**Problem:**

Two number theorists, bored in a chemistry lab, played a game with a large flask containing 2 litres of a colourful chemical solution and an ultra-accurate pipette. The game was that they would take turns to recall a prime number p such that is also a prime number. Then, the first number theorist would pipette out 1/p litres of chemical and the second litres. How many times do they have to play this game to empty the flask completely?

**Hint: **

A bit of real analysis is required.

**Reference:**

*I will publish the reference when I post the solution. So that all students/readers can curb their impulse to see the solution immediately!!!*

I hope you will be hooked to the problem in a second….!!! **Here is a beautiful utility of pure math! ðŸ™‚**

*Cheers,*

Nalin Pithwa

PS: I do not know if the above problem did (or, will?? )appear as RMO question. It is just my wild fun with math to kindle the intellect of students in analysis !! ðŸ™‚