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Gauss sumó del 1 al 100 sin sumar Del 1 al 100 suman 5050, y no hace falta sumar: son 50 parejas que valen 101 cada una. Según la leyenda, Gauss lo vio con unos 9 años, en una escuela de Brunswick, mientras sus compañeros sumaban número a número. Doblas la fila por la mitad (1 100, 2 99, 3 98…) y todas las parejas valen lo mismo. Con bloques se ve todavía mejor: dos escaleras iguales forman un rectángulo de 100 × 101, y la suma es la mitad. Por eso se llaman números triangulares. Pero la h
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Hidden pattern in primes visualized 🌀 An unexpected pattern appears that mathematicians still can't fully explain. Discovered by Stanisław Ulam in 1963 while doodling during a boring meeting, the Ulam spiral reveals that prime numbers don't just look random: they line up along rich diagonal paths governed by quadratic formulas like Euler's famous n² n 41. Yet, despite how dense these prime-packed lines are, nobody has ever proved that even one of them keeps finding primes forever. Do the br
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From the Oct 13 @The New York Times Daily episode: “Artificial intelligence has gone from struggling with basic arithmetic to helping solve some of mathematics’ most famous open problems — and the field is reckoning with what that means. Steven Strogatz, a professor of mathematics at Cornell University, describes the excitement and grief of watching A.I. take on work that gives people a sense of purpose — and asks what could be lost if machines deliver answers without the human struggle, insight
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