P is for prime
(Published on 12. May 2024, 19:07 by ChaosIsInevitable)
1.Normal sudoku rules apply
2.The number 1 is considered a prime number in this puzzle
3.The numbers on the red line that are next to each other, must differ by at least 5; additionally, the amount of times a number is shown on the red line must be a prime number. (this only applies for the numbers that actually appear on the line --> e.g. 5 does not appear on the line, so it should not be accounted for)
4.You can't repeat digits in the cages; Additionally, the cages must either:
1)contain only prime numbers or;
2)contain no prime numbers, but sum up to a prime number. either one of these rules is true for any cage, never both. (e.g. 2 and 5 in a 2-cage is not possible since the numbers are prime and it adds up to a prime)
Happy Solving !!!
Solution code: The sum of all cages
Comments
on 21. May 2024, 02:16 by jinkela114514
CTC link:
https://sudokupad.app/42090p64t9
on 14. May 2024, 22:26 by emsou
I don't think I've ever seen the prime cage rule in any other puzzle before. I really enjoy it!
on 13. May 2024, 00:31 by Starlight
Really enjoyed this puzzle. It was just beautiful and flowed so nicely.
Great work
on 12. May 2024, 20:59 by ChaosIsInevitable
@StefanSch No, since the rules state that either both numbers have to be prime, or neither are prime but sum up to a prime
on 12. May 2024, 20:57 by ChaosIsInevitable
Did a final revision of the rules, including 1 as a prime into the ruleset to prevent confusion
on 12. May 2024, 20:45 by StefanSch
Can a 2-cell-cage contains exactly one prime, for instance 2 + 9?
on 12. May 2024, 20:35 by ChaosIsInevitable
To be honest, when I made this puzzle I thought 1 was a prime number, which is a really stupid mistake. I have now edited the rule set and made some things clearer
on 12. May 2024, 20:08 by Nylimb
I'm confused by rule 2. The first part implies that 5 can't be on the red line. The second implies that 5 must occur a prime number of times. But zero isn't prime.
on 12. May 2024, 19:51 by ChaosIsInevitable
Edited the rule spacing and added a link for online solving
