29.03.2025, 02:02
(Dieser Beitrag wurde zuletzt bearbeitet: 29.03.2025, 03:11 von TheGreatGoatsbie.
Bearbeitungsgrund: Made images easily visible
)
Hi all, Bokke here,
I have made only two puzzles, which were reasonably well received, one was even featured on ctc! But I'm stuck with the next puzzle that is a bit too complex in its essence. I'm looking for some tips with regards to simplifying a rule set and adding a finishing rule that makes the break in a bit more accessible. I'm not too sure if this is the right place to ask for help.
Let me start at the beginning: I noticed that in all prime numbers between 0 and 100, the digits 1, 3 and 7 appear 9 times. This was my starting point.
As if now, I have the primary ruleset as follows:
"Classic sudoku rules apply. Place all prime numbers between 0 and 100 on the diagonals. Double digit primes are read from top to bottom. Prime numbers containing one or more prime digits (pcn)may not touch each other orthogonally. The other prime numbers made up from non-prime numbers (npcn), can touch all other prime digits. Prime numbers made up out of two identical digits have ignored all the rules and lost each other. (The prime numbers between 0-100: 2/3/5/7/11/13/17/19/23/29/31/37/41/43/47/53/59/61/67/71/73/79/83/89/97 )"
This fits quite nicely since there are 16+4 pcn's making up a total of 36 digits. (13/17/23/29/31/37/43/47/53/59/67/71/73/79/83/97+ 2/3/5/7)
That allows the solver to deduce on which diagonals the prime contain, with a little bit of set theory (since the entire sets of 3's and 7's need to fit in there). I'm not sure what you would call these diagonals together,I have marked the boxes where the pcn's are forced to reside grey:![[Bild: attachment.php?aid=649]](https://forum.logic-masters.de/attachment.php?aid=649)
There is one problem with this setup, and that is the prime number 11. This number gets broken up, that is why I have named the puzzle "A Prime Example of the Loneliest Number".
This is the expected solution, which was quite a puzzle in itself:
![[Bild: attachment.php?aid=651]](https://forum.logic-masters.de/attachment.php?aid=651)
![[Bild: attachment.php?aid=652]](https://forum.logic-masters.de/attachment.php?aid=652)
I have tried several options for a break in, for example using x/v clues or kropki dots. But everytime the break in is either far too complex or far too easy.
I have marked the even digits, not as a prime clue, but because I think using some way to infer that those numbers are even, allows you to instantly infer that all other greyed out cells are odd.
I am open to suggestions of how to tackle the break in, and subsequently placing the 7s and 3s. After that one could deduce how the pairs are oriented.
Would you guys say that this is far too laborious of a concept to make a good puzzle with? Having the digits 1, 3 and 7 appear nine times is just so perfect!
For people who want to play with the set up a little, here's a link for editing the sudoku. Just click mode to change to editor.
Ps: I have never posted here so let me know if this post is either inappropriate, or misplaced!
I have made only two puzzles, which were reasonably well received, one was even featured on ctc! But I'm stuck with the next puzzle that is a bit too complex in its essence. I'm looking for some tips with regards to simplifying a rule set and adding a finishing rule that makes the break in a bit more accessible. I'm not too sure if this is the right place to ask for help.
Let me start at the beginning: I noticed that in all prime numbers between 0 and 100, the digits 1, 3 and 7 appear 9 times. This was my starting point.
As if now, I have the primary ruleset as follows:
"Classic sudoku rules apply. Place all prime numbers between 0 and 100 on the diagonals. Double digit primes are read from top to bottom. Prime numbers containing one or more prime digits (pcn)may not touch each other orthogonally. The other prime numbers made up from non-prime numbers (npcn), can touch all other prime digits. Prime numbers made up out of two identical digits have ignored all the rules and lost each other. (The prime numbers between 0-100: 2/3/5/7/11/13/17/19/23/29/31/37/41/43/47/53/59/61/67/71/73/79/83/89/97 )"
This fits quite nicely since there are 16+4 pcn's making up a total of 36 digits. (13/17/23/29/31/37/43/47/53/59/67/71/73/79/83/97+ 2/3/5/7)
That allows the solver to deduce on which diagonals the prime contain, with a little bit of set theory (since the entire sets of 3's and 7's need to fit in there). I'm not sure what you would call these diagonals together,I have marked the boxes where the pcn's are forced to reside grey:
There is one problem with this setup, and that is the prime number 11. This number gets broken up, that is why I have named the puzzle "A Prime Example of the Loneliest Number".
This is the expected solution, which was quite a puzzle in itself:
I have tried several options for a break in, for example using x/v clues or kropki dots. But everytime the break in is either far too complex or far too easy.
I have marked the even digits, not as a prime clue, but because I think using some way to infer that those numbers are even, allows you to instantly infer that all other greyed out cells are odd.
I am open to suggestions of how to tackle the break in, and subsequently placing the 7s and 3s. After that one could deduce how the pairs are oriented.
Would you guys say that this is far too laborious of a concept to make a good puzzle with? Having the digits 1, 3 and 7 appear nine times is just so perfect!
For people who want to play with the set up a little, here's a link for editing the sudoku. Just click mode to change to editor.
Ps: I have never posted here so let me know if this post is either inappropriate, or misplaced!
