A Mathematical Miracle
(Published yesterday, 09:15 by Sudokujoker)
This is my attempt at a blank grid sudoku. Enjoy :)
Normal sudoku rules apply: place the digits 1-9 once each in every row, column and 3x3 box.
Cells within a chess king's or chess knight's move may not contain the same digit. Orthogonally adjacent digits may not be consecutive.
Two prime numbers, X and Y, can be added together to give another prime number, Z.
X is the digit in Row X, Column X, and also is in position X inside box Y.
Y is the digit in Row Y, Column Y, and also is in position Y inside box X.
To clarify, positions are read from left to right and top to bottom in usual western reading order.
Sudokupad link: https://sudokupad.app/f9i96469hi
Solution code: Row 9
Comments
today, 11:36 by Rollo
Very nice, solved with a little bit of coloring ;-).
today, 00:36 by Dr Logic
Interesting puzzle
yesterday, 23:49 by itsid
now.. finally got around actually giving it a shot; what a beautiful puzzle!
it is about the easiest miracle sudoku I solved in the last few days,
and -to me- it is certainly the most beautiful so far.
[sometimes the low hanging fruit is the sweetest]
Thanks for setting!
yesterday, 22:35 by Ol-Jay
Was this supposed to be a coloring sudoku..? Because I solved it without.. XD Lovely puzzle, thanks for setting!
yesterday, 22:33 by Vaurien
Beautiful puzzle! I sometimes forget how powerful the anti-king + anti-knight constraint is, and while it took me a bit to get the first set of digits in the puzzle, the more I did get the faster it filled in. ????
yesterday, 22:08 by drbs
Nice, the universe sang again.
yesterday, 20:52 by Fisherman
I think the rules are sufficient.
yesterday, 19:43 by itsid
*cough* w/o having the puzzle started yet, much less solved... I have to disagree with Lithum-Ion.
all primes in a sudoku cell are single digit.
two of which form a third...
One of those is blatantly obvious, and say we call that X
So again w/o having started I can place a digit.
in RxCx ... knowing that alone (and the rules of miracle sudoku) reveals the ONLY possible Y
And yes, I know X and Y without even starting the puzzle, and without a doubt. (tt0126765)
and with that 4 digits down without opening the link
yesterday, 18:00 by Frankster
Excellent puzzle
yesterday, 14:47 by boggles
fun! had to draw on a few different sudoku skills, but nothing too challenging. great stuff
yesterday, 14:11 by Lithium-Ion
Nice idea! However, I do not understand how this can be rated as one star difficulty since you need huge amounts of coloring. Moreover, the rules should be changed to clarify that the property holds not for all prime numbers X and Y whose sum is a prime, but only for one X and Y.
yesterday, 14:11 by Lithium-Ion
Nice idea! However, I do not understand how this can be rated as one star difficulty since you need huge amounts of coloring. Moreover, the rules should be changed to clarify that the property holds not for all prime numbers X and Y whose sum is a prime, but only for one X and Y.
yesterday, 12:22 by superkinkel
It's incredible how powerful the combination of the constraints is. The coloring is actually very easy. Figuring out the prime constellation was actually the hardest part. I had the possible candidates immediately, but excluding the impossible took me longer than it should have.
yesterday, 10:37 by phono
Very nice puzzle! Took me a little to figure out the prime constellation – and the rest flows nicely with the restrictions. Coloring helps a lot. Thank you!
