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A 50-year-old computer-assisted proof
5+ day, 3+ hour ago (254+ words) The idea of using computers to assist with proofs is not new. The first major computer-assisted proof was published in 1976, the proof of the four color theorem by Kenneth Appel and Wolfgang Haken. The authors reduced the proof of the…...
New RSA number factored
1+ week, 4+ day ago (244+ words) Eric Lu announced on X today that he has factored RSA-260, a number N with 260 digits (862 bits) that is the product of two large primes [1]. RSA numbers are challenge problems posed to gauge the security of RSA encryption, which rests…...
Making the unnecessary easier
2+ week, 3+ day ago (353+ words) I watched a few videos this morning, looking for ideas of what I could use AI to do. In one video, someone had an agent monitor tech news sites every 30 minutes to notify him of a variety of developments. No…...
Why special function terminology is arcane
3+ week, 1+ day ago (261+ words) Special functions are special because they’re useful. They can also be shrouded in arcane terminology. These two facts are related. The more widely useful a function is, the more likely it is that the function will be discovered independently multiple…...
The imbalance theorem
3+ week, 6+ day ago (196+ words) The imbalance conjecture is now a theorem. James Alexander Schreib and Yousof Yavari posted a proof last week. What does the conjecture theorem say? Start with a graph G with no edge between two nodes of the same degree. Then…...
Mean distance to the sun
3+ week, 6+ day ago (435+ words) Suppose you have a planet in an elliptical orbit around a star. The math is identical for any light object orbiting a heavy object, such as a moon or satellite orbiting a planet, but we’ll call the heavy object a…...