Why do prime numbers make these spirals? | Dirichlet’s theorem and pi approximations
7 人推荐 · 跨 5 个月 · 2019–2024
中文导读
3Blue1Brown 经典数学拆解：结合模运算、狄利克雷定理和圆周率的有理逼近，生动揭示了为什么在极坐标下绘制质数会出现神奇的螺旋图案。
为什么 HN 推它
关于质数螺旋与乌拉姆螺旋（Ulam spiral）最通俗透彻的视觉解释，在数学与编程圈子里被奉为必看神作。
「这是我看过对这类质数螺旋最通透、最具启发性的解释。」HN 网友原话：Here is one of the most enlightening explanations for these kinds of spirals I have seen by 3blue1brown
英文原摘要（HackerTube / Claude 整理）
3Blue1Brown explains why plotting primes in polar coordinates produces spiral patterns, using modular arithmetic, Dirichlet's theorem and rational approximations of pi.
Frequently recommended as the clearest explanation of prime spirals and the Ulam spiral.
HN 上的提及
after watching the following video, I think it just says something about modular arithmetic and rational approximations of 2 Pi.
I really enjoyed 1brown3blue breaking down why prime numbers form patterns when graphed in polar coordinates.
explaining why plotting primes in polar coordinates looks like a pattern
3B1B has a semi related video
this video by 3Blue1Brown explains why primes plotted as (p, p) in polar coordinates produce interesting patterns.