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MANIFOLD
Which mathematical problems are on OpenAI's list of 100?
14
Ṁ450Ṁ821
Oct 31
42%
Ramsey number R(5, 5)
40%
Sidorenko’s Conjecture
39%
Erdős-Hajnal Conjecture
35%
Frankl’s Union-closed Sets Conjecture
33%
ABC Conjecture
30%
Grothendieck's Standard Conjecture C
30%
Symmetric Mahler Conjecture
24%
Smooth 4D Poincaré Conjecture
24%
Goldbach's Conjecture
24%
Grothendieck's Standard Conjecture B
23%
[Millennium] Hodge Conjecture
17%
[Millennium] Birch and Swinnerton-Dyer Conjecture
14%
Twin Prime Conjecture
10%
Ramsey number R(6, 6)
6%
[Millennium] Riemann Hypothesis
5%
Collatz Conjecture
3%
[Millennium] Yang-Mills Existence and Mass Gap
2%
[Millennium] P vs. NP

From the company's post:

On August 28, we began training a new internal model. In addition to resolving the Navier–Stokes Millennium Prize problem⁠, this model has now resolved more than 100 long-standing open problems across most areas of mathematics. The pace of its progress⁠ in mathematics has surprised the mathematicians within OpenAI. This has led to internal discussions on the best way to inform the community of the rapid progress to prepare and adapt the field.

Which problems are on the list?

I will use my best judgment to match problems if there is any ambiguity (and yes, I do have the requisite background to do this competently).

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