Springtime for Sudoku

Here's where you can play La PrimeAvera by Kothornos: app.crackingthecryptic.com/kg...
Normal sudoku rules apply. Along the indicated diagonal, digits do not repeat. Black dots indicate that cells are in a 2:1 ratio. Numbers outside the grid indicate the sum of the cells in the direction of the arrow. In cages, the number in the top left denotes the sum of the cells in that cage. Digits cannot repeat in cages. A given cage can only contain prime numbers, or it can only contain non-prime numbers. For instance, a single cage can contain 2,3,7, since they are all prime, but it cannot contain 1,2,3,7 since 1 is not prime but 2,3,7 are prime.
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Hi! We're Simon Anthony and Mark Goodliffe, two of the UK's most enthusiastic puzzle solvers. We have both represented the UK at the World Sudoku Championships and the World Puzzle Championships. We're also "cryptic crossword" aficionados. Mark is the twelve-time winner of The Times crossword championship and twice Senior World Champion in Sudoku, and Simon is the former record holder for most consecutive correct solutions to The Listener crossword. We hope we can help your puzzle solving while also introducing you to some of the world's best puzzles.
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▶ Contents ◀
0:00 Theme Music & News around the channel
2:00 Rules of today’s puzzle
3:30 Start Of Solve - Let's Get Cracking!

[@steve470]

29:21 for me. Easier way to determine the disposition of the last two 14 cages: If the cage in box 6 contained 1, 4, and 9, then there would only be two cells available for those three digits in row 6.

[@geoff544]

1,4,9 I think you mean - but yes, that was the step for me, at 17:10 in the video, as soon as I got the primes on the diagonal in box 5.

[@steve470]

@@geoff544 Yep, typo. I've apparently been doing too many modular-line sudokus. 😅

[@RomanPer]

It seems to me that 29 diagonal clues was sufficient, there was no need for the 40 clue

[@Numberplay]

agrees, I solved the puzzle without using the 40 clue once.

[@stumbling]

I concur. I didn't need it either.

[@awebmate]

Mark didn't use it in his solve either.

[@przemekmajewski1]

I also have solved the puzzle using the 29 clue only! The 40 clue is redundant

[@laurentsalomonoriginals3438]

Agreed

[@raysouth1952]

Found it tough but enjoyable. Winced a little watching Mark struggle with the yellow/purple choices in boxes 2 and 6. Box 4 determined that very quickly. Like others, I found that the 40 diagonal wasn’t needed.

[@chocolateboy300]

I finished in 86 minutes. Coloring really helped with this puzzle. I was able to do the beginning really quick, but the middle I struggled on and even made a mistake by falsely claiming that a 48 pair must be in box 5's kropki. After that mistake, I was able to finish by proving that box 6 cage must always be purple. I, then, got stuck not knowing what to do before remembering that little killers existed. Great Puzzle!

[@jameskarran5330]

once coloured it took ages nibbling away with sudoku and more colouring at the little killer options until it unravelled. Fun but tricky

[@RecreationalCynic]

Solved it in 34:04. I would have done it sooner, but I made a terrible mistake and had to undo most of my work (forgot a prime number could go on a black dot). Also, like some others, I didn't need to use the 40 diagonal. I loved, though, the logic to figure out the type of digits for r2c8 and for the 14 cage in Box 2. For the 14 cage in box 2, I first figured out the type of numbers in the Box 6 14 cage by realizing if it was 1+4+9, there would be a triple x-wing of 1, 4, and 9 between boxes 4 and 6, placing 1, 4, and 9 in the bottom row of Box 5, which r6c4 could be none of. Thus that cage was 2+5+7 and after a few 3's are placed, all the primes in rows 5 and 6 are accounted for. Then, if the Box 2 14 cage was 2+5+7, there wouldn't be enough spaces in c4 to place 2, 5, and 7 (the only two spots are r6c4 and r9c4, the others are all non-prime or in the same box as the cage).

[@praematura]

Needed one small hint shortly after the beginning from Mark's solve, but was able to complete the puzzle in 36:30 (conflict checker off). The coloring definitely helped. Very cool puzzle from Kothornos, many thanks to them!

[@Rach881101]

44:44 for me. Nice puzzle!

[@emilywilliams3237]

I love these puzzles that have interesting math features. This seems as if I could possibly solve it, but I don't know, a 40 minute video from you usually signals something beyond my ability. Maybe I'll just watch ... yes, that is a good idea. I'll just watch and enjoy. Thanks, Mark, as always.

[@kwilson5832]

Emily, Why don't you have a go at solving it, then when you get stuck, watch a bit of the video until you get some more hints about how to continue. Then do a bit more on your own, watch a bit more of the video etc. That's what I started doing and I've made good progress that I can use for each new puzzle. Go on! You'll be really pleased with yourself when you eventually solve a puzzle that you had previously thought would be beyond your ability. I know that I was (and still am!).

[@emilywilliams3237]

I might do that, actually, it’s a good approach and I have used it before. I’m traveling at the moment, so I have less time available, but I might come back to this one when I’m home.

