# The 10,958 Problem - Numberphile

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**Published on Apr 18, 2017**- Featuring Matt Parker... Part 2 (solution) here: tvclip.biz/video/pasyRUj7UwM/video.html

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Inder J. Taneja papers...

Single Digit Representations of Natural Numbers

arxiv.org/abs/1502.03501

Crazy Sequential Representation: Numbers from 0 to 11111 in terms of Increasing and Decreasing Orders of 1 to 9

arxiv.org/abs/1302.1479

Videos by Brady Haran

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Sign up for (occasional) emails: eepurl.com/YdjL9 **Science & Technology**

David SchmitzDay ago^{+1}Actually, I can do it as well (although not with the minimal number of digits). Let's say we have to use the digit *a* to write the number *n* . Then we just add *a/a* n times.

Example:

Write 174 using 7s

174=7/7+7/7+7/7+7/7+...+7/7

Note:

You can drastically lower the number of digits needed by adding as many times the digit as possible, or even the digit squared etc.

Example:

Write 364 using 5

364=5*5*5*(5-5/5-5/5)-5-5-5/5

Bahlul Haider5 days agoThis trick didn’t work for me

Matt Barker18 days agoHi. Your name is Matt Parker. Mine is Matt Barker. That is all.

УмНыЕ ПчЕлЫ - ПрАвИлЬнЫй МеД19 days ago^{+3}@t

((1+2)*3+4)*(56+789)=10985

(1234*5)+(6*798) = 10958

два часа ночи а я тупа пример решаю, твою мать голову мене на 3 часа заклумил со своим 10958

Kamna Singh24 days ago1×2^2×3^7×4^5.555=10958.2594

Clovet Music26 days agoNothing's perfect

My Imaginary World28 days ago^{+1}Ok ok! Calm down, TVclip! I will check out the Numberphile channel! Are you happy now?

invisibly visibleMonth agoI can confirm taneja is indian not Brazilian

M M islamMonth agoWhy would someone solve in this way for so many numbers?It would be different if it was a theory rather than manual solutions.

aricre gamesMonth agoI am from brazil and i have no idea how to say taneja

darcipeepsMonth agoaricre games Maybe ta-NAY-ha

Splitting ProductionsMonth agoComing to this video I was view 2,222,021.

I thought there was gonna be something really neat there but...near miss.

TheICTLiker4Month agoI asked my dad for a three-digit number. He answered 323. Then, I asked him for a one-digit number. He said 4. Now, I realized that it's possible to describe it by using just one number:

Number: 323

Equation: 323 = (4^(√4)+√4)^(√4)-4/4

Vivek DashMonth agoTaneja is from India

GifleoMonth ago^{+1}I really thought I had a cool new math trick to impress family and friends at boring parties. Turns out this wizard just remembered the combinations.

Hemendra RaviMonth agoDidn’t know maths is like this lol u can do this in some parts but the use of school I kinda useless basically the teachers tell u a story (a bunch of em) if u listen them or u read them u just hav to write what they said in the story lol

61giseleMonth ago10,958 is also the number of days in 30 years, if you include the leap years . . .

Sir SpaghettiMonth agowhat about 0?

KASHIF7 KATOMonth agoI have trust issues

Bug BombMonth agoNumbers...? Numbers....! Numbers were invented by the prehistoric Mexicans to take jobs from Romans

My Imaginary WorldMonth ago^{+1}Ok ok! Calm down, TVclip recommendations! I will check out the Numberphile channel! Are you happy now?

TheIRONDragonMonth agoWhos here after the 301 view problem video

FishumMonth agoImagine being the creator of this and when a video is made of it they focus on the one problem.

Pratham PatelMonth ago^{+27}Teacher : You can’t bring any cheat notes in the exams

Student : but you can memorise the cheat notes

*”modern problems require modern solutions”*

Cool Dude JB 1Month agoI’m gonna cheat on my test by looking at how to solve the problems the day before

SlapHappyJellyMonth ago^{+1}10,958 = 1+2((3°4 x 5°6)7°8)÷9

At least i tried...

Mikedoespapercraft YTMonth ago√-1 (2^3) Σ π

and it was delicious

(Simpson’s)

I (√-1 is an imaginary number, which is i in math)

2^3: 8 (ate)

Σ: sum of all values in set. (Sum-> some)

π: pi (3.1415...) (pie)

SplitMonth agoOn the recomendations it says 301 views

JOOSTMMOMonth agoRussian translate has more views than original xD

iwatchvideosMonth agoYour spelling should be the first problem you solve. "Poblem".

