19+ hour, 42+ min ago  (94+ words) I recently found out about Andrica's conjecture: the square roots of consecutive primes are less than 1 apart. In symbols, Andrica's conjecture says that if pn and pn+1 are consecutive prime numbers, then "pn+1 " "pn < 1. This has been empirically verified for…...

6+ day, 21+ hour ago  (735+ words) They are the atoms of arithmetic'indivisible, infinite, and hauntingly unpredictable. Why have the greatest minds in history been seduced by primes? Imagine you are handed an infinitely long list of numbers 1, 2, 3, 4, 5 " and you are told that hidden inside this list…...

1+ week, 2+ day ago  (163+ words) Nature Physics (2026)Cite this article There are theoretical predictions that topologically non-trivial states in materials leave tell-tale signs in the spatial structure of their wave functions. These have now been observed in monolayer materials. Bradlyn, B. et al. Nature 547, 298305 (2017). Po, H. C. , Watanabe,…...

1+ week, 5+ day ago  (372+ words) A rigorous, fully verified geometric perspective on primality via M'bius inversion of regular polygons Abstract We present a unified theoretical framework that connects the geometry of regular polygons to the analytic theory of prime numbers through the M'bius function and…...

2+ week, 1+ day ago  (105+ words) New Scientist By David Stock and Jacklin Kwan The seemingly random distribution of prime numbers has confounded some of the best mathematical minds for centuries. But the Riemann hypothesis, which relates to the zeros in a mathematical function, may hold…...

2+ week, 2+ day ago  (91+ words) Add your subjects to find the right study guides, track progress and keep everything in one place. Part of Maths Algebra " Higher A GCSE Maths video about solving equations with fractions. This video explains how to solve equations with fractions…...

2+ week, 2+ day ago  (231+ words) Dmitri Mendeleev is best known for creating the first periodic table of chemical elements. He also discovered an interesting mathematical theorem. Empirical research led him to a question about interpolation, which in turn led him to a theorem about polynomials…...

2+ week, 3+ day ago  (139+ words) Some mathematical problems look intimidating. They involve long formulas, unfamiliar symbols, and concepts that require years of study. The problem in this story belongs to the second category. A curious student could understand it in less than a minute. And…...

2+ week, 3+ day ago  (126+ words) To prove that any integer n and its fifth power n" have the same last digit, we need to show that their difference is a multiple of 10. This is equivalent to proving: To prove 10 | (n" " n), it is enough to show…...

2+ week, 5+ day ago  (10+ words) Ku Coin...