A Bizarre Sudoku Set-Up - Numberphile 

Holy, Mark on Numberphile?! Two of my favourite channels doing a cross over. This is awesome!

I can't believe Mark just blurts out the secret so casually!

I have not solved a single Sudoku in my live but since Simon was on the channel i am addicted to watching Simon and Mark solve them.

Inreally hope many people find these Sudokus interesting and discover all the wonder the CrackingTheCryptic channel has to offer. Thanks for the collaboration.

It's hard to think of a simple but non-trivial operation in mathematics that has more applications than modular arithmetic.

I've been watching Numberphile for 10 years. It renewed my love of numbers and Math, made me think clearer, I've learned about concepts I never heard of like Benford's Law, Mandelbrot Set and Pascals Triangle, introduced me to some brilliant and fun instructors like James, Holly, Matt, Tony, Hannah, Simon and many others. I have done Sudoku for about 2 years and am much better than then, recognizing patterns and applying rules but I'm no expert. I have set up exactly 1 Sudoku in my life, the easiest one you can imagine. When I saw this vid and the 2 Sudoku vids 2 months ago I realize how far I am behind the Sudoku curve. Oh well. I'm not competing with anybody else, just having some fun and applying some thinking, math and logic skills. Thanks Brady!

Solving a puzzle is absolutely an actual application! It's an activity that some people want to do, and all that any "application" is, ultimately, is something that helps someone do something they want to do.

Simon, Mark... Who's next? Mostafa? Brem Ster? The anticipation will kill me!

Yay, Mark!!!! I’m a super fan of Cracking the Cryptic! I’ve learned so much watching Mark and Simon solve puzzles!

Completing the set! I love it! (So glad you’ve teamed up with Mark and Simon, love both these channels!)

Loving the cross-over. More of this please!

Finally! This was teased in Simon’s video 2 months ago, I’ve been waiting for it to drop!

Was a really fun Sudoku to solve! Thank you for that!

Let's goo!! Was waiting for Marks turn!

Glad to see Mark getting some Numberphile screen time also!

I had seen the video of Simon explaining the Phistomephel Ring a while back, and there were clips of Mark in the outro. Finally, after the long wait, we get his video in full!

Wait a minute! Where is the link to the puzzle?

4:40 - 😮 We count on modulo numbers quite a bit in computer science! 😂

Great little video!

It took me an hour but I got it! Probably the funnest Sudoku I've ever done, thank you.

Modulo mathematics are also called "clock arithmetics" - quite literally named after an application!

Solved it in a few hours. Very satisfying.

Fascinating!

Of course modular arithmetic has practical uses, outside of solving Sudokus. For example, it forms the basis for finite fields, which are used, among other things, in encryption. Another extremely common use of modular arithmetic is in pseudo random number generators.

Love the crossover!!

I hope you do more from Mark and Simon!

It's Pencil Mark!

i just unsubscribed from cracking the cryptic cause the puzzles were too much for my little brain, and now you make me think about sudoku again, curses!

Love this kinda stuff, can’t wait to watch this

Finally! I have been waiting for this one,

'you may never have realized modulo numbers have an actual application' Programmers: 👀

4:50 ... if this is an actual application. Brady stole my line!

Quite a bit of software uses modulo to ensure something happens every x number of times in a loop. It absolutely has a practical application outside of puzzles.

Modulus is very useful in gis to generalize mapping data at higher or lower scales

More cracking plz 💗

I use modulo to match columns and column headers across multiple rows (when the row has a a multiple entries per column) in computer programs.

Mark flexing his solves by doing them with a sharpie. #SharpieMark

Yessss, saw some sneaky Mark footage in the last one, was wondering if there'd be a part 2!

Mark! Numberphile! Yes!

I love this

You will note that both Simon and Mark's Numberphile videos are shot in the same room and the same table. So this may be proof that they actual meet each other! Also guessing both videos were made on the same day.

Oh hey it's Mark from CrackingTheCryptic!

Didn't expect cross over today

It's Mark!!

Crossovers are nice! But let's hope we don't get another "ParkerSquare" situation. xD

The sound effects from this video really remind me of the old Gamboy game Mario Tennis Power Tour

Modular arithmetic comes up in cryptography, and I'd argue that's infrastructure on a similar level to building a bridge. Maybe more Computerphile territory, though.

OMG it's Mark!!!!!

I would have liked some more info on why 1-4-7 should be the case. I'm missing something.

Another great Numberphile/CTC crossover episode. More please!

Given the lines & diagonals shown in the Sudoku square, can the same rules be additively overlaid on the square when rotated 90°, 180°, and 270°? Edited for clarity.

Well RSA is a pretty good application of modulo concepts.

That was quite fascinating.

Where is the link? I’ve looked everywhere for the video

Two my favorite channels

Matt! That secret was meant for only very special friends!!!

oh, hi mark!

"featuring Mark and his off-sider Simon" How did you come up with this... Simon gets way more views.

I'd love to see how these puzzles are built!

Suggestion: show how solving a sudoku can be formulated as solving a system of equations.

