Descubren una nueva forma de identificar números primos

Is it possible to know if a number is prime without dividing, without using factors, without classical algorithms... but just by adding? In this video, we explore a recent discovery published in the Proceedings of the National Academy of Sciences (PNAS), where a group of mathematicians found identities based on integer partitions that vanish exactly when the number under analysis is prime. Through MacMahonesque functions, you'll see how what seemed like a simple addition game becomes an unexpected method for detecting primes. 🧠 You will learn: What integer partitions are and how to use them What a MacMahonesque function means How a formula vanishes only for prime numbers Why this discovery challenges the separation between additive and multiplicative theory 📚 Original article: Craig, D. S., van Ittersum, A. M., & Ono, K. (2024). Partition identities that detect prime numbers. PNAS. https://doi.org/10.1073/pnas.2409417121