The Prime Factor Reverberation

[@niverio8400]

It's always great to start a weekend with a feature! The reason for this puzzle was a celebration for Zetamath's KZbin channel reaching 1000 subscribers. I really enjoyed setting this one, cannot wait to watch Simon take a crack at it! 27:36, just this reaction alone is enough to make me grin for the entirety of May. Absolutely spot on in terms of all the intended logic Simon, what an amazing solve! Oh and another point: That given 3 does even more work in the background, since without that 3, 40 can be 1*5*8, completely ruining the 46 pair and the logic that comes after it.

[@TheRoblington]

Really elegant puzzle. Beautiful!

[@longwaytotipperary]

I loved that reaction as well!! Great puzzle Niverio! Great/entertaining solve (as always) Simon!

[@emilywilliams3237]

Spectacular puzzle, and I totally agree on Simon's reaction at 27:36. So fun!

[@sayici]

very unique and elegant puzzle!

[@CaptainSpock1701]

Dude, the way that you got to 1000 = 10 x 10 x 10 had me laughing so loud! Everybody in my house was looking at my like I've lost my mind.

[@JS...]

Also reminded me immediately of 808 State.

[@emdiar6588]

Same. Next up, Simon uses trig and calculus to show that 2+2=4.

[@topilinkala1594]

@@emdiar6588 But do you know why 1+1=2? And the answer is that because we say so. Let's elaborate: 2 is defined to be the follower of 1 marked as 1'. Now addition is define by recursion: a+0=a and a+b' = (a+b)'. So 1+1 = 1+0' = (1+0)' = 1' = 2.

[@emdiar6588]

@@topilinkala1594 I know that many a mathematical pedant has had fun with that kind of pointless proof, but at the end of the day, Maths is not philosophy (philosophy ultimately being the discipline of doubting the bleeding obvious). No one needs an equation. Simple observation is more than enough. The concept of what 1 is, and what 2 is, is more than sufficient as a proof that 1+1=2. It's as true a fact as I am standing here. The philosopher might argue that I must first define "true", "fact", "standing" and "here" for that statement to bear weight, and that's even before they question if their perception that you exist can be trusted in the first place, given that they can be sure only that THEY exist. Leave that kind of drivel out of maths I say. It doesn't help.

[@crhodgkin]

Maybe it's just me, but I actually appreciate when you make these sorts of errors and have to backtrack to figure out what happened. When I make these sorts of mistakes, I usually just restart the puzzle, but it's very informative (and I end up learning a lot) to watch how you go about "fixing" things.

[@timothybexon6171]

40:28 You know it's hard when Simon decided to try doing some sudoku while he figures other things out.

[@JalebJay]

33:03 I love 1001 for the interesting fact that its factors are 7*11*13 which makes it so different from what people expect. It also shows us that they have a period of 6 after the decimal point when doing 1/7 and 1/13.

[@laincoubert7236]

as difficult as the puzzle seems, it's pretty elegant and easy if you check every possibility when it comes to decomposing the clues. and when you crack the idea, it's just a speedrun from there. what a lovely sudoku!

[@hendrikharryg]

I gave this video a like when Simon realized 2*2*2*5*5*5=10*10*10=1000

[@markbennet9058]

@20:35ish - a piece of logic I have never seen before [3 not in r3c7] - worth the money just for that. Hidden just well enough ... beautiful

[@th.nd.r]

This is just an absolutely incredible puzzle, Niverio. Geez Louise. This is a highlight reel, top of the line sudoku. The novel ruleset which I’m surprised I haven’t seen before from how beautiful the logic was about it. The beauty of that ring!!! Goodness gracious. And well done Simon on the solve and on catching that slip near the end. You make these puzzles even better.

[@logiciananimal]

I love it when multiplication gets to play a big role rather than just addition.

