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Tony Padilla discusses some of the shortest math papers to be published. From Conway to Nash.

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I really thought I'd heard the supposed tale of the "1 page thesis" on THIS channel! Was it not Ramanujan? I looked it up, but it seems wrong… maybe it was his dissertation instead or something? I though it was like, the random letter he posted from India with loads of weird crazy results was allowed to be used as his thesis (but this seems wrong).

Whats with the second figure of second paper? Top triangles can be interpreted as another way to fill empty line with 2 additional, but what with the bottom row?

Isn't the original theory of relativity paper by albert einstein also just 2 sides of a piece of paper.

i never understanf why some of these are so long. imo the best way to explain something is short and sweet.

EP-CYLON

Lovely ligatures

Shortest Ever Papers? Motherfucker ALL THE PAPERS you held up were 8.5 x 11 inches.

You forgot: The Ratio of Proton and Electron Masses by FRIEDRICH LENZ

Can't you guys use one of those whiteboards in the explanations instead of wasting paper sheets? It really hurts =(

Anyways, great video as always 🙂

I've written shorter papers…

"The Unsuccessful Self-Treatment Of A Case Of Writer's Block"

… (nothing's written)

Genius

2:16 TRIFORCE

Statistics and Geology*

Being a biochemist, I may have a biased opinion, but I believe the most impactful short paper in all subjects would be Watson and Crick's paper on the structure of DNA. The paper is just one page long.

I wrote a bit of Java to determine if the counter-example was true.

spoilerit is.public class Check {

static int power = 5;

/**

* Checks the counter-example

*

* @param args Command line args – not used

*/

public static void main(String[] args) {

// A list of numbers to be taken to the power of `power`

int[] preList = {27, 84, 110, 133};

long[] list = new long[preList.length]; // Allocate enough space for the actual numbers

long equals = pow(144, power);

// Take each list item to the power of `power`

for (int i = 0; i < preList.length; i++) {

list[i] = pow(preList[i], power);

}

// Sum the list

long result = 0;

for (long a : list) {

result += a;

}

// Compare and display results

System.out.println("The counter example is: " + (result == equals));

}

/**

* Really inefficiently takes an int to some power

* @param base the base number

* @param exp the exponent

* @return the result of <code>base ** exp</code>

*/

static long pow (int base, int exp) {

long result = 1;

for (int i = 0; i < exp; i++) {

result *= base;

}

return result;

}

}

Not a paper, but…

The body of my late fathers dissertation in number theory was 6 pages long. The remainder of the text was references.

Do you even triforce

In philosophy we have 'Is justified true belief knowledge?' by Edmund Gettier. It's just about 2 and a half pages long but changed the philosophical consensus on the correct analysis of knowledge entirely almost over night.

alternative title: mathematicians going savage on each other.

Let us not forget that a picture tells a thousand words. So really, this paper is quite long in word length.