John, I've added a "splitting black note" to explain this technique a more detailed manner -- with examples. Thank you for your question! https://cinquantesignes.blogspot.com/2020/04/cross-my-prime.html?m=1 Best, É.
Le 1 mai 2020 à 17:31, John Aspinall <j@jkmfamily.org> a écrit :
Does "split" include re-ordering? E.g. when presented with the integer 14, can I make the prime 241 by attaching to an existing 2?
On 4/30/20 6:10 AM, Éric Angelini wrote: Hello Math-Fun, have a look here for a clearer idea developed in the hereunder lines: https://bit.ly/2KMrmHM Best, É. --------------- Hello Math-Fun, this game (hope not old hat) is played on a Scrabble board where all squares are white, and no square has any text on it. The starting "star" square, in the center of the grid, has a 7 on it (the number, not the word, as this game is played with digits only that will form numbers – instead of letters forming words).
The single player must now form prime numbers at every turn on the board – at the first turn placing the integer 1, at the second turn placing 2, then 3, then 4, then 5, etc. – this is the natural order of the positive integers as they appear (and because 7 starts the game, the player will jump from 6 to 8. No other jump will be allowed during the game).
Those integers, as in the traditional game of Scrabble, must be attached to the existing structure at least by a digit (one digit per square).
All visible numbers, before and after any turn, must be prime: they are read horizontally from left to right or vertically from top to bottom (again, like words in a traditional Scrabble game).
Can one split the digits of a term bigger than 9 – say 10 or 11 ? Yes, as long as the split digits stay on the same line, forming one or more prime numbers within the existing structure.
Example here:
We start the game with 7 on the star:
....................7....................
then comes 1 and we form the prime 71;
....................71....................
then comes 2 and we form the prime 271;
...................271....................
then comes 3 and we form the prime 3271;
..................3271....................
then comes 4 and we form the prime 43271;
.................43271....................
then comes 5 and we form the prime 53 (5 on top of 3 on the grid);
..................5....................... .................43271....................
(etc.) Best, É.
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