30 year-old math problem SOLVED

[Astromath]

Imagine being a first-year graduate and solving a problem Paul Erdős couldn't solve!

[AMANKUMAR-ohzt]

Need a full video on this Jade. It is a nice idea.

[JonLondon]

Need a deep dive on this. My brain struggles with numbers.

[alpha]

How to keep a math geek in suspense....watch a short by Jade 😅

[adamnevraumont]

Your channel won't let me post the link to the paper.

He found a similar problem with a in multiplicating polynomials.

Then he encoded the polynomials using multiple base polynomial logarithms in the naturals, and added well chosen "random" buffers between the logarithms.

Using previous results, he showed this was Sidon with sufficient probablity to be certain it exists. And that the discrete logarithm encoding meant you could get every sufficiently large number.

The property of the polynomials that lets his generated numbers be dense enough is beyond me.

[zilvarro]

So much teasing with missing details. We really need a full video on this.

[saviobenitez]

Your right eyebrow steal the show every damn time!
Need a full video on this tho

[wellesradio]

You just yadda yadda’d over the polynomial bit!

[professorlegacy]

I didn't understand a bit of that but I could listen to you talk about it for hours.

[dejaphoenix]

Interesting problem. Reminds me of Golomb Rulers, which I know about because of a distributed computing effort years ago.

[softerseltzer]

Love these bits on sort-of obscure math problems!

[drake]

At first I thought the place values of base 2 (1, 2, 4, 8, 16, 32, 64...), but as I was typing, I realized some numbers take more than 3 of those to get to... I wonder, though, if a similar set of numbers would work

[alpha]

Yes need a video on this. Intrigued by what substitutions he made to come up with the polynomial set

[bSun]

This video makes me hate #shorts even more. Its too short!

[TinyFord]

I didn’t understand most of what was said, but what I do understand is that there is a First Year student who solved a doctorate level problem, and in 30 years he will be a legend in the maths world

[Edward-zwld]

Jade could make a video about anything and millions would watch it 🎉

[stargazeronesixseven]

This first year student is mathematically creative! 🙏 Respect & Salute! 🌷🌿🌍

[kaitlyn__L]

Good old polynomials! Taking the negative numbers out of error correction AND solving this “contradictory” requirement

[CyborusYT]

woah it's like additive prime numbers

[fenhen]

It feels like you’re setting up a problem I should be able to solve, then I find out maths greatest minds have struggle for 30 years. 😅