Here's a puzzle of mine that I created around 2 hours ago: Let $f(x):=x^2$ and $g(x):=x-4$. Starting with x=0, what is the least amount of times you need to apply the functions $f$ and $g$ so that at some point, the output is $1024$? Restrictions Negative numbers less than $-8$ are not allowed. ...

An ant resides at the origin of the Cartesian plane. One morning she sets out on a long excursion of the its first quadrant and pledged to walk a different prime number of units every day, always in a straight line, always within the same quadrant, every day walking the next prime number of units...

Set-up: John and Bob are playing a game that goes like this: Bob chooses a question, though some types of questions are off-limits, which will be listed. After doing this, he cannot do anything else until step 4. John reads the question. Between step 1 and 2, he may do whatever he wants, except ...

Previous puzzle Take this puzzle of mine I created about an hour ago Take two functions, $f(x):=x^2$ and $g(x):=x-3$. Starting from $x=0$ and applying these functions as needed, what is the minimum amount of times you will need to apply the functions $f$ and $g$ to get $492804$? Restrictions Num...