When all is shadowed, dark as night, Just look for me out in the light
Let's have the equation $(DX)^2-Y^2= ± Z^5$ and $x,y$ two positive integers greater than zero. From some facts we can obtain solutions of the above equation by giving integer values at $x,y$. Examples:
if $x=11$ and $y=2$ then we have the solution $11*(641)^2-(2122)^2=7^5$;
if $x=5$ and $y=2$ ...0
Three prisoners are seated at a table. Each of them has a mobile phone on their lap, and they are not allowed to look at anyone else’s phone (and obviously no other form of communication is allowed).
Each phone displays a number from 0 to 10 inclusive. They know no two prisoners have the same num...
0
So from a couple other puzzles, you might remember that I'm a professor of Awesomeness at the Ad Hoc University! This time, I've given my students some numbers and their scorez. They need to tell me how I scored them!
Here we are:
197 = 26 + 592 = 618
1 = 0 + 1 = 1
1337 = 44 + 8584 = 8628
43770 ...