Power In KnowledgeMonth agoThe difference between what he calls cheating and learning is that you come to the conclusion out of your own work and thinking, making connections, etc. Instead of just memorizing these sheets and then recalling the information when needed

Endermage77Month agoThe Parker Solution to this could be propped up with a simple Floor Functionally

Sonia LiuMonth agoMath is truly a beautiful thing

ChickenNuggetDinosaur ChickenNuggetDinosaur2 months agothere is no way he actually memorized all those..

Volto2 months ago"You can cheat by memorizing your cheat notes." So... Studying?

Unsal Gokdag2 months agoWell, although the idea is kinda funny But the solutions can be rather easily calculated via dynamic programming and recursion. And it can be proven that they are optimal(least number of digits) for first problem.

Conor Michael Collins2 months ago^{+1}((9!)/8x7)/6/5)+4)+321 = 10909 I'm So Close!

eduardo soto rojas2 months agoWtf in 0:24 i just said in my mind the number 841, almost the same what a coincidence

panther1052 months agoI like this guy. I wish he had been my math teacher in any level of high school or university....

BoostedToD52 months ago100 and 9

Ethan Burnell2 months agoThis is why you don't major in pure math.

da beautiful potato2 months ago^{+7}-pick a 3 digit number

- 8 1 4

- 814..... *I N T E R E S T I N G*

Marmot1419 days agoOMG TWOSETFANS amazing 15 B-Flats a second

AldobernalTV BernalMonth agoling ling

Derpy PotatoMonth agowhat is interesting?

Idkag 42 months ago^{+1}"So I can actually do 998 as 11 minus 1, give us 10 to the power of 1 plus 1 plus 1 is just, uh, oh, I've done two pluses there, that is a mega-plus, oh my goodness, that's pretty plus."

Lol

Rolf Mohme2 months agoConsidering the rules of Taneja, 10958 is probably the smallest positive integer with no formula for ascending digits. What are, according to the rules of Taneja, the next numbers without formula? My answer for ascending digits is: 13964, 14540, 14611, 14612, 14648. For descending digits: 14324, 17797, 17806, 18493, 18995.

Theo Cuber Guimarães2 months agoalgum brasileiro?

Astonthepunk Punkish immortals2 months agoIt’s 3am... what am I doing

Nathan Heaver2 months ago^{+1}how often does someone have 10,958 problems?

klazzera2 months agodid you actually memorize all the 3 digit ones ಠ_ಠ

Citizen Gamer2 months agoThis guy is the real John Oldman from "The Man From Earth"

noncanadian2 months ago2:42

praise be to the tism

Guido Gaggl2 months ago2:04 oh my goodness that's pretty plus

pedrolopa22 months agoThis is so useless and cool at the same time

Dylan Murphy2 months agodivide by 2

5474 × 2 = 10958

kirtan shah2 months ago^{+1}“That is a mega plus, oh my goodness that is pretty plus”

Hamish Rose2 months agoCockphile

Kartikeya Sarin2 months agobro if no one got it by now...this is using Vedic mathematics...

Jace Kelly3 months agoOkay TVclip I watched it geez

fun fus3 months ago1+-2+3×(4+65×7×8+9) = 10958

Phuoc Tran3 months agoCan u give me a copy of that?

Rolf Mohme3 months agoI confirm the result of the original author. I could not find a

"normal" solution even though I tried potentiating and

allowed complex intermediate results. The best approximation is:

1+(2-3^4^(5/6/7))^-8+9 = 10958.00205791. A formula that works but

does not conform to the rules is: 0.1*(-2+3+4+5^6)*7+8+9 = 10958.

fun fus3 months ago1+-2+3×(4+65×7×8+9)

What's on my mind3 months agoHumans are so predictable, that I also chose 2 as the 4th number.

Adil but with a B3 months agoevery number's chill until the 10.958 comes in.

Kebobski3 months agoWhy problem make when you no problem have you want make??

Conrad Garcia3 months agoTakeaways in life: Cheating in math and the Parker square. ;)

Venomous Vic3 months agoCan't you use factorial "!"?

Milla Saunders3 months ago^{+1}What a useless thing to memorize.

Earl LaVallee3 months ago^{+1}This seems to work for me: ((1+((23*34)*(((5-6)+7)+8)))+9)

Jonid Crushfire3 months agoClose, but you added an extra 3 in there

dabberdooder3 months ago10,958 is just the premium model

Alexei Alferov3 months ago(2^5*7^3-(9+8-1+6-4))

the TOMSTER3 months agonot that I'm not interested... but what comes out of this? this is play, right?! there is no prove, there is no higher field of Maths originating from this, its just fun and games... or am I missing something?

Jacob Woodson Music3 months agoOKAY I'M WATCHING IT TVclip! WILL YOU STOP RECOMMENDING THIS TO ME???