Number's up: Calculators hold out against AI The Casio Mini, the world's first personal calculator, is seen at the Toshio Kashio Memorial Museum of Invention in Tokyo on Nov. 25. Tokyo/Bangkok - The humble pocket calculator may not be able to keep up with the mathematical capabilities of new technology, but it will never hallucinate. The device's enduring reliability equates to millions of sales each year for Japan's Casio, which is even eyeing expansion in certain regions. Despite lightning-speed advances in artificial intelligence, chatbots still sometimes stumble on basic addition. In a time of both misinformation and too much information, quality journalism is more crucial than ever.

The cornerstone of modern math wouldn't be possible without the Hindu-Arabic numerical system. Breakthroughs, discoveries, and DIY tips sent every weekday. Most people know about Pi Day (3/14), but there are even rarer days on the calendar like Pythagorean Triple Square Day (9/16/25). The poetry of mathematics manifests everywhere in nature, but few numerical patterns are more common than the Fibonacci Sequence . First described in 1202 by mathematician Italian Leonardo Bonacci (Fibonacci is a shortening of or "son of Bonacci"), the concept involves adding 1 and 1 together, then doing the same for every successive pair of numbers.

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Current benchmarks for evaluating large language models (LLMs) in medicine are primarily focused on question-answering involving domain knowledge and descriptive reasoning.

Such a task may be relevant in numerous other domains as well.

The proof, known to be so hard that a mathematician once offered 10 martinis to whoever could figure it out, uses number theory to explain quantum fractals. In 1974, five years before he wrote his Pulitzer Prize-winning book, Douglas Hofstadter was a graduate student in physics at the University of Oregon. When his doctoral adviser went on sabbatical to Regensburg, Germany, Hofstadter tagged along, hoping to practice his German. The pair joined a group of brilliant theoretical physicists who were agonizing over a particular problem in quantum theory. They wanted to determine the energy levels of an electron in a crystal grid placed near a magnet. Hofstadter was the odd one out, unable to follow the others' line of thought. "Part of my luck was that I couldn't keep up with them," he said.

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