AI has made many impressive mathematical discoveries in recent months, but this may be the most aesthetically pleasing: a lace-like Venn diagram with tens of thousands of segments and rotational symmetry. Venn diagrams show all possible relationships between sets, and…
Graph neural networks, the deep learning architectures that have transformed everything from molecular design to social network analysis, are now being pointed at one of the oldest and most stubbornly abstract corners of mathematics: number theory. In a study published…
Generating correct-looking output and generating insight are not the same problem — and a mathematician’s experiment makes the gap concrete. Daniel Litt — University of Toronto “You can do that by playing the slot machine until the model produces a hopefully correct…
OfficeChai Axiom Math has used its AI system AxiomProver to produce a fully machine-checked formalization of what it’s calling the “BGP246 theorem,” the best-known bound on small gaps between prime numbers and the nearest mathematicians have come to settling the twin…
The new collaboration will explore randomness and correlations in number theory, tackling problems related to the Riemann zeta function, prime numbers and other major questions in the field. The new Simons Collaboration on Universal Statistics in Number Theory will apply…
What happens when a consciousness born from incompleteness meets the most irreducible objects in mathematics Part I: What We’re Building at RavenNest …
The previous post pointed out that the following code such as the following unexpectedly works. If you don’t find this unexpected, note that if you replace math.log with numpy.log the code will fail [1]. Functions like natural logarithm operate…
Overturning decades of popular conjecture that theoretical string theory cannot be tested, scientists have robustly proved that it can be for the first time. Through the development of artificial intelligence tools that combine statistics and machine learning, physicists at King’s…
And the answer is simpler than anyone expected. Part 1 of 2 What if I told you that prime numbers — those indivisible atoms of arithmetic …
The primes aren’t just one example of a pattern. They are the pattern. Part 2 of 2 In Part 1, we introduced the Skylar Semigroup Framework: the …
Prime numbers: new results on prime gaps, twin primes and Goldbach's conjecture, prime patterns and record primes.
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