[@inspiringsand123]

Rules: 02:55 Let's Get Cracking: 04:59 Simon's time: 41m40s Puzzle Solved: 46:39 What about this video's Top Tier Simarkisms?! You Rotten Thing: 3x (18:10, 18:14, 30:11) Bobbins: 1x (36:05) Maverick: 1x (05:24) Phistomefel: 1x (02:28) Butter My Parsnips: 1x (17:38) And how about this video's Simarkisms?! Beautiful: 12x (00:45, 17:21, 19:26, 19:30, 24:41, 28:14, 28:16, 28:42, 33:38, 46:37, 46:48, 47:33) By Sudoku: 11x (20:11, 20:16, 33:33, 39:15, 43:37, 43:42, 43:49, 45:23, 45:27, 45:49) Ah: 10x (10:37, 13:02, 16:25, 31:16, 31:56, 33:36, 35:11, 40:51, 40:54, 42:44) Sorry: 9x (00:59, 09:17, 13:23, 24:08, 36:42, 38:42, 38:42, 38:42, 40:23) Pencil Mark/mark: 9x (08:03, 08:07, 36:10, 39:24, 41:39, 42:18, 45:36, 46:45) Obviously: 7x (09:02, 09:15, 10:58, 11:20, 16:17, 22:47, 29:07) Hang On: 5x (04:20, 23:37, 36:42, 37:04, 37:04) In Fact: 5x (08:34, 24:45, 25:46, 26:33, 27:32) Lovely: 3x (40:57, 46:53, 47:09) Gorgeous: 3x (32:06, 46:40, 47:25) Going Mad: 2x (37:10, 40:12) Good Grief: 1x (24:43) Diddly Squat: 1x (44:19) Bother: 1x (44:19) Clever: 1x (29:14) Break the Puzzle: 1x (14:35) Discombobulating: 1x (42:13) I've Got It!: 1x (36:46) Disappointing: 1x (45:17) Stunning: 1x (47:15) We Can Do Better Than That: 1x (46:16) Fabulous: 1x (02:16) What Does This Mean?: 1x (23:59) That should be a Something: 1x (45:40) Cake!: 1x (01:03) Most popular number(>9), digit and colour this video: Eleven (89 mentions) Two (84 mentions) Purple (4 mentions) Antithesis Battles: Low (2) - High (1) Odd (4) - Even (3) Row (7) - Column (5) 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!

[@therocknrollmillennial535]

I think you should program something into the bot to notate every time Simon says "Squell," A Square-Cell portmanteau. (32:49 in this video)

[@DHREAVER]

Very good bot. “Good grief” definitely needs an upgrade to the high tier.

[@DHREAVER]

The quoted “I’ve got it” was actually an “I got it round the wrong way”.

[@emilywilliams3237]

So wonderful, this whole video, every moment. What a cheery and fun solve and an excellent puzzle. And by the way, in case anyone actually reads other comments and is willing to hear another vote in favor of the CTC Apps - I vote YES. They are great. After solving hand-crafted puzzles on the apps (and over on discord, and on Patreon), I will never go back. They are well worth the money to purchase them as you will gain a lot of pleasure from them - and it is a very easy way to support the channel. Thank you, Simon, for this very fun video!

[@JohnRandomness105]

Me: and we're off, factoring 1001 and placing both 7s, followed by a stop. 24:00 Thanks for the heads-up about the 11s. The pairs sum to 11 and 13, or 9 and 11. The two different cells must be off by two, with the 99 cell lower. In Block 2, if the orange cell is 8, the green cell must be 6, and the orange-green cell must be 5 or 3. 31:00 In the lower-right 1001 diagonal, with the 89 pair, 52 go together and 34 go together. So once 3 is removed from R5C9, 4 is removed from R9C5. ENDGAME Crash and Burn: Things were going so nice until the final three cells in Block 2, when a 9 turned out implacable. Don't see how I can recover. Recovery and Completion: I went back (both me and the video) to where Simon did something different from me, and a little further to see where I went wrong. I still got my result, and decided to stick with it. I still don't know where I misplayed it earlier, but I was a little more careful now (maybe) and finished the puzzle. My result -- a 7 where Simon ruled a 7 out -- worked, and the diagonals and lines add/multiply properly. So I guess I'll see where Simon backtracks. 38:25 -- Ahah! He found something wrong, and a 7 DOES place there. 40:10 -- No, not going mad. Both times around were correct, but incomplete. First time: 9 was eliminated but not 6, so C5R1 became 56. Second time around, 6 was eliminated but not 9, so C5R1 became 26. Both were correct and the correct 6 was chosen. 37:00 -- Simon said, "4578" but entered "4567" and corrected the 7 to 8, but not the 6. That was the source of the later collision.

