A froge leaps on lily pads, each jump is a fibonacci number farther than the last. How many jumps to reach 1000 lily pads?
When lily pads are arranged in a 3x3 grid, the froge can travel from any pad to any other in steps of 1. How many unique path permutations exist?
The froge only jumps on prime-numbered pads. Given 30 pads, how many are prime and accessible for leaping?