The Subprimes Fiasco
(Eingestellt am 21. März 2023, 09:11 Uhr von Farkov)
Rules:
Normal sudoku rules apply.
Digits along a thermometer must increase from the bulb end (R9C5 is on a thermometer).
Every row and column consists of 4 2-digit and 1 1-digit numbers. If these numbers are greater than 50 they must be prime, if they are less than 50 they must not be prime.
All cells that contain a 1-digit number are highlighted with a square.
It is up to you to ascertain whether a 1-digit square is being used for the row or the column (or both).
Disambiguities:
1 is not a prime number.
Some rows/columns have more than one possible 1-digit square. For example take the row 619732845. This has two legal combinations: 61, 97, 32, 8, 45; and 61, 9, 73, 28, 45. In this case both 8 and 9 may be highlighted as 1-digit cells.
Feedback always appreciated. Good luck :)
F-puzzles link.
Hints:
I'm not usually a "mark all possibilities" kinda guy, but in this puzzle I find it helps a lot.
If you know your 12 times tables (which is what I was taught in school) then the only unusual number you need to know outside of that is 91 (13*7).
A handy rule for checking to see if something is a multiple of 3 is to add the digits together and then check to see if the result is a mulitple of 3. For example 57 = 5+7=12. And 12 is a multiple of 3. (Or add 1+2 together as well to get 3, hehe).
Lösungscode: Row 5, column 5.
Kommentare
am 27. August 2023, 10:07 Uhr von Bankey
Abandoned this on two earlier attempts, but got thru the third time! Brutal, but amazing puzzle. Thanks, @ Farkov :).
am 18. April 2023, 12:46 Uhr von bodemeister
Taking another look at the puzzle and want to make sure numbers must be read from left to right in rows and from top to bottom in columns.
@bodemeister Yes, 100%.
am 27. März 2023, 23:23 Uhr von Bonehead
That was rock hard but absolutely brilliantly conceived. Thanks to me mixing up a vertical/horizontal single early on it took me 3 hours to find the mistake and re-do, but I got there. More folk deserve to try this.
@Bonehead I feel you might be a bit more intelligent than your average bonehead. Congrats on the solve and thanks for your kind words :)
am 23. März 2023, 13:06 Uhr von Farkov
I fixed the example given. Thank you bodemeister :)
am 23. März 2023, 09:15 Uhr von bodemeister
This looks like a fun puzzle! Just to clarify, in your example should the first combination end with 46 and 38? Also in your example would 25 97 1 46 38 be a legal combination?
@bodemeister Very well spotted. Thank you very much, I will fix that now. How did I ever manage to mess up the *example*? :)
am 21. März 2023, 14:28 Uhr von StefanSch
Absolute impressiv and amazing! I can't imagine, how to construct such a puzzle.
@StefanSch Thanks for giving it a go Stefan. Glad you liked it :)
am 21. März 2023, 09:11 Uhr von Farkov
After solving the Aad van de Wetering puzzle featuring 2-digit primes on CTC yesterday I was reminded that I'd been saving this puzzle up for a special occasion. I guess Tuesday is as special an occasion as any.
