A Sudoku With Only Four Prime Numbers
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- čas přidán 30. 07. 2022
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** Today's Sudoku **
Not only is this a beautiful looking sudoku but it's a brilliant puzzle too. It's called Four Primes by James Kopp and you don't want to miss this one. It's slightly magical that this solves so cleanly! You can play the puzzle at the link below:
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Rules:
Normal sudoku rules apply. The digits on lines of the same colour sum to the same total. The four different totals are prime numbers. Digits may repeat on a line if allowed by other rules. Cells separated by a black dot contain digits in a 1:2 ratio (ie one digit is double the other). Not all possible black dots are shown.
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A glorious Simon moment at 39:03:
he has 7 digits in column 6. How does he get what's in the last 2 cells? Using an x-wing, of course.
Is highly likely a Simon thing using a flamethrower to kill an ant.
Not only that, the 8th digit had an unresolved pair. He only had to fill the 9th digit.
Which Simon perfectly summed up at 39:32 - "But, you know me".
this was a really really well made puzzle. it had a cool idea, and that combined with it giving perfect amount of information to guide you along without giving away everything made it even better.
What is really fantastic is the seemingly infinite variery of rules, always ending in thrilling puzzles. But truly this one is a gem 🤩
Hey simon
I am a minecraft (puzzle) map maker, and you inspired me to add sudoku puzzles to my map
First i added a 16x16 sudoku with the 16 main colours of glass (not including non coloured or tinted glass) with 4x4 cells, its relatively easy but still quite tricky
And tomorrow i will add a normal size sudoku with 9 wood types, but have the variant rules of the main diagonals both having all 9 wood types (aka digits) as well as there being a knights move restriction (with a detailed explanation for the sudoku and variant rules of course)
Thanks for the amazing inspiration to fuel my puzzlemaking (and solving) skills, keep up the amazing work simon!
Please share your map when it's finished!!!
I'd like to see the finished result!
22:50 the easier way to get the orange digits outside box 7 is to use the secret. 4 orange lines of 13 add up to 52, 45 of which is in box 7, so there's 7 outside. Since r7c4 has to be a minimum of 5, the only way to make that work is for it to be 5 and the other ones to be 1.
I came here to say this ^^
That's how I did it too.
Yup. That was my breakthru.
Nice puzzle to solve, and it's always an additional pleasure when a setter comes up with something so visually elegant.
31:41 for me. Can't ever remember beating Simon's time on any of these, I feel like I've unlocked a steam achievement. Great puzzle, loved discovering the solve path of how to deduce the primes from each unique bit of extra info per color in otherwise symmetric corners
It took Simon around 34:30 to solve it WITH detailed explanations of each step. I'm sure he would be much faster without them.
@@sharingthings1762 True true. Simon is amazing. But he explains in as much detail in all the videos, and this is still a first for me (in probably over a couple hundred since I've been watching).
Love this channel! It usually takes me 2 to 3 times as long as Mark or Simon to solve a puzzle, but that's ok. The thrill of solving the puzzle is probably the same. Mark and Simon are obviously brilliant.
An ad suddenly burst into song right in the middle of Simon's "the secret" speech. Happiest I've ever been to see an ad.
My daughter (15) and I have been solving your puzzles together for some time now, but I think this is the first time we beat the video time by a significant margin... 31:13. My daughter was lightning-fast at spotting the 8-5 pair in orange (we looked at it as needing 7 in the three orange cells outside box 7, so a max of 5 in any one of those cells), and she also nailed the 2-9 pair in box 5.
There's something comforting about hearing the same explanation of a constraint over and over again.
34:09 A tiny shortcut (like a few seconds), when you realize one of the arrangements puts 3 in r8c9 and 6 in r7c9, you can immediately rule out that possibility since you already have 36 pencil marked in r1c9...
I absolutely loved this puzzle when I solved it. The moments of revelation are wonderful.
Thanks again to James Kopp. Now to watch Simon clobber my time.
Shows how good a solver you are Bremster! You matched Simons time. You solved in a very similar way.
