Q: Did you ever realized that the Prime Number Theorem is equivalent to the statement that the

nth prime numberp_{n}satisfies

- ??… Continue reading

# Tag Archives: Hollidays & Math…

## Day #22 : The Millenium´s Nicest Problems

Q: Could you just tell the list of the – solved and unsolved – Millenium Problems??…

## Day #21: Mandelbrot Set and the Fractal Culture

Do you actually know what is the dimension of the boundary of the Mandelbrot set??…

## Day #20: Riding on a Wild Torus

Q1: Say, you are actually riding on the surface of a torus, and say, you´re in a hurry! Could you find the shortest path to follow??…

Q2: And, if the surface of a – flexible – square that generates a Torus is just 1. Could you tell radius of its two generating circles and of its cartesian equation??…

## Day #19:: In or Out of a Little Klein Bottle

*Time evolution of a Klein figure in xyzt-space*

Q: What do you really understand of it??… Continue reading

## Day #18: Reaching into Kepler´s Conjecture and Hilbert´s 18th Problem

Q: Imagine a cube of sides L and put 8 – maximal – spheres centered on each vertex. Then calculate the density of this 8/8 spheres inside the cube!!… Now, put a whole sphere in the center of the cube – as dense as it´s possible – and calculate again!!… And now, take away the central sphere, and instead, put central spheres in each of the six faces of the cube – as dense as possible – and calculate again!!… Is this the maximal density of Kepler´s conjecture??…

## #17: How many people do I need to have at my birthday party so that there is a better-than-even chance that one of them will share my birthday i.e. 17/12??…

Q: How many people do I need to have at my birthday party so that there is a better-than-even chance that one of them will share My birthday??… Continue reading