[@inspiringsand123]

Rules: 02:03 Let's Get Cracking: 03:27 Mark's time: 38m35s Puzzle Solved: 42:02 What about this video's Top Tier Simarkisms?! The Secret: 1x (04:05) And how about this video's Simarkisms?! Ah: 6x (03:54, 06:12, 13:45, 20:00, 29:05, 35:09) By Sudoku: 4x (15:57, 23:25, 34:00, 35:36) Surely: 4x (33:46, 33:46, 34:06, 41:08) Sorry: 3x (12:13, 18:02, 19:37) Clever: 3x (17:03, 27:29, 42:05) Obviously: 3x (05:04, 19:33, 40:23) Brilliant: 2x (01:05, 01:26) Weird: 2x (16:59, 18:43) Goodness: 1x (35:30) The Answer is: 1x (15:03) Missing Something: 1x (09:42) First Digit: 1x (07:56) Going Mad: 1x (10:43) Hang On: 1x (12:53) Puzzling: 1x (20:00) Wow: 1x (15:10) Pencil Mark/mark: 1x (10:43) Most popular number(>9), digit and colour this video: Fourteen (16 mentions) One (70 mentions) Purple (84 mentions) Antithesis Battles: Even (2) - Odd (0) Black (16) - White (1) Column (18) - Row (15) FAQ: Q1: You missed something! A1: That could very well be the case! Human speech can be hard to understand for computers like me! Point out the ones that I missed and maybe I'll learn! Q2: Can you do this for another channel? A2: I've been thinking about that and wrote some code to make that possible. Let me know which channel you think would be a good fit!

[@anaayoung9142]

I forgot to comment yestarday... sorry! Great puzzle. You did colour the prime numbers, and this was great, helped me a lot. But I still used one or two more hints from your solve! Thanks 🎉

[@piarittersporn]

Wonderful puzzle.

[@tessabrisac7423]

The cothurnes were the shoes used by actors of greek tragedy, something between boots and sandals.

[@alienrenders]

23:19 for me. Nice puzzle.

[@alienrenders]

The correct way to determine the 14 cages is that 149 can't go in the 14 cage in box 6 because then 149 would need to go on the bottom row of box 5 and one of those cells is already purple.

[@Kirbyfan87827]

I tried doing this on my own at first. Using a killer calculator I was able to pencil mark all but two of the cages, and even those two were each narrowed down to two possibilities. This let me put two digits in box 7, and I was able to deduce two 14 cages couldn't both be 1-4-9 (and place a 1 in the 11 cage) through trial and error, but that's where I got stuck and had to resort to following along with the video. Ultimately finished in 47:37. A fun puzzle until I got stuck.

[@gibbbon]

i get so tunnel vision sometimes, i got completely stuck, so i started watching the video until around 34min in and i'm reminded of the MF clues outside the grid! completely forgot those existed!

[@Gonzalo_Garcia_]

15:05 for me. Nice puzzle!

[@MattYDdraig]

21:05 Wasted a little time at the start before realising it broke down to a colouring puzzle, then smoothly flowed to completion. Really liked the restriction as a novel adaptation of cages.

[@NicholasLayton]

Did I do something wrong? I solved it without ever using the 40 little killer clue. Maybe I could have used it instead of the 29, but I used the 29 and solved the puzzle without using the 40. Did i do something wrong and made a correct mistake somewhere?

[@titusadduxas]

1:22:33 - I got most of it done but just couldn’t find a way to disambiguate about half way through. In the end I zigged instead of zagging.

[@yeah-lf1mk]

if box 6 is 149, 149 has to go to box 5 bottom role which is not possible, so box 6 is 257 and box 2 is 149

[@Peter-ih2tn]

The title of this vid is a ref to The Producers

[@bobbie0976]

Hmmm, for some reason I didn’t end up needing the 40 clue?!

[@futurefox128]

Was looking for this comment. Same here. I was expecting it to disambiguate some deadly pattern at the end, but that just didn't happen. The puzzle filled itself in without ever needing it. And I don't think we just got "lucky" ;)

[@stumbling]

54:16 for me (0.71x Mark Speed)

[@Wjanabdjd138]

I will never accept 1 not being prime

[@Pritchie45]

70 minutes

[@theredstoneengineer6934]

34:17 for me

[@tonybrooms]

00:49:24

[@RoderickEtheria]

I don't think the 40 Little Killer is actually necessary.

[@myfyrmadocjones]

… and Germany?

[@zoicon5]

Logic Masters Germany, that is.

[@TurquoizeGoldscraper]

37:54 for me.

[@MarkBennet10001]

@25 minutes - an not having solved it myself - screaming ... 4 in column 4 and row 6 ...

[@awebmate]

Screaming without having earned your popcorn.. smh.. ;D

[@MarushiaDark316]

For those wondering, a "non-prime" is called a "composite" number because it's composed of multiple primes.

[@GraemeMcRae]

Except 1 is not composite

[@David_K_Booth]

@@GraemeMcRae Fair point - "non-primes" are either composites or units.

[@jkid1134]

OP is right for natural numbers 2 and up. ​@@David_K_Boothis right for natural numbers 1 and up. Good enough to cover the digits in the sudoku. But (*math intensifies*) there's another addendum coming for 0, and then another for 1/2, and then another for pi, and another for i... Basically, "non-prime" is not some term you should work out of your vocabulary. It's the domain minus the set of primes in the domain, that is to say Primes + Non-Primes = Everything Relevant, and that's a powerful relationship.

[@letMeSayThatInIrish]

@@David_K_Booth or zero 😄

[@aikiseppuku]

@@jkid1134 Q,R and C don't have any primes. Don't you think the relation X + everything which is not X = Everything is a little trivial and not powerful at all?

[@_-_-Sipita-_-_]

23:25 4 me.