Hello @crackingthecryptic, Steve here from the birthday shout out at the start of the video. Thanks to my brother for the marvelous present - we discovered during that trip he mentioned that we had both independently become CtC fans, and shared some fun puzzling together with family.
Notes:
- I have taken to asking for birthday babka rather than cake, and this year's was a delightful mix of cinnamon and orange.
- I spent the better part of 5 hours on the puzzle, with making and eating dinner and some emails getting in the way. I had to inch the solve along up to 33:24 before I could break through and do the rest on my own [with help from Jessie].
Still loving the channel after all this time, and hope that nothing keeps us from solving sudoku until we all reach 100 years proud.
The secret of life, the universe and everything, is... *(Simon jumps in by saying)* 45!
I like how the puzzle starts with the green lines in the middle and they are the last digits placed.
This was a very nice Sunday afternoon watch for me. The puzzle was very interesting. I like things that have to do with prime numbers and other mathematical oddities (such as the digits of pi featured recently, last March, I'm guessing). The fact that this was lines ONLY and a few dots was really nice. Loved the puzzle, James Kopp. Simon, your solve was really fun to watch. I loved how you made your way around the grid, starting with the central box and realizing that it must be telling us that the green lines were 11, then going on to the other colors. I am so pleased with myself that I have learned so much from this channel to have recognized that green line total and the gray line without watching the video. But I realized that I would have so much more enjoyment from watching you than from trying to solve it myself from that point, so I gave the video my full attention. I felt as if you must have been reading the P section in the dictionary this afternoon, as well, because today's three (or maybe four?) wonderful vocabulary words all began with that letter: plethora, panoply, pontification, and maybe potent - I may have heard that word, but there was a bit of noise where I was just at the moment that you may have said that word. In any case "potent" is a word that you like, so I am going to say that, in addition to four Primes, we had four Ps today. Thank you for such a great video.
I finished in 37:47 minutes. This puzzle had a great ruleset and construction that fit it perfectly. I really like this idea and the logic flowed so well from it. Great Puzzle!
Rules: 03:51
Puzzle Solved: 40:31
What about this video's Top Tier Simarkisms?!
The Secret: 6x (06:10, 06:15, 06:17, 06:19, 06:33, 26:43)
Cooking with Gas: 1x (34:21)
And how about this video's Simarkisms?!
Ah: 14x (11:22, 13:35, 15:39, 15:39, 17:05, 19:34, 21:13, 23:59, 24:00, 30:26, 30:28, 35:54, 37:19, 38:05)
By Sudoku: 10x (12:53, 19:03, 23:17, 23:25, 24:37, 27:43, 27:47, 27:57, 36:23, 36:25)
Lovely: 8x (17:15, 17:40, 26:17, 26:17, 38:05, 39:44, 40:30, 40:33)
Hang On: 5x (30:37, 33:19, 33:19, 33:19, 37:19)
Obviously: 5x (01:05, 02:31, 05:03, 10:59, 16:07)
Wow: 5x (20:02, 25:54, 34:33, 36:32, 41:01)
Sorry: 3x (03:56, 21:42, 33:04)
Clever: 3x (30:45, 33:10, 40:39)
Horrible Feeling: 3x (24:20, 29:00, 30:52)
Beautiful: 3x (00:17, 35:08, 40:30)
Going Mad: 2x (24:55, 25:04)
Shouting: 2x (00:56, 24:34)
Approachable: 2x (02:06, 02:42)
In Fact: 2x (02:46, 31:41)
Goodness: 1x (21:42)
The Answer is: 1x (15:51)
Missing Something: 1x (18:37)
I Have no Clue: 1x (15:51)
Break the Puzzle: 1x (23:09)
Incredible: 1x (02:19)
Extraordinary: 1x (40:54)
Gorgeous: 1x (23:37)
Intriguing: 1x (03:44)
Chromatic: 1x (06:04)
Cake!: 1x (01:08)
Most popular number(>9), digit and colour this video:
Eleven (33 mentions)
Two (83 mentions)
Green (19 mentions)
Antithesis Battles:
Even (4) - Odd (0)
Black (13) - White (0)
Column (10) - Row (6)
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!
Let's Get (Chromatically) Cracking: 6:02
🤯 that’s some dedication here but pretty interesting 🧐
@@UurtsaikhBoldbaatar It's a bot haha. The purpose is to generate statistics and timestamps of the common verbiage you hear across the CTC channel!
@@SMmarcus100 oh thanks for the info
Odd is said once before 0:41
At 22:01 I think an easier way to look at this piece of logic is: purple = 19, the 2 lines they are part of sum to 26, so the 3 pieces of lines outside of box 7 sum to 7. This can only be made with r7c3 = 5, and r7c1, r9c4 both = 1.
I thought of it as: r7c3 has to be 6 more than the sum of r6c1 and r9c4. The two outie cells have a minimum of 1+1=2, so r7c3 has to be at least 8.
33:20
A supetb arrangement. The break-in wasn't to hard to work out, but careful constructed, and the second stage needed a lot more thought before working out which combinations to use. Separating the options in box 5 exposed my sudoku weaknesses for a while too but really enjoyed this.
What a great puzzle. Just the right difficulty for me. Took me over an hour but I was never completely lost at where to look next.
Such elegance in the setting! Beautiful!
Mark’s last puzzle was so short, so I’ll also enjoy this 1 yo puzzle.
"Well, you know me..." Indeed we do and we love it!
Loved solving this one! Followed Simon's path almost exactly. Thanks James!
This puzzle deserves all the praise it can get and more! Was totally blown away by how it solved.. am sure even those who dont do sudoku regularly will definitely enjoy this. Simon's solve of course was so well explained as always. Excellent excellent excellent..
I only took a little over twice as long as Simon to solve this one! Victory! = p
45:34 for me, which I'm happy about. Took me quite some time to figure out box 9, even after I knew the blue lines total. Very beautiful solve path and a rather difficult middle part. Loved it!
Very nice puzzle -- one of those ones I wish I'd done myself before watching Simon. I love the arithmetic-based variations.
I especially like how the middle is the key to start, and the final digits placed
Haven't had the time to see one of these lately. I'd forgotten how satisfying it was. Thanks for the solve Simon!
I got to 38:20 almost in the same way as Simon, but then instead of seeing the 29 pair in box 2 with the 29 green line, i saw the 47 pair in box 5 and 47 line.. and everything was solvable
what a great puzzle (and video!)
Great puzzle ! Great solving! Looking forward to Typo Man!
24:33 Very nice logic!
excellent, I loved the whole reasoning and deduction needed to get the numbers and then deduce where they all go. 💖💖💖💖💖💖
Hey, hey! 😃 One of the first puzzles in a long time that I have finished BEFORE watching Simon's solve. Of course it took me 112 minutes to Simon's 52, but since I'm usually over twice as long, even when I'm constantly watching a bit more of Simon's solve to get me unstuck, I consider this a definite breakthrough for me. 😇
An easier way (for me) to deduce the 6 in box 9 being locked in column 9 is to ask ourselves where 5 can go in box 9. With all the 8s looking into the box, it becomes rapidly apparent that 6 is very restricted wherever we try to put 5..
Really lovely! great puzzle for a lazy sunday. Thank you !
At 21:20 The 4 orange lines cover the entire box 7 and have three cells outside the box, they sum to 13x4=52, so 52-45=7, then you can't put anything but 5 in R7C4 and 1s on the other line's both ends.
What a glorious puzzle. After box 3 and box 5 were determined, I initially had a problem with box 1, but I had completely overlooked that the lines in box 1 and 5 have the same color!! Luckily I noticed it pretty quickly and really enjoyed solving the puzzle.
Very cool how you start by figuring out the green sum using the center box, then the green lines in the center box are how you finish the puzzle as well
This is so beautiful, great job James Kopp! And Simon, of course ❤️
33:09 finish. Loved the idea of this puzzle, and brilliant execution. Kudos!
I got stuck I think at a similar point that you did. I left the puzzle for a while, and when I came back, I realized what was going on with the two-cell 13 line, and I thought that was really cool. The four 13 lines together add up to 52, right? But the box adds up to 45, which leaves the three cells on lines outside of box 7 adding up to 52 - 45 = 7. But we already knew that the cell sticking out on the 2-cell line was 5678, so the only way to make 7 was with a 5 and two 1's. Then the puzzle was mostly pretty smooth sailing (at least when I didn't miss obvious sudoku). Very, very neat puzzle. Thanks for doing this one!
17:42 ... I did well on this one, to say the least. Math helped. :)
Nice puzzle!
Since we already have "Goodliffing" as a verb, maybe we should also have "Simoning" (or Anthonying?). Because he totally Simon-ed the 8 in box seven... (meaning there was a whole lot easier way to get to it, using the secret and the orange line total).
I was stuck on the break in for a long time, but I got through it and finished in 80:02. What a fun puzzle.
Beautiful aesthetic and logic!
Fun puzzle. I got stuck for a bit until I found the interaction from box 3 to box 9, but ended up not too much slower than Simon. 43:54.
28:38 for me. I agree that it's really cool that this puzzle solves with so little information - and at a moderate difficulty level pretty much the whole way through.
I really liked almost the entire solve.
The one part I don't like, though, is needing to run through every combination in a box to then notice that one digit happens to be restricted to one column. I just find that sort of logic ugly, and I wish there were a better way to get through that spot.
Very much enjoyed this one, loved the primes setting. This is the first time it didn’t take me twice as long as Simon (or longer)!
Did it in 60 mins, really proud of my solution, now I have to watch what I missed.
What a lovely puzzle, and what an amazing solve. Loved this one
This is an exceptionally fun and clean puzzle! Bremster featured this a while ago, but definitely worth showcasing to the biggest audience.
BremSter did the puzzle a few weeks ago, and I did it then. Maybe I'll do it again now, as review. (Later, before watching the video's puzzle) I did it. Box 9 had and interesting, peculiar feature: it didn't matter where 865 went, the 6 was forced into column 9.
33:00 You just hit that feature: 6 in box 9 in column 9. Look at what it does to the 63 pair up north.
Simply brilliant
So lovely puzzle! Really enjoy it!
26:00 with a few distractions. Beautiful puzzle!
That was beautiful! Hall of famer for sure! I’ll have to watch out for James’s next channel feature!! Great setting and solving, I especially loved the concept but geez the execution was something else, so many clever little deductions. Also really aesthetically pleasing grid. Note: you missed the 3 in the corner Simon!
33:58 for me vs Simon's 34:23. I'll take that as a win despite the fact Simon has to explain everything and has pressure from the eyes of the world watching him. I can pretend for a moment that he isn't 1000x smarter than me more generally.
The realization about 3 in the box 9 is so clutch in this puzzle.
In these types of math heavy puzzles, I think it will be very helpful to replace the rules with brief notes in editing after minute 5-6 of the puzzle. I can’t imagine I am the only one who would be able to better follow some of the math if it was better spelled out.
What a delightful puzzle! And very approachable! :-D
Brilliant!
That was a straightforward example of logic (the only problem was arithmetical) - completed in 17m03s
solved in 23:51 - got stuck with the blue lines for a bit. cool puzzle, the choice of primes is good
Why didn't you use easy maths on box 7, rather than discombobulating yourself? You've got 4x13=52 on the lines, so the digits outside the box add to 7. On the short line, the maximum you can have is 5 (if the other two are 1s), but this is the minimum digit you can have on a 13 sum that doesn't include 9, so it must be 5 with 1s on the other two cells outside box 7. You can't have a third 1 on the line, so there's only one place for 1 in the box. That line needs a further twelve, but 57 would make it impossible to fill the 4-cell line, so it's 39 (I loved that, and was glad you spotted it too).
I completely agree with your assessment of the puzzle - very classy setting.
48 minutes for this one. The finish is particularly good in this one where you discover the first digit that can be placed on the green lines.
I love how the centre box both opened and closed the puzzle
I actualy started with box 3, the 5 black dots were just too appealing. Then moved to box 5 and used the same path as Simon to identify the primes in boxes 7 and 9.
Very good indeed!