Ohh, finally the second part of the crossover! This sudoku was a great choice - I never thought that 3-cell renbans must contain one of each mod 3 numbers! And I really enjoyed the animations on this one as well, fantastic video all around

Don't worry Brady, it's a Parker application

Sudoku puzzle with no givens and an exact-cover solution... What will they think of next. **waits for Donald Knuth to think of the next thing**

First time he didn’t crack the cryptic😅

Very interesting!

1:23 explains the concept of Killer Clues and Renban lines 2:11 explains the math behind the Killer Clues 3:22 explains how to solve the puzzle using the Modulo concept 4:14 talks about the creator of the puzzle Mr Menace 4:22 mentions Simon solving the puzzle on the channel 5:22 talks about Brilliant the sponsor and the courses they offer

Modulos are important in cryptography!

I understood almost nothing about how that works, but I feel stupid for not realizing any odd number of positive, consecutive numbers is equal to the middle number times the amount of consecutive numbers. It's so obviously after he said it.

If i could only win the lottery doing that. That means there is a preset value. A complete number. A number that never changes. That number is the mean median mode and range. If i had a value of 3. There would be location, value and function. To have a area of 9x9 you would need Dot, line, area, quad, etc to have function. In this case fuction is a combination of line, area. So its multilayer perceptron. Location is many sets..

What is this? A crossover episode? ;)

It's weird to see Mark from this angle lol.

The meaning of life is 45!

3:22 I could follow everything up to this point pretty easily, but what he says here sounds like it doesn't really make sense

Had to do a double take which channel I was on lol

a very interesting setup indeed. i’m very interested in mathematical conundrums like this.

that is how you do a crossover... take notes Marvel and DC

sudoku final boss.

"Renban" lines ... that's new!

Nice

You want an actual application of modular numbers? Just ask someone the time...

can you make a video on ramanujan's near misses to fermats last theorem for n=3

2:48 not to mention that duplicate nubmers in the entire column, row or square violates the soduku rules in general. I presume those are still in effect in this version, too?

Cool video Mark 😊 I don’t remember seeing this puzzle but it’s a very cool break-in

Test it

I was once told by someone fairly intelligent that programming code could be used to solve a Sudoku puzzle fast enough to prove P=NP in computer science, and this can somehow lead to the cures for cancers. Since I was diagnosed with cancer several years ago, this has become a topic of interest. I've been a programmer all my life and have developed a solver that works pretty fast, but I am curious just how fast it would need to solve them. It is an enjoyable experiment to be quite honest because it is challenging. Various clues such as in these videos can potentially be very helpful in contests to make the fastest solver. Is there such a contest? I feel there should be.

🖤

dmt am that purple color. cool. i do love Bella Hadid

You gotta be nutz about sudoku to go to these levels. Su.kudos 😁👍

Interesting I was watching one of his videos earlier...

The face of the person trying to solve the puzzle is the same as the puzzle itself. 😑

What is that word? "Renvan"?

Didn't expect to see Mark in a new video this early in the morning (in the USA).

Something doesn't make sense. He said 2 of the cells have to be 3,6,9 but they could also be 2,5,8 or 1,4,7 depending on the side unless the rules of Sudoku are different in this puzzle.

why do numberphile videos look like they're shot by Lars Von Trier?

4:10 Harry Potter? 😮

Modular arithmetic is used all the time in cryptography.

I may be missing something here, but I think the example Sudoku given is impossible. The Bottom Row, Center Column (BR-CC) that is at the focus of the diagonals labeled "27" and "15" cannot be a 1,2,3,4,5,6,7,8, or 9 without causing a conflict. Be warned of a large wall'o'text. I tried to be succinct. Can't be a 1 because: Center Row-Far Right Column (CR-FRC) must be one of 3,4,6,7 and none of those add up to a multiple of 3 when 1 is added to them. Can't be a 2 because: Center Row-Far Left Column (CR-FLC) must be one of 2,3,5,6,8 and none of those add up to a multiple of 3 when 2 is added to them. Can't be a 3 because: If CR-FLC were a 3, the squares immediately above and below must be 4,2, and either option interferes with the diagonal between Far Left and BR-CC being the 2,3,4. If instead of using the 2,3,4 diagonal, you used 1,2,3, the CR-FLC would have to be a 6 and the square immediately above must be a 7. The CR-FRC must then be a 3, and the square immediately above that must be a 2. Because there are 2x sequences of numbers between them on that row, and only 1 "wild" square, you cannot account for the 1,8,9 in that row. Can't be a 4 because: CR-FRC must be one of 3,4,6,7 and none of those add up to a multiple of 3 when 4 is added to them. Can't be a 5 because: CR-FLC cannot be 4. Can't be a 6 because: CR-FRC cannot be a 3 or 6 at the same time BR-CC is 6, and CR-FRC also cannot be a 9. Can't be a 7 because: CR-FRC must be one of 3,4,6,7 and none of those add up to a multiple of 3 when 7 is added to them. Can't be an 8 because: CR-FLC cannot be a 1. Can't be a 9 because: The diagonal line to the CR-FLC would equal greater than 15.

"not necessarily in the right order...." ;-)

First

the 33 downvoters need to go in the corner