 Moves          Result
 90 70 50 30    173 223 179 101
 13 13 29 21    127 139 131 103
 11 14 18 23    59  79  107 83
 21 23 23 21    55  81  85  67

To turn the bottom row into primes I added on the following patterns (the first pattern was added 3 times, the second pattern was added 14 times):

 Moves             Result
 -5  3  0  0    0  0  0  0
  2  2 -3  0    0  0  0  0
  1 -4  1  3    0  0  0  0
  1  0  3 -4    2  0  0  2

  3 -2          0  0  0  0
 -1 -1  2       0  0  0  0
 -1  2 -1 -2    0  0  0  0
     1 -1  3    0  2  2  0

These two patterns were found by pressing one button on the top row, and then using light chasing (allowing negative moves) to make the top three rows zero and see what the effect is on the bottom row. Linear combinations of these were then constructed to make them change only two of the bottom row numbers.

No doubt smaller solutions are possible. I started out using too few moves on the top row, and kept running into problems of duplicate primes, or negative numbers of moves. I then used a fairly large number of top row moves and hit upon this solution.

Post Deleted by Jaap Scherphuis
Source Link
Jaap Scherphuis
Jaap Scherphuis
  • 54k
  • 7
  • 124
  • 216

Here is my solution:

All 16 cells are primes: 

 Moves          Result
 91 69 50 30    173 223 173 101
 13 13 24 21    131 139 127 89
 14 20 19 14    61  79  97  73
 14 13 20 19    41  67  71  53

How I found this:

First I used light chasing to fill the top 3 rows with primes. That is to say, I did some nice large number of moves on the top row cells, and then on each subsequent row I did some mostly arbitrary moves to make the row above show distinct primes. The last row then contains numbers that are not necessarily prime or distinct.

 Moves             Result
 90 70 50 30       173 223 173 101
 13 13 23 21       131 139 127 89
 15 20 20 15       61  79  97  73
 13 11 19 17       39  63  67  51

To turn the bottom row into primes I added on the following patterns (the first pattern was added once, the second pattern was added twice):

 Moves             Result
 -5  3  0  0    0  0  0  0
  2  2 -3  0    0  0  0  0
  1 -4  1  3    0  0  0  0
  1  0  3 -4    2  0  0  2

  3 -2          0  0  0  0
 -1 -1  2       0  0  0  0
 -1  2 -1 -2    0  0  0  0
     1 -1  3    0  2  2  0

These two patterns were found by pressing one button on the top row, and then using light chasing (allowing negative moves) to make the top three rows zero and see what the effect is on the bottom row. Linear combinations of these were then constructed to make them change only two of the bottom row numbers.

No doubt smaller solutions are possible. I started out using too few moves on the top row, and kept running into problems of duplicate primes, or negative numbers of moves. I then used a fairly large number of top row moves and hit upon this solution.