I don't know my time since I left without pausing at least once... also I got in a certain way and then got stuck so I started to watch the video. As soon as he said "okay let's get cracking" I realized the mistake I'd made early on haha -- seeing the little short orange line I'd made an assumption that it had to be the 98 pair for 17. I have no idea WHY I made that assumption... once I realized that mistake I was able to fix what I'd worked on so far and then was able to keep going. As always I ended up doing some things in a different way that Simon, but this was a really fun puzzle, the way a revelation would unwind the whole next chunk of the puzzle... Nice.
I failed this one. I quite proud to have made all the deductions you made at 21:30, my grid looks exactly the same, but I was stuck there for an hour.
Very cool puzzle.
I got up to about his 21:45 on my own (i.e., I figured out what the 4 primes were and got the 4 in box 9) and then got stumped. Then with one hint from the video, I managed to finish in 53 minutes. Of course I took several wrong turns and had to backtrack a couple of times. Not as elegant as Simon's solve!
awesome puzzle
47:03 for me - I wish there was a way of making notes, I kept forgetting which line means which color. Worse, I kept trying to make the lines in the center total 10, when 10 isn't prime.
+1000 to the notes idea - this took me 53:37 and a good part of that was moving the noted combinations for the 19 triples. I knew I wouldn't remember them by the time I got to solving that square, so I had to put them in empty boxes - and then promptly solved those boxes...
The first time I saw things ahead of Simon :)
Nice, thanks.
There. Are. FOUR. Primes.
19:39 for me. Very enjoyable puzzle
Finally a video is 41:33 !!! Go birds !!! #eagles #superbowl52
Did this puzzle awhile ago on BremSters channel, and it wasn't any easier for me now than it was back them.
26:40 for me, a very approachable one :)
i first thought orange would add up to a single digit number, 7 or 9. cause it was the only one with a 2 box line.
62:34, peaked at the solution to see how I made a mistake when doing really crazy pencil marking, probably could have done it myself but after another hour.
40:13 for me. How did I manage to have an easier time with Simon's puzzle today than with Mark's? Both excellent sudoku as always!
It really does *sound* like a nice puzzle but being colorblind I didn't stick around past the explanation. Are the lines in the top left the same color as the ones in the center or bottom left? Who knows?
Well at least this was possible! (79 minutes!) Can I also recommend Godefridus' killer in today's Observer? Usually good, very neat today.
14:30 for me. nice puzzle
71 minutes, thank you and good night! By the way, which sudoku has the norinori song?
Took me about an hour, 57:29…took me a while to spot that row 7 column 4 was restricted (if I pencil Marked it earlier I would’ve saved like 5 min) as well as seeing the possible outcomes of row 4 column 9 with the 8’s being restricted in box 9…probably didn’t explain that very well😂😂
it's a brilliant puzzle
Wow you put me to shame with how fast you noticed the next steps in this puzzle. I ended up making a mistake with the blue 19 lines early on and it took me forever to unwind to the point where I found it. Despite that this was still a really fun and challenging puzzle for me!
11:38 for me. What an awesome idea for a puzzle, I loved it!
27:52. Quite fast for a slowpid like me...
Solved in just under 30min, but it was after I realized I made a mistake early on and had to restart.. really good puzzle, but next time gotta be more careful 😅
1:03:19 for me. I wasted a good 30 minutes not realizing the rule that each total had to be different, even though I tried to take my time to make sure I got the rules properly.
Simon, is it possible to ask Sven if he can add a notepad to the solver? A simple plain text area would do the trick.
It would have been easier to keep track of the lines totals in this puzzle.
In general, any puzzle that need non-trivial math could benefit from it (or those puzzles with cage totals that "have to be determined by the solver").
That would indeed by useful in general, but for this one I found it was enough to write the triples randomly on the lines (e.g a 568 and a 379 in 2 cells on different lines in box 9)
30:20 for me. over 15 minutes spent on the box5 ending. i just could not figure it out. I am sure i made a mistake somewhere. It looked like a sub 15 minutes to me
I got my first digit in a couple of seconds the next took considerably longer.