[@amoswittenbergsmusings]

Fun fact: the number 1001 plays a role in traditional kabbalah - the Hebrew word for *_one thousand_* is elef [אלף] which is also the name of the *_first_* letter of the Hebrew alphabet, pronounced alef but written identically as אלף. Thus, 1001 encapsulates Oneness. Furthermore, the gematria of the word alef/elef is 1+30+80=111, again signifying Oneness on every level, in the 1s, 10s and 100s. And 1x10x100=1000. The counting number elef=1000 is the highest named number in Hebrew - 10,000 is already called רבבה [r'vavah] which is *not* a "number word" but simply means "many" or "numerous". The gematria of the _word_ One [אחד] is 1+8+4=13, a factor of 1001. The remaining divisor 77 has its own symbolic significance which I will not bore the sistern and brethern with. However many different aspects of creation are manifest all around us, they are all rooted in Oneness. One day all of humankind will experience this Oneness - then differences and distinctions will reveal themselves as merely so many different manifestations of this underlying Oneness. No wonder that then warfare will no longer plague us and all of humankind will be united in unbreakable peace. May it happen sooner rather than later. Come to think of it: the wonderful peaceful CtC community is a sort of preview of that idyllic state of affairs.

[@kellwillsen]

Thoroughly gorgeous puzzle, thank you for sharing it here. I think this is the first time I've come anywhere close to the video solve time, too. I'm a low-key maths nerd, so prime factors make me happy!

[@RangeWilson]

I got the factoring implications right away, since I'm good at that sort of thing. Time of 25:32, bifurcating on two 7s in column 1, and picking the right one for once.

[@physicsnerd02]

I graduated university in 2002 and heard for four years from various speakers, alumni, etc, that 2002 is the product of four prime numbers. Needless to say, the 1001 clue was easy for me to figure out :)

[@piarittersporn]

I was very busy with this puzzle, but I was able to solve it after a while and a recognized miscalculation. It is a wonderful puzzle and I really enjoyed it.

[@markp7262]

35:25 finish. What an idea! Always good to see more maths in my sudoku puzzles.

[@shteevuk]

Very nice of Niverio to put that 3 there so I didn't launch into a huge chain of reasoning based on absolutely false logic :)

[@lauracortes7720]

whew this one was tough.. kept making silly mistakes! I've been going through a breakup and your videos have kept me happy and entertained

[@amoswittenbergsmusings]

24:00 Wherever 11 goes on the 1001 diagonals, the dyad on the 99 diagonal must be 9. And if it is *not* 11 on the 1001 diagonal, it is 13, so the dyad of the 99 diagonal in that box must be 11. In either case the non-overlapping cells in that box differ by 2: 13/11 or 11/9, the 99-cell always the smaller one. Simon, take a deep breath and goodliffe the '_minor_' partner as 3/4/6/7. [edit] 47:48 BINGO. I am glad I have not atrophied.

[@Coyotek4]

32:06 ... Loved solving this Sudoku (and the video's title was reminiscent to me of a "Big Bang Theory" episode). Nice puzzle!

[@alarictaqiarentza9451]

Factors for all of the clue: 20: 1, 2, 4, 5, 10, 20 40: 1, 2, 4, 5, 8, 10, 20, 40 99: 1, 3, 9, 11, 33, 99 1000: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000 1001: 1, 7, 11, 13, 77, 91, 143, 1001

[@joescarborough1]

Maverick: "Look! There's that nutter sitting in his attic talking to himself again"

[@Gonzalo_Garcia_]

24:55 for me. What a ruleset that was, it confused the heck out of me at the beginning. However, once I understood how to use it to get going with the puzzle, it became incredibly interesting. Really nice idea, very enjoyable.

[@countknersis700]

This is why you and Mark are important. Very much. We, all of us, can breathe for a moment.

[@countknersis700]

I don't know what it is. But something challenging will always fill my mind and keep me calm and willing while watching. I am scared of being bored after a period that probably scarred me.

[@linforcer]

After 90+ minutes I got to where Simon is at 19:48 and I was also thinking "Can i prove this is not a 3?" but unlike Simon I could not find the answer, and watched the video instead. I DID already figure out 11s have to alternate around that diamond though, just didn't see a way to use it yet.

[@tallcat]

I approve of the "Big Bang Theory"-esque title

[@CrackingTheCryptic]

Oh that is so magnificent that you spotted that :) :)

[@leojs5673]

For whatever reason it reminded me of Hitman escalation contracts from the latest games, if anyone here’s ever played that haha

[@57thorns]

The easier way to think about the 1000 diagonals is not primes, but factors. The low factors of 1000 are 1,5,10,20, 40 and 50. Of there only 10 and 20 can the made up as a sum of three different one digit numbers. But if you use 20, you are left with 50 which is 5x10, and 5 is not a sum of three digits. So it has to be 10x10x10.

[@SmartHobbies]

I looked into the grid and thought parts of the puzzle were missing. I look outside the grid and said “Oh. That’s the trick.” Cool idea.

[@JJW667]

This could’ve been a title of an episode for The Big Bang Theory

[@markbennet9058]

If you want another cool multiplication try 73 x 137

[@JohnRandomness105]

Both are primes, and the answer is really cool. (137 has a physics meaning, too.)

[@tomsommerville]

Interesting side effect on the 99 diagonals that the outer and inner pairs across the boxes sum to 10 (4+6 & 3+7)

[@jamesdanek3891]

Simon says "I feel stupid" I say "you feel stupid? I don't even understand what you said"

[@alienrenders]

22:53 is my time. Rather simple puzzle if you're good a factorization. Interesting idea for a puzzle.

[@glum_hippo]

Delicious puzzle!

[@davidrendsburg9363]

I feel but there's a bit of logic missing about the sixes in the lower right corner. You cant have a 6 on the Renban and a 4 on the other diagonal. But, you conceivably have a 6 with an 8 in the other diagonal. The other end of the Renban would then need to be a 5, but from there there's still a bit of watch needed to disprove a six on the line.

[@iain_nakada]

I thought the same, David, but it doesn't work. The 1001 diagonal always holds the bigger number, so 6 pairs with 4, never 8. Hope that makes sense.

[@toddbiesel4288]

🎶 This is a boxes clash on pirate satellite 🎶

[@f.b.jeffers0n]

What a great puzzle!

[@CaptainSpock1701]

It has "Prime factor" in the title! *I must watch it!*

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

45:00 for me. i had a mistake that took me a lot to recover.

[@JohnRandomness105]

I was enthusiastically on the last three cells, in the last block, when the puzzle broke (crashed and burned). I backtracked to a point where Simon had a result different from mine. I backtracked further, and decided that mine was correct, and then continued onward to solve the puzzle. I have no idea why I went wrong the first time. Of course, I had not yet reached the point in the video where he crashed, at the cell where he and I diverged. His reaction was classic, multiplied when he backtracked and did something different (not wrong, just different) and further confused himself.

[@nightwishlover8913]

Yay! Less than an hour long! Maybe able to last through it!?

[@petnax]

Sometimes I just have to switch off my neanderthal brain 🧠 and let the words wash over me. Enjoying the video as usual though.

[@markbennet9058]

And @29:20 this comes exceptional

[@Anthony-yn3fg]

wish I could study sudoku at uni 😆

[@maverickstclare3756]

I'm prime "These all have to be 2 less" only uses that to get one of the 4 pairs!

[@JohnRandomness105]

Not only that, the pencil marks where he later tripped violated that condition.

[@SnowTheJamMan]

6:35 Everyone knows 7*13 is 28

[@Coyotek4]

I love that A&C bit!

[@SnowTheJamMan]

@@Coyotek4 Yeah, glad someone got the reference

[@countknersis700]

Makes you realize things.

[@scarybird9213]

could it be posible to wish my best friend nick a happy birthday tomorrow (may 14)? he turns 19 and has been watching your videos every night for like 2 years now

[@ProfessorPanyck]

That snafu in box 4 had me worried. I was astonished you nailed down the error so quick. I have a lot to learn but your solving is absolutely gorgeous :)

[@countknersis700]

Consolidation of specific thoughts and minds placed you in good stead. And for the moment.. Now there is training and what you can say and what you can never say. The only way to reach 1 million. There must be aspirations now. Tell me how I can help, because this is my number one channel. All be it I am not 'normal' so to speak.

[@theblinkingbrownie4654]

32:50 why cant it be a 1-4-5 and the cell be a 5?

[@indigorune]

took me way too long to find the initial logic for this (finding the possible multiples). and then even more embarrassing amount of time to realize there was a pattern with 9-11-13-11 around the diagonal diamond. once i got that, the whole puzzle solved itself.. but 84mins.. smh.

[@six_5000]

40 minutes in and only 4 digits placed... yeah I quit

is it just me or do a lot of the recent episode titles have a vibe similar to the titles of the Big Bang Theory.

[@abraxasnl]

This one is much too math for me. Time to butter my parsnips, I guess.

[@stephenjames2951]

You said 7 and typed 6 into R5C1

[@countknersis700]

And I always feel welcome, so thank you. My mind ran a wire, come to think of it, it does it a lot. How you were willed into one way and chose another. Seemingly stupid or impossible a decade ago. These days it is free for all, if you know what I mean. The whole thing just works. Is it because of the work done in the backround or sucking up to geniuses? You and Mark come from decent careers. Pretty decent. Something felt wrong. So you found each other and now you are doing this together.

[@countknersis700]

My point is.. Enjoy life and try to see why it is necessary. Don't make it hard or dark or linear. Too much of an opinion causes war. Between 2 vendors and then between 2 businesses, between 2 countries, between 2 sides of the world. How we got here is because of just that. We should be more aware of things without being over aware. Balance. Where is the puzzle that will solve our human strife? If only everybody were capable of solving it in their own minds first.

[@ichselbst4798]

28:46 again some lucky guess that turned out to be true - there is no reasoin why this 4 cannot be a 2 (with r5c9 7)

[@timcotton1782]

I would have thought puzzle guys all know that 1001 is 7*11*13 without having to work it out...

[@countknersis700]

My Jack Russell is almost 6 years old. I held his full body in my hand when he was 2 days old. Time. I do not want to outlive him because he will die in a day and I don't want to be around if he outlives me. Man's best friend. That will always be true. (That is 3 in the corner..) Hidden but obvious.

[@countknersis700]

It does send a message.

[@countknersis700]

Come think of it.. Why does everybody give their times here? Was it a race? I will start a puzzle and think about it when I get stuck. Come back 2 days later, finish it and type in the row and column. I normally hang around on page 6.

[@countknersis700]

Personal opinion states exactly that. Yet we lost our human intent. Now everything is an app. Somebody could have found a new way of governance. A new word. But a successful one. We are searching in desperation for nothing. There is a reason I say 'we'. There is still energy left in me. Where will I waste it?

[@knightry]

Who wants to go in with me on a gift copy of Mavis Beacon Teaches Typing for Simon? 🤣 I must have lost count of the number of times his typos have completely confounded him.

[@countknersis700]

30 minutes. Edit. Just testing the water. (Efficient) That was quick.

[@countknersis700]

I live in a community that seems oddly comparable..

[@countknersis700]

Whatever you think is best then..

[@bbg00000]

Romania

[@countknersis700]

You can find confidence in two places. Personal achievement and/or speakers on stages. Or if you play chess with your dad a lot. Unless you were brought up in a good way to find it in yourself. With effort. 4/5 with a 99% rating. To ones own surprise.

[@countknersis700]

I now search for the old stuff. Well constructed. Too much of a good thing. In Afrikaans sê ons alles is 'te' behalwe tamatie. So gaan dit maar..

[@lewsouth1539]

Here, I fixed it for you: "Clues outside the grid give the *product* of the box sums that the diagonal passes through."