Prime Corners Sudoku
(Published on 6. December 2020, 20:01 by steelwool)
Standard Sudoku rules apply, and killer cages do not have repeat digits.
There are nine 3x3 boxes on the board, numbered 1 to 9 in reading order.
Every box has ONE diagonal that is of interest, with at least ONE prime in a corner of that diagonal.
Prime numbered boxes have a prime number in the centre that is the sum of two primes in the corners of a diagonal.
Even numbered boxes have digits in the corners of a diagonal, with a sum in the centre that is a power of a prime (p^x, where x>=1).
The first box has corner digits in a diagonal with a non-prime sum in the centre.
The last box has a digit in the centre that is the difference of the digits in a diagonal.
Solve the puzzle online at f-puzzles
Solution code: Enter the digits from row 6 followed by the digits from column 6
Comments
on 9. December 2020, 21:08 by peterkp
Does box 2 follow the rules for even numbered or prime numbered boxes?
Both. The prime number condition is a stronger (more constrained) condition. It is not contradicted by the even number condition. Both of the two corners are one of 2357 and the sum is one of 2357.
Note that every box has at least one prime on the diagonal of interest.
on 8. December 2020, 10:39 by SirWoezel
Ah, ok. Making an error in a solution code is something I've done pretty often myself too. I'll remove my other comments as they're of no value any more.
Hi, Thanks for hounding me!
on 8. December 2020, 10:04 by steelwool
OMG - double crazy sorry, changed the solution code to 'the right one' again. Hope I got it this time!
on 7. December 2020, 18:19 by Tilberg
The rule about the even cages sounds confusing. What does "have digits in the corners" mean?
In all cages we are only concerned with one diagonal - the two digits in one of the diagonal corners, plus the digit in the middle. In the case of Even boxes one of the corners will be one of 2357 and the centre will be one of 2345789.
