Riemann hypothesis and Physics
Physics and Mathematics Pólya was hesitant when it came to choosing his career. He said: I thought I was not good enough for physics and I was too good for philosophy. Mathematics is in between. I […]
number theory
Gilbreath’s conjecture
We consider the sequence of primes in a row. Below we write the differences between them: $$\begin{array}{ccccc cccccccccc} 2&&3&&5&&7&&11&&13&&17&&19\\ &1&&2&&2&&4&&2&&4&&2\\&&1&&0&&2&&2&&2&&2\\&&&1&&2&&0&&0&&0\\&&&&1&&2&&0&&0\\&&&&&1&&2&&0\\&&&&&&1&&2\\&&&&&&&1\end{array}$$ We continue the process by forming a third row, but subtracting the smaller from the […]
Sylvester’s arithmetic problem
Update (December 1, 2023) Few entries have had as much impact as this one. First of all Professor Paul Monsky of Brandeis University wrote the note he reports in his comments. It is a delightful […]
Robert P. Langlands: Abel Prize 2018
About the Abel Prize On 20 March 2018, the Norwegian Academy of Science and Letters announced the award of the 2018 Abel Prize to mathematician Robert P. Langlands, of the Institute for Advanced